Statistical Mechanics
Conductance fluctuations in random resistor networks with hyperuniform disorder
Bikram Pal
We study conductance fluctuations in random resistor networks with hyperuniform bond disorder, where the fluctuations of the number of bonds present in a test volume $V$ scale as $V^{-a}$ with $a > 1/2$. Since small changes in the concentration of bonds present in a local region give rise to a proportionate increase in the locally averaged conductance, one may expect that in hyperuniform disorder, conductance fluctuations will also show suppressed fluctuations. We argue that this is not the case: conductance fluctuations scale as $L^{-d/2}$ for a sampling size $L$. We show numerical results for $d=2$.
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Mesoscale and Nanoscale Physics
Mesoscopic Josephson effect in graphene disk at magnetic field
Adam Rycerz
Unlike for tunneling Josephson junctions, for which the current-phase relation is given by the sine function, with the critical current ($I_c$) and normal-state resistance ($R_N$) following the relation $I_cR_N=(\pi/2)\,\Delta_0/e$ (where $\Delta_0$ is the superconducting gap and electron charge is $-e$), mesoscopic Josephson junctions show more complex current-phase relations, with the skewness $S>0$, what is related to the presence – in case the leads are in the normal state – of transmission probabilities taking the values comparable to $1$. Here, we show that these features also appear for a
superconductor-
graphene-
superconductor (S-g-S) junction in the disk-shaped (Corbino) geometry, when the
magnetic field is adjusted such that $I_c\rightarrow{}0$ and $R_N\rightarrow{}\infty$. In such a case, the product $I_cR_N\approx{}1.85\,\Delta_0/e$, and the skewness $S\approx{}0.14$. The results obtained from
quantum-mechanical mode-matching analysis for the Dirac-Bogoliubov-De-Gennes equation are compared with simpler model assuming incoherent scattering between two circular interfaces separating the sample and the leads.
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Disordered Systems and Neural Networks
Physics-Informed Deep Image Prior Reconstruction of In-Plane Magnetization from Scanning NV Magnetometry
Zander Scholl, Justin Woods, Charudatta Phatak et al. (+1 more)
Reconstructing magnetization in nanoscale
magnetic thin films is essential for developing next-generation
memory, sensors, and various spintronic technologies. However, this remains challenging due to the ill-posed nature of the stray field inverse problem, i.e., there are infinitely many magnetization solutions to a given stray field distribution. Here, we demonstrate that a physics-informed deep image prior (DIP) framework, using a simple convolutional autoencoder conditionally achieves a reasonable qualitative and quantitative reconstruction of complex in-plane magnetization patterns from scanning NV magnetometry. We find that the orientation of user-defined masks implemented to restrict the reconstruction solution space dramatically affects convergence. The optimal
alignment of the mask improves the reconstruction signal-to-noise ratio by up to $\SI{3}{\decibel}$, thereby also serving as a diagnostic tool. The DIP approach requires no pre-trained
datasets and is considered computationally less intensive as compared to supervised learning approaches. We analyze both Landau and dipole domain structures in lithographically patterned Permalloy nanostructures by incorporating experimentally-guided spatial constraints. Complementary
magnetic force microscopy measurements were carried out to support the Scanning NV measurements.
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All authors Zander Scholl, Justin Woods, Charudatta Phatak, Hanu Arava
Materials Science
Multi-photon schemes for mid-infrared detection : Comparative study of bulk GaAs and Ge$_{1-x}$Sn$_x$
Alistair H. Duff and J. E. Sipe
We calculate the theoretical non-degenerate two
photon absorption and three color injected current response tensors for bulk GaAs and Ge$_{1-x}$Sn$_x$ for a range of
alloy compositions. In particular, by including a ”pump” beam we compare two ”schemes” that are sensitive to mid-infrared
photons. In ”scheme I” we consider GaAs and a pump
photon with energy greater than half the band gap, and in ”scheme II” we consider Ge$_{1-x}$Sn$_x$ with a pump
photon with energy less than half the band gap. We find that for certain pump and
alloy concentrations Ge$_{1-x}$Sn$_x$ has a substantially larger nonlinear response and three-color injected current than GaAs in the mid-infrared frequency window where both materials can absorb
photons via non-degenerate two-
photon absorption.
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Mesoscale and Nanoscale Physics · Cross-listed from physics.optics
Stark-tunable O-band single-photon sources based on deterministically fabricated quantum dot–circular Bragg gratings on silicon
Sarthak Tripathi, Kartik Gaur, Priyabrata Mudi et al. (+5 more)
Semiconductor quantum dots (QDs) offer outstanding
quantum-optical properties, making them highly attractive for
quantum information technologies. However, combining wide-range electrical tunability, efficient
photon extraction, elevated-temperature operation, monolithic silicon integration, and telecom-wavelength compatibility remains a major challenge. Here, we demonstrate electrically contacted circular Bragg grating (eCBG) resonators incorporating InGaAs QDs directly grown on silicon, enabling bright single-
photon emission in the telecom O-band. Deterministic electron-beam lithography and a ridge-based vertical p–i–n diode architecture enable precise device integration and electrical control of individual emitters. The QD–eCBGs exhibit a
quantum-confined Stark shift of approximately 16 nm (11 meV) at 4 K, representing a record for QDs embedded in nanophotonic structures at telecom wavelengths. This is achieved alongside a
photon extraction efficiency of $(21.7 \pm 3.0)\%$ into the first lens, while maintaining excellent radiative properties and high single-
photon purity, with $g^{(2)}(0)=0.0078 \pm 0.0012$ below saturation and $g^{(2)}(0)=0.0183 \pm 0.0021$ at saturation under pulsed excitation. Robust antibunching persists up to 77 K, with $g^{(2)}(0)=0.0663 \pm 0.0056$, enabling operation with
liquid-nitrogen or compact Stirling cryocoolers. Furthermore, spatially separated QD–eCBGs can be electrically tuned into spectral resonance without degrading
photon statistics. These results establish a silicon-compatible, electrically addressable telecom O-band
quantum light platform combining wide spectral tunability, high single-
photon purity, and elevated-temperature operation, providing a scalable route toward practical photonic
quantum networks.
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All authors Sarthak Tripathi, Kartik Gaur, Priyabrata Mudi, Peter Ludewig, Alexander Kosarev, Kerstin Volz, Imad Limame, Stephan Reitzenstein
Mesoscale and Nanoscale Physics
Boundary-Robust Transmission Asymmetry as a Topological Signature in Open Floquet Lattices
Ren Zhang, Xiao-Yu Ouyang, Xu-Dong Dai et al. (+1 more)
We identify a boundary-robust topological signature of open Floquet
lattices: although nonadiabatic boundaries strongly reshape the transmission lineshape, the integrated left–right transmission asymmetry saturates to a plateau set by the bulk Floquet winding number. Its origin is a deep-bulk branch-population principle: in the long-sample limit, each propagating Floquet–Bloch branch is generically populated with unit weight, since true Floquet bound states are nongeneric. The robust observable is therefore the cumulative transmission imbalance rather than the boundary-sensitive transmission profile. We propose direct detection by cold-atom transmission spectroscopy. For electronic transport, the same asymmetry admits contact-model-dependent electrical readouts: a coherent Floquet–Landauer–Büttiker interpretation predicts a near-\(2ef\) response in weak SAW devices, whereas a blocking-factor post-processing yields a qualitatively different signal.
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All authors Ren Zhang, Xiao-Yu Ouyang, Xu-Dong Dai, Xi Dai
Statistical Mechanics · Cross-listed from quant-ph
Principles of relativistic quantum statistical thermodynamics: a class of exactly solvable models
A. Yu. Zakharov
A system of interacting atoms is represented as an union of two subsystems, one of which is the system of atoms, and the other is an auxiliary scalar covariant field, which is equivalent to a given static interatomic potential of general form only in the non-relativistic approximation. It is shown that the auxiliary field is a superposition of Klein-Gordon fields, the parameters of which are related to singular points of the
Fourier transform of the corresponding interatomic potential. The general form of the relativistic
Hamiltonian system of interacting atoms is established. It is shown that the exact calculation of the relativistic partition function of a system of interacting atoms, taking into account the field degrees of freedom, reduces to renormalizing the parameters of the auxiliary field. It is established that the field degrees of freedom lead to a divergence in the total energy of a classical relativistic system - an analogue of the ultraviolet catastrophe. Quantization of the auxiliary field eliminates this divergence. The existence of a phase transition within the framework of relativistic
quantum statistical thermodynamics has been proven.
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Materials Science
A Single Twist-Angle Selection Method for the Electronic Structure of Bilayer Materials
Ryan A. Baker, William Z. Van Benschoten and James J. Shepherd
Structure factor twist averaging (sfTA) is a newer method that has been shown to reproduce twist-averaged (TA) CCSD energies for bulk systems at a low computational cost. In this work, we extend this method for the treatment of low-dimensional materials in the form of two variants: paired sfTA and binding sfTA. These variants affect which twist angles are used in the sfTA protocol, as well as how the special twist angle is selected, namely by using the binding structure factor. These changes are meant to incorporate the binding interaction into the twist-angle selection
algorithm within sfTA. Both variants are tested on a variety of
bilayer systems, and the resulting binding correlation energies are compared to original sfTA results. We show that the variants are able to produce results approaching TA, with binding sfTA producing the most accurate energies. We also use contour plots of the test systems to show that these improvements are most likely caused by a cancellation of errors.
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Superconductivity
Unconventional mixed state in the nematic superconductor LiFeAs
G. Lamura, T. Winyard, P. Gentile et al. (+5 more)
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All authors G. Lamura, T. Winyard, P. Gentile, M. Speight, F. Anger, B. Buchner, S. Wurmehl, T. Shiroka
Materials Science
Electronic Spectroscopy of Atomic Defects in Molybdenum Disulfide under Ambient Conditions
Joshua R. Evans, Diego A. Garibay, Aiden N. Kuhls et al. (+1 more)
Transition metal dichalcogenides (TMDs) attract significant
attention as potential building blocks in next-generation electronic devices. On the other hand, a comprehensive understanding of how various defects affect local electronic properties under realistic operational conditions is yet to be formed. Here, we present results of electronic spectroscopy experiments performed on individual defects in the prototypical TMD molybdenum disulfide (MoS2) under ambient conditions, by way of conductive atomic force microscopy (C-AFM). Data acquired in the form of consecutive, high-resolution current maps at various bias voltages allow the assessment of local conductivity and differential conductance as a function of bias voltage for individual defects, the effects of which range from single atomic sites to several nanometers in lateral size. Characteristic behavior in spectroscopy data allows the categorization of observed defects into distinct groups, and their chemical identification as n-type and p-type transition metal substitutions of molybdenum atoms, as well as oxygen substitutions of sulfur atoms.
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All authors Joshua R. Evans, Diego A. Garibay, Aiden N. Kuhls, Mehmet Z. Baykara
Superconductivity
Record magnetoresistance, enhanced superconductivity, and fermiology in WTe2
Gianluca Delgado, Elliott Runburg, Chaowei Hu et al. (+12 more)
The diverse electronic properties of transition metal chalcogenides can be very sensitive to
crystal imperfections. A new
crystal growth technique, known as horizontal flux transport, offers a route to improved
crystal quality. By refining this technique and applying it to the topological semimetal WTe2, we achieved
crystals with an order of magnitude less disorder as determined by electrical transport and scanning tunneling microscopy measurements. At low temperatures these
crystals exhibit the largest magnetoresistance reported in a metal. Exfoliated monolayers show
quantum oscillations for the first time in the electrostatically doped metallic states, enabling determination of band degeneracies and the valley splitting induced by an electric field. Moreover, they exhibit a gated superconducting dome with a greatly enhanced critical temperature approaching 1.8 K. This advance opens up new avenues for employing WTe2 in topological electronics and gated superconducting devices, and promises comparable breakthroughs with other chalcogenides.
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All authors Gianluca Delgado, Elliott Runburg, Chaowei Hu, Yuzhou Zhao, Jonathan M. DeStefano, Keng Tou Chu, Florie Mesple, Ellis Thompson, Kenji Watanabe, Takashi Taniguchi, Jihui Yang, Matthew Yankowitz, Xiaodong Xu, Jiun-Haw Chu, David H. Cobden
Materials Science
From Data-Driven Models to Physical Insight: Vibrational Entropy Governed by Atomic Volume
Shivam Tripathi, Jatin Kawatra, Varun Malviya et al. (+1 more)
Vibrational
entropy plays a central role in determining phase stability and temperature dependent behavior in materials, yet its calculation from first-principles
phonon methods remains computationally demanding. In this work, we combine data-driven modeling with physically motivated analysis to develop an efficient and interpretable framework for predicting vibrational
entropy. Using a
dataset derived from PhononDB, a feedforward neural network trained on Materials Project and composition based descriptors achieves high predictive accuracy, while SHAP analysis identifies atomic volume as the dominant factor governing vibrational
entropy. Guided by this insight, simplified analytical models are constructed, revealing a logarithmic dependence of vibrational
entropy on atomic volume consistent with
lattice dynamical considerations. A logarithmic linear model is shown to provide an accurate and physically interpretable description across the full range of materials. To extend the analysis to finite temperatures, a temperature dependent formulation is introduced that incorporates T3 scaling at low temperatures and logarithmic dependence at higher temperatures, consistent with Debye and Einstein type behavior. This unified model captures both structural and thermal contributions to vibrational
entropy with good accuracy. Overall, the proposed framework demonstrates that vibrational
entropy can be predicted using simple, physically meaningful relationships, offering a computationally efficient alternative to full
phonon calculations and enabling
entropy informed materials screening.
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All authors Shivam Tripathi, Jatin Kawatra, Varun Malviya, Krishna Mehta
Statistical Mechanics
Bayesian phase transition for the critical Ising model: Enlarged replica symmetry in the epsilon expansion and in 2D
Kay Joerg Wiese, Alapan Das and Adam Nahum
A process that images or measures bond energies in the critical Ising model can be in distinct measurement 'phases', depending on the precision of measurement. We study the transition into the strong-measurement phase using replica field theory (an epsilon expansion around six dimensions), a
symmetry analysis, and numerical simulations in two dimensions. The results show that certain inference problems possess unexpected structure associated with an enlarged
symmetry of the replica description. The
symmetry imposes constraints on correlation functions, and is an analog of the Nishimori phenomenon in the Ising
spin glass, but in a distinct replica limit. It determines the exact critical exponent for an Edwards-Anderson-like correlator in the measured Ising model, both in 2D and near the upper critical dimension. The
symmetry is present microscopically for certain measurement protocols, and it emerges in the infrared for generic protocols at the critical measurement strength. We also examine the epsilon expansion for models with power-law interactions and/or long-range measurement. Finally, we describe an analogous replica
symmetry enlargement for measurement in Wegner's
lattice gauge theory.
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Statistical Mechanics · Cross-listed from physics.soc-ph
Nesting Controls Phase Transitions in Higher-Order Contagion
Hugo P. Maia, Guilherme Ferraz de Arruda, Silvio C. Ferreira et al. (+1 more)
The organization of higher-order interactions plays a central role in shaping collective dynamics, yet a general structural principle governing contagion on hypergraphs remains lacking. Here we introduce a nesting coefficient that quantifies how lower-order interactions are embedded within higher-order ones, defining a continuum between simplicial complexes and random hypergraphs. Using a higher-order susceptible-infected-susceptible model, we show that increasing nesting lowers the activation threshold and suppresses discontinuous transitions, while weak
embedding favors explosive behavior. We further demonstrate that correlations between nesting and interaction order modulate the onset of activity while only weakly affecting transition discontinuity. Analysis of synthetic and empirical networks reveals that nesting strongly predicts hysteresis, establishing it as a key structural determinant of phase transitions in higher-order systems.
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All authors Hugo P. Maia, Guilherme Ferraz de Arruda, Silvio C. Ferreira, Yamir Moreno
Materials Science
Weak Polar Optical Phonon Scattering Decouples Electron and Phonon Transport in Layered Thermoelectric Materials
Zhonghao Xia, Michele Reticcioli, Yateng Wang et al. (+3 more)
High-performance thermoelectric (TE) materials are crucial for efficient waste-heat recovery and solid-state cooling technologies. A persistent challenge in TE materials design arises from the strong interdependence among the electrical conductivity ($\sigma$), Seebeck coefficient ($S$), and
lattice thermal conductivity ($\kappa_{\mathrm{L}}$). Layered compounds can effectively suppress $\kappa_{\mathrm{L}}$ along the cross-plane direction owing to weak interlayer interactions; however, they often suffer from low carrier mobility ($\mu$) caused by limited band dispersion and strong polar optical
phonon (POP) scattering. Here, we perform high-throughput density functional theory calculations to screen 236 layered
semiconductors and identify candidates with low effective mass ($m^{*}$) and weak POP scattering. We identify 23 compounds with high cross-plane $\mu$, among which 14 exhibit large power factors ($S^{2}\sigma$). Notably, GaGe$_{2}$Te stands out with exceptionally high cross-plane $\sigma$ and power factor, enabled by a favorable combination of small $m^{*}$ and a small ionic dielectric constant. Simultaneously, GaGe$_{2}$Te exhibits an ultralow cross-plane $\kappa_{\mathrm{L}}$ of 0.57~W~m$^{-1}$~K$^{-1}$ at 300~K, originating from weak interlayer bonding and pronounced
phonon anharmonicity. These results demonstrate an effective strategy to decouple electron and
phonon transport in layered materials by mitigating POP scattering, thereby providing a promising pathway toward high-performance thermoelectric materials.
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All authors Zhonghao Xia, Michele Reticcioli, Yateng Wang, Yali Yang, Alessandro Stroppa, Jiangang He
Strongly Correlated Electrons
Grassmann time-evolving matrix product operators for fermionic impurities coupled to a superconducting bath
Chu Guo, Wei Wu, Xiansong Xu et al. (+4 more)
The Grassmann time-evolving
matrix product operator (GTEMPO) method, which represents the Feynman-Vernon influence functional as a temporal
matrix product state, has been shown to be a flexible and potentially scalable solution for fermionic
quantum impurity problems. In this work, we extend GTEMPO to solve fermionic
impurity problems in the Nambu formalism, in which the
impurity is coupled to a superconducting bath. A key insight is that by employing the Bogoliubov transformation for the superconducting bath, one could obtain the analytic expression of the Feynman-Vernon influence functional in a similar form to the case of a normal bath, after which the core
algorithms of GTEMPO can be straightforwardly adapted. We demonstrate the accuracy of our method by benchmarking it against exact diagonalization in several exactly solvable cases, and against the continuous-time
quantum Monte Carlo method using converged dynamical mean field theory (DMFT) iterations on the imaginary contour in the non-integrable case. In all cases, we perform both imaginary- and real-time calculations to illustrate the flexibility of our method. These results illustrate that our method could be potentially useful as an
impurity solver in DMFT as well as its non-
equilibrium extension for fermionic
impurity problems in the Nambu formalism.
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All authors Chu Guo, Wei Wu, Xiansong Xu, Ping-Xing Chen, Changming Yue, Tian Jiang, Ruofan Chen
Mesoscale and Nanoscale Physics
Noise spectroscopy of insulating and itinerant altermagnets
Lucas V. Pupim and Mathias S. Scheurer
One of the central goals in the emergent field of altermagnetism is the unambiguous experimental identification and characterization of altermagnetic order across a variety of compounds. This motivates exploring tools that can clearly distinguish altermagnets from antiferromagnets, based on
symmetry signatures, and offer access to the dominant orbital character (e.g., $d$-wave vs. $g$-wave) of the
magnetic order parameter. In this work, we theoretically explore the potential of noise magnetometry for this task, studying contributions from both
magnons and itinerant electrons in different regimes and scenarios. While altermagnetism and antiferromagnetism also lead to different noise spectra for
magnons, we find the most striking and
symmetry-sensitive signatures in the charge fluctuations of itinerant altermagnets. Both for the homogeneous bulk case and in the presence of strain and/or around domain walls, we identify noise contributions that are only permitted by
symmetry in the altermagnet and, thus, provide a unique signature of altermagnetism. Furthermore, the angular dependence of noise around domain walls also offers access to the orbital character of the altermagnet. On a more technical note, we discuss the role and relevance of
lattice effects related to the dipole tensor. We hope that our work will help pave the way towards the clear experimental identification of altermagnetism across a wide range of candidate materials.
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Materials Science · Cross-listed from physics.optics
Role of ultrafast electron-optical-phonon interactions in high harmonic generation from graphene
Adam Herling and Ofer Neufeld
High harmonic generation (HHG) is a widely explored process in solids, where intense
lasers drive attosecond-to-femtosecond electron dynamics within bands, causing high-energy emission. While electrons and
photons are considered the main players in HHG, solids also host ubiquitous
phonons that are typically assumed negligible in HHG due to their longer timescales. We theoretically study HHG in
graphene with a formalism including optical
phonons in the static limit, where the
lattice is frozen on the electronic timescale and HHG is computed by sampling thermally-occupied
phonons and ensemble-averaging. We show that in
graphene: (i) Optical
phonons strongly suppress HHG yields by coupling to interband currents and causing harmonic phase scrambling (destructive interference), explaining the lack of experimental HHG above ~3 eV. (ii) HHG yields become temperature-dependent due to
phonon occupations, though in
graphene this dependence is weak since
phonon energy scales are dominated by zero-point motion. (iii) Optical
phonons dephase interband coherences at a rate equivalent to T2~5.7 fs, substantially faster than e-e scattering, suggesting thermal
phonons dominate electronic decoherence in strong fields. (iv)
Phonons smoothen HHG ellipticity-dependent curves, yielding better agreement with experiments. Remarkably, all effects are timescale-independent, arising in the static picture of electron-
phonon interactions, making results transferable to attosecond phenomena. Our results shed light on the dephasing time problem in HHG and the role of
phonons on attosecond timescales, with implications for other systems and processes such as Floquet gaps and photocurrents in
graphene.
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Mesoscale and Nanoscale Physics
Analytical Treatment of Noise-Suppressed Klein Tunneling in Graphene with Possible Implications for Quantum-Dot Qubits
Kamal Azaidaoui, Ahmed Jellal, Hocine Bahlouli et al. (+2 more)
We study
quantum tunneling through a potential barrier whose height fluctuates in time and is modeled by Gaussian white noise. We map the
stochastic dynamics onto an equivalent time-independent Lindblad equation for the density
matrix, allowing fully analytical solutions. For Schrödinger particles, noise introduces dissipation that suppresses Fabry-Pérot oscillations and yields an exponentially decaying transmission. Applying the same formalism to
graphene, we demonstrate that noise induces a complex longitudinal wavevector within the barrier, leading to a strong suppression of transmission and Klein tunneling, even at normal incidence. Our approach promises improved control over Klein tunneling. These results demonstrate that noisy barriers can act as tunable dissipative elements, offering a pathway to enhanced control of electron transport in
graphene-based devices. We also briefly discuss how our results could guide the design of
graphene quantum dots for potential use in
spin qubit devices.
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All authors Kamal Azaidaoui, Ahmed Jellal, Hocine Bahlouli, A. Al Luhaibi, Michael Vogl
Materials Science
Wafer-scale hybrid molecular beam epitaxy of BaTiO3 and SrTiO3 on silicon
Xiaodong Tian, Yan Lin, Hanbin Gao et al. (+8 more)
The integration of epitaxial barium titanate (BTO) on silicon represents a highly promising pathway for next-generation, energy-efficient photonic integrated
circuits due to BTO's exceptionally high Pockels coefficients. However, the scalable epitaxy of BTO on Si remains hindered by complex stoichiometric control and slow growth rates. In this work, we demonstrate the continuous, uniform wafer-scale growth of high-quality BTO films on SrTiO3 (STO)-buffered 4-inch Si(001) wafers using a fully hybrid molecular beam epitaxy (hMBE) approach. By utilizing titanium tetraisopropoxide as a titanium precursor, we achieve a self-regulating, adsorption-controlled layer-by-layer growth at rates exceeding 75 nm/h, while maintaining an atomically sharp and structurally coherent BTO/STO interface. We systematically compare the structural, ferroelectric, and electro-optic (EO) properties of fully hMBE-grown BTO with those deposited via pulsed
laser deposition (PLD) on identical STO/Si templates. While both techniques yield high-quality c-domain dominated films, the optimized hMBE-grown BTO exhibits superior crystallinity and a larger effective EO coefficient of 248 pm/V, surpassing that of the PLD-grown films (220 pm/V). These results highlight the advantages of the fully hMBE approach as a scalable, deterministic, and high-performance materials platform for wafer-scale integrated ferroelectric photonics.
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All authors Xiaodong Tian, Yan Lin, Hanbin Gao, Han Yu, Yunpeng Ma, Ruiqi Liang, Changfu Chen, Wei Li, Chenguang Deng, Qiang Zheng, Qian Li
Mesoscale and Nanoscale Physics · Cross-listed from physics.optics
Pulsed Vertical Electric Dipole Over a Lossy Halfspace: On the Time-Domain Zenneck Wave
Giampiero Lovat
We investigate the transient electromagnetic field radiated by a pulsed vertical electric dipole above a lossy half-space and identify its time-domain signatures associated with the Zenneck wave. Starting from the classical Sommerfeld representation, we derive a causal time-domain formulation based on the double-deformation technique, with successive contour deformations in the transverse-wavenumber and frequency planes. This yields an explicit decomposition of the field into source-pole, loss-pole, modal-pole, and residual steepest-descent contributions. The resulting expressions exactly satisfy causality and are validated against a reference solution obtained through a standard double inverse transform. The analysis shows that one modal contribution, generated by the frequency-plane deformation and related to the frequency-domain Zenneck pole, exhibits reduced-time invariance and a spatial attenuation consistent with a surface-wave component. Under suitable source and observation conditions, this term can dominate the field over a broad and physically relevant finite late-time interval. At the same time, for the considered damped-sinusoidal excitation, the strict asymptotic tail at fixed distance remains algebraic of order $t^{-5/2}$, with contributions from both the residual continuous spectrum and the modal-pole family. These results provide a rigorous and physically interpretable time-domain manifestation of the frequency-domain Zenneck wave in the pulsed half-space problem.
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