Materials Science
Highly Rectifying Cubic Copper Iron Sulfides p-n Junction Diode Fabricated by Anodic Oxidation
Yoshimine Kato, Tomoaki Nakamura, Katsuya Komorita et al. (+1 more)
Rectification properties of
semiconductor p-n junction diodes are the basic and important characteristics for electronic device evaluation, especially for novel
semiconductor materials. Today's
semiconductor devices' fabrication and integration processes require multibillion-dollar investments and are desired to be reduced or simplified. Therefore, low-cost and non-toxic base metal materials with simple fabrication methods are desired for the future
semiconductor industry. Recently, copper-based sulfides have been studied for
semiconductor devices such as thermoelectric, photovoltaic, or water-splitting applications. Here, a highly rectifying p-n diode of a cubic (disordered) phase Cu4Fe5S8 polycrystal with a zincblende-like structure fabricated by a simple/low-cost wet process is shown. It is found that the Cu4Fe5S8 diode shows the highest rectification ratio in the order of 106 with a large forward current density of 15 Acm-2 (@1.5 V forward bias) at room temperature among the other compounds of copper iron sulfide devices. This remarkable and stable diode characteristic obtained by the p-type layer anodically grown on the sintered n-type cubic-Cu4Fe5S8 can bring the industry closer to low-cost
semiconductor manufacturing. These results open a platform of novel
semiconductor materials such as cubic-Cu4Fe5S8 with further superior
crystal growth and conductive characteristics.
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All authors Yoshimine Kato, Tomoaki Nakamura, Katsuya Komorita, Kungen Teii
Statistical Mechanics
Temporal Renormalization and the Critical-like Behavior in Supercooled Liquids
D. M. Zhang, D. Y. Sun and X. G. Gong
Inspired by the Kadanoff transformation in the standard renormalization group theory, we propose a temporal renormalization scheme. A Boltzmann factor that explicitly depends on the renormalized timescale is constructed, permitting thermodynamic quantities to be evaluated self-consistently across different timescales. By applying the scheme to the long-time dynamics of supercooled
liquids, we uncover critical-like behaviors of supercooled
liquid with three characteristic renormalization timescales: At the first timescale s_{\alpha}, the system appears to be "thermodynamically frozen", i.e., the energy fluctuation becomes temperature-independent throughout the supercooled regime. At the second timescale s_{\beta}, the third-order moment of energy distribution reaches a maximum, and s_{\beta} is nearly temperature-independent. At the third timescale s_{\gamma}, the third-order moment of energy distribution passes through a minimum, and s_{\gamma} diverges as a power law s_{\gamma}=(T-T_{c})^(-{\gamma}). The scaling relations may reveal an intrinsic behavior in supercooled
liquids, highlighting their unique feature. The current findings also demonstrate that temporal renormalization provides a powerful lens for investigating the timescale-specific dynamics.
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Materials Science · Cross-listed from physics.flu-dyn
Microfluidic Study of Evaporation-Driven Crystallization of Saline and Ammonia Brines under Hydrogen Flow
Karol M. Dąbrowski, Mohammad Nooraiepour and Mohammad Masoudi
Underground storage of hydrogen and ammonia in geological formations is essential for renewable energy integration, but salt precipitation during gas injection may threaten storage performance. While extensively studied for CO2 systems, precipitation mechanisms in hydrogen-brine and ammonia-brine systems remain poorly understood. This study presents a comprehensive microfluidic investigation of salt crystallization during hydrogen injection into saline and ammonia-containing brines using high-pressure microfluidics. We conducted 81 high-pressure experiments systematically varying brine composition (1-5 mol/kg NaCl), chemical additives (surfactants, alcohols, ammonia), and hydrogen flow rates (200-1300 mL/min). Quantitative image analysis reveals that hydrogen-induced precipitation differs fundamentally from CO2 systems. Hydrogen drives physical precipitation via evaporation and capillary trapping, producing discrete, localized deposits. In contrast, CO2-ammonia systems generate extensive reactive precipitation of ammonium bicarbonate with interconnected
crystal networks. Interfacial tension (IFT) controls both residual brine distribution and final
crystal coverage: high-IFT fluids form large, interconnected brine pools promoting extensive crystallization, while low-IFT fluids create isolated pools reducing
crystal coverage by 50%. Alcohol and surfactant additives suppress precipitation by enhancing brine mobility, whereas ammonia paradoxically increases
crystal fractions despite lower IFT. Higher flow rates accelerate crystallization across all compositions, enabling operational mitigation strategies. and demonstrate that gas-specific, rather than CO2-analog, risk assessments are essential for underground hydrogen storage design. The effectiveness of chemical additives offers promising pathways for near-wellbore protection in underground hydrogen storage operations.
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Soft Condensed Matter · Cross-listed from physics.optics
From Light Diffusion to Photocatalytic Rates: Compact Scaling Laws for Strongly Scattering Porous Slabs
Renaud A. L. Vallée and Rénal Backov
Light transport in strongly scattering porous photocatalytic materials governs the spatial distribution of absorbed
photons and therefore the generation of charge carriers driving photocatalytic reactions. Yet translating measured optical properties of such media into intrinsic reaction rate constants remains challenging, as it requires simultaneously accounting for multiple scattering, boundary losses, photochemical efficiency, and surface kinetics. Here we develop a compact analytical framework that unifies these processes for nanoparticle-loaded photocatalytic slabs. Using a finite-slab
diffusion model with extrapolated boundaries, we derive closed-form expressions for the fluence field and couple them to a photochemical
quantum efficiency and first-order surface kinetics. The resulting predictors yield intrinsic volumetric and areal rate constants whose dependence on the transport mean free path, optical thickness, and surface-to-volume ratio emerges transparently. Validation against Monte-Carlo
photon-migration simulations shows that the
diffusion approximation reproduces the fluence and generation-rate profiles with a modest multiplicative mismatch, typically within a factor of about 1.20-1.39, depending on the anisotropy and scattering phase function. This level of agreement is consistent with the known limits of the
diffusion approximation and is sufficient to enable reliable, design-oriented predictions. The analytical descriptors introduced here, such as l*, S/V and the extrapolation length zb are general, physically interpretable, and directly integrable into data-driven optimisation and geometry-engineered reactor design. The framework thus provides a versatile and physically grounded tool for photocatalytic systems across diverse applications, including VOC photo-degradation, indoor air purification, and
solar-fuel production.
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Superconductivity
Phase Separation in Kitaev Chain
Kazuhiro Kuboki
Kitaev chain is a one-dimensional spinless
fermion model that has $p$-wave superconducting (SC) states and Majorana zero modes at the edge. Usually this model is analyzed by taking only SC order parameter (OP) into account, but the situation significantly changes when OPs other than the SCOP are included. It turns out that the SC state in the latter case is prone to phase separation for moderate to strong attractiive interactions.
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Mesoscale and Nanoscale Physics
Coexisting Massive and Massless Dirac Fermions in Moire'-Reconstructed Bilayer Graphene
Mohit Kumar Jat, Kenji Watanabe, Takashi Taniguchi et al. (+1 more)
We report the emergence of massless Dirac
fermions in moiré-reconstructed bands of
bilayer graphene (BLG) aligned with hexagonal boron nitride (hBN). Magnetotransport measurements reveal that while the primary BLG band retains a
parabolic dispersion with a Berry phase of $2\pi$, the moiré-induced secondary bands at $n/n_0 = \pm 4$ host
chiral massless quasiparticles with a Berry phase $\pi$ and a
Fermi velocity $v_m \approx 3.6 \times 10^5 \mathrm{m s^{-1}}$. This transition from massive to massless carriers arises from topological band reconstruction driven by the hBN moiré potential. Our results demonstrate that moiré engineering in BLG/hBN offers a powerful route to tune band
topology and realize coexisting Dirac and massive
fermions within a single crystalline platform.
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All authors Mohit Kumar Jat, Kenji Watanabe, Takashi Taniguchi, Aveek Bid
Materials Science
Non-relativistic spin splitting: Features and Functionalities
Sayantika Bhowal and Arnab Bose
Recently,
spin splitting of non-relativistic origin in compensated antiferromagnets has drawn growing
attention in condensed matter research. Although many materials, now known to exhibit such
spin splitting, have been studied for decades, their manifestation along non-high-
symmetry momentum directions initially hindered their recognition. In recent years, significant progress has been made in uncovering the
symmetry principles that allow non-relativistic
spin splitting in the absence of net magnetization, revealing the unconventional physics arising from their coexistence. In this review, we provide a concise overview of non-relativistic
spin splitting in compensated antiferromagnets with various
spin configurations, including collinear, coplanar, and non-coplanar
spin arrangements. We summarize practical identification guidelines, highlight characteristic features in electronic band structures, and discuss the emerging functionalities, with an emphasis on promising directions for future exploration.
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Mesoscale and Nanoscale Physics
Electric field induced Berry curvature dipole and non-linear anomalous Hall effects in higher wave symmetric unconventional magnets
Srimayi Korrapati, Snehasish Nandy and Sumanta Tewari
We investigate the second-order anomalous
Hall response in two-dimensional higher-wave symmetric magnets, including the recently discovered class of collinear magnets known as altermagnets, when subjected to a
symmetry-breaking external electric field. In these systems, the first- and second-order anomalous
Hall responses mediated by the first- and second-order multipoles of the Berry
curvature over the occupied states vanish by
symmetry. However, a
symmetry-breaking dc electric field can induce a nonzero Berry
curvature dipole by coupling to a non-vanishing
quantum metric, also known as the Berry connection polarizability. An applied ac electric field can then generate a finite nonlinear transverse
Hall effect characterized by a second harmonic response. In addition, the dc field itself can generate a finite third-order transverse
Hall response. We discuss this remarkable effect in a class of higher-order symmetric unconventional magnets (of $p$, $d$, $f$, $g$, $i$
symmetry), including the subclass of altermagnets. We demonstrate that the electric-field-induced anomalous
Hall effect in the higher-wave-symmetric magnets can serve not only as a probe of the underlying
quantum metric of the occupied states but also as a means to distinguish the even ($d$-,$g$-wave) and odd ($p$-wave) order parameter
symmetries defined on the square
lattice.
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Superconductivity
Soft Phonon Charge-Density Wave Formation in the Kagome Metal KV$_3$Sb$_5$
Yifan Wang, Chenchao Xu, Zhimian Wu et al. (+11 more)
A range of of unusual emergent behaviors have been reported in the charge-density wave (CDW) state of the $A$V$_3$Sb$_5$ ($A=~$K, Rb, Cs) kagome metals, including a CDW formation process without soft
phonons, which points to an unconventional CDW mechanism. Here, we use inelastic x-ray scattering to show that the CDW in KV$_3$Sb$_5$ forms via
phonons that soften to zero energy at the CDW ordering vector ($L$-point) around $T_{\rm CDW}=78$~K. The intensity of soft
phonons exhibit a remarkable in-plane anisotropy, extending over a much larger momentum range along $L$-$A$ relative to $L$-$H$, which leads to diffuse scattering common among $A$V$_3$Sb$_5$. Using first-principles calculations, we find that the momentum-dependent electron-
phonon coupling (EPC) is peaked at $L$ and exhibits the same in-plane anisotropy as the
phonon softening. Conversely, the electronic susceptibility is not peaked at $L$ and shows the opposite in-plane anisotropy. Our findings favor momentum-dependent EPC as the driving mechanism of the CDW in KV$_3$Sb$_5$, with a CDW formation process similar to that of transition metal dichalcogenides.
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All authors Yifan Wang, Chenchao Xu, Zhimian Wu, Huachen Rao, Zhaoyang Shan, Yi Liu, Guanghan Cao, Michael Smidman, Ming Shi, Huiqiu Yuan, Tao Wu, Xianhui Chen, Chao Cao, Yu Song
Strongly Correlated Electrons
Microscopic evidence of a field-induced critical spin-liquid state in a frustrated metal
I. Ishant, Z. Guguchia, V. Fritsch et al. (+2 more)
A field-induced
quantum spin liquid (QSL) state is an extraordinary phenomenon, hitherto unobserved in metallic frustrated compounds. Recent bulk measurements have revealed intriguing field-induced
magnetic states in metallic frustrated CePdAl. However, the nature of these field-induced states, potentially including a QSL state, remains unclear due to the lack of detailed microscopic investigation. To elucidate these field-induced states, we employed the transverse-field
muon spin relaxation/rotation (TF-$\mu$SR) technique, applying various
magnetic fields parallel to the c-axis in single-crystalline CePdAl over a broad temperature range (100~K-100~mK). Our $\mu$SR data indicate that field-induced low-temperature states for fields B$\leq B_{c2}(=3.4~T)$ exhibit long-range
magnetic order, whereas for B>$B_{c2}$ they yield contrasting behavior. Notably, at 3.75 T, the transverse relaxation rate ($\lambda_T$) diverges following a power-law dependence below 800~mK along with an indication of finite frustration, whereas the Knight shift is temperature independent. These observations corroborate the signature of a critical
spin-
liquid (CSL) with
antiferromagnetic spin fluctuations. Furthermore, at 4.3 T, a non-
Fermi liquid state is observed where frustration is absent. This comprehensive microscopic study strongly suggests the existence of a CSL state in a metallic frustrated system.
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All authors I. Ishant, Z. Guguchia, V. Fritsch, O. Stockert, M. Majumder
Strongly Correlated Electrons
Kondo breakdown induced by non-Hermitian complex hybridization
Kazuki Yamamoto, Masaya Nakagawa and Norio Kawakami
Recently, a non-Hermitian Anderson
impurity model with one-body loss has been studied in [Phys. Rev. B 111, 125157 (2025)}], and it has been demonstrated that the renormalization effect generated by strong correlations counterintuitively changes the nature of dissipation into an emergent many-body dissipation that causes a Kondo breakdown. In a closely related context, it is also known that two-body loss in a non-Hermitian Kondo model triggers the Kondo breakdown. To elucidate the essence of these phenomena, we study the Anderson
impurity model with a non-Hermitian complex hybridization as an effective model that provides a simple understanding of the Kondo breakdown. Using the slave-
boson mean-field theory, we show that this model can explain the Kondo breakdown with a single complex parameter. Furthermore, we provide the exact Bethe ansatz solutions that support the results obtained by the slave-
boson mean-field theory.
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Materials Science
Domain wall induced topological Hall effect in the chiral-lattice ferromagnet Fe$_x$TaS$_2$
Sk Jamaluddin, Warit Nisaiyok, Yu Zhang et al. (+13 more)
Magnetic topology and its associated emergent phenomena are central to realizing intriguing
quantum states and spintronics functionalities. Designing
spin textures to achieve strong and distinct electrical responses remains a significant challenge. Layered transition metal dichalcogenides offer a versatile platform for tailoring structural and
magnetic properties, enabling access to a wide spectrum of topological
magnetic states. Here, we report a domain-wall-driven, large, and tunable topological
Hall effect (THE) in a non-centrosymmetric intercalated transition metal dichalcogenides series Fe$_x$TaS$_2$. By systematically varying the Fe intercalation level, we exert precise control over the
magnetic ground states, allowing manipulation of the topological
Hall effect. Real-space
magnetic force microscopy (MFM) provides direct evidence of periodic
magnetic stripe domain formation, confirming the microscopic origin of the observed topological transport phenomena. Our findings establish a promising way for tuning the
topology of domains to generate substantial electromagnetic responses in layered
magnetic materials.
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All authors Sk Jamaluddin, Warit Nisaiyok, Yu Zhang, Hari Bhandari, Brian A. Francisco, Peter E. Siegfried, Fehmi Sami Yasin, Tianyi Wang, Abhijeet Nayak, Mohamed El Gazzah, Resham Babu Regmi, June Ho Yeo, Liuyan Zhao, J. F. Mitchell, Yong-Tao Cui, Nirmal J. Ghimire
Mesoscale and Nanoscale Physics · Cross-listed from quant-ph
Unveiling non-Hermitian band structures with non-Bloch supercells
Jia-Xin Zhong, Jing Lin, Kai Chen et al. (+3 more)
Real-valued band structures are foundational to analyzing periodic systems within the Hermitian description and have been experimentally well-established over recent decades. In contrast, non-Hermitian systems exhibit complex band structures where both energy and momentum have imaginary parts, underpinning phenomena like the non-Hermitian skin effect and anomalous bulk-boundary correspondence that defy conventional Bloch theory. Experimentally mapping these complex bands-relating complex momentum to complex energy-and identifying their associated eigenstates is crucial for understanding these systems but remains a significant challenge. Here, we introduce a non-Bloch supercell framework designed to overcome this challenge by decoupling Bloch phase control from the imaginary part of momentum. Our method combines an exponent-flattening protocol with twisted boundary conditions, enabling system-size-independent control of imaginary momentum while preserving high-resolution Bloch phase sampling. Implemented in programmable one- and two-dimensional acoustic
crystals, our approach acquires momentum-resolved complex energy surfaces and biorthogonal eigenmodes by Green's function measurements.Data obtained using this framework accurately predict open-boundary spectra and eigenstates, findings we verify through separate open-geometry experiments. Our work provides a broadly applicable experimental toolkit for exploring non-Hermitian band geometry and
topology in diverse engineered classical and
quantum platforms.
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All authors Jia-Xin Zhong, Jing Lin, Kai Chen, Jing Lu, Kun Ding, Yun Jing
Mesoscale and Nanoscale Physics
Intrinsic Non-linearity of Josephson Junctions as an Alternative Origin of the Missing First Shapiro Step
Lei Xu, Shuhang Mai, Manzhang Xu et al. (+15 more)
The missing first Shapiro step in microwave-irradiated Josephson junctions has been widely interpreted as a hallmark of Majorana bound states. However, conventional mechanisms like junction underdamping or Joule heating can produce similar signatures. Here, we demonstrate that the intrinsic non-linear current-voltage characteristic of low-to-moderate transparency junctions can also suppress the first step, accompanied by distinctive zigzag boundaries between the zeroth and first step at intermediate driving frequencies. Microwave measurements on Al/WTe2 junctions and numerical simulations of a non-linear resistively and capacitively shunted junction model reveal the first step collapse induced by switching jumps of current, together with zigzag features absent in scenarios solely driven by finite e̱ta} or Joule heating. This zigzag signature therefore provides a crucial diagnostic tool, emphasizing the necessity of comprehensive analysis of microwave spectra before attributing the absence of the first Shapiro step to Majorana physics.
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All authors Lei Xu, Shuhang Mai, Manzhang Xu, Xue Yang, Lihong Hu, Xinyi Zheng, Sicheng Zhou, Siyuan Zhou, Bingbing Tong, Xiaohui Song, Jie Shen, Zhaozheng Lyu, Ziwei Dou, Xiunian Jing, Fanming Qu, Peiling Li, Guangtong Liu, Li Lu
Mesoscale and Nanoscale Physics · Cross-listed from quant-ph
Electronically-controlled one- and two-qubit gates for transmon quasicharge qubits
Nicholas M. Christopher, Deniz E. Stiegemann, Abhijeet Alase et al. (+1 more)
Superconducting protected
qubits aim to achieve sufficiently low error rates so as to allow realization of error-corrected, utility-scale
quantum computers. A recent proposal encodes a protected
qubit in the quasicharge degree of freedom of the conventional transmon device. Operating such a protected `quasicharge
qubit' requires implementing new strategies. Here we show that an electronically-controllable tunnel junction formed by two topological
superconductors can be used to implement single- and two-
qubit gates on quasicharge
qubits. Schemes for both these gates are based on the same dynamical $4\pi$-periodic Josephson effect and therefore have the same gate times and error characteristics. We simulate the dynamics of a topological Josephson junction in a parameter regime with non-negligible charging energy, and characterize the robustness of such gate operations against charge noise. Our results point to a compelling strategy for implementation of quasicharge
qubit gates based on junctions of minimal Kitaev chains of
quantum dots.
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All authors Nicholas M. Christopher, Deniz E. Stiegemann, Abhijeet Alase, Thomas M. Stace
Materials Science
Good Enough is Better: Feasibility vs. Pareto-Optimality in Alloy Design
Cayden Maguire, Christofer Hardcastle, Trevor Hastings et al. (+2 more)
In
alloy design, the search for candidate materials is often framed as an optimization problem, with the goal of identifying Pareto-optimal solutions across multiple objectives. However, Pareto-optimal solutions do not necessarily satisfy all minimum performance thresholds required for practical deployment. An alternative approach is to treat
alloy design as a constraint satisfaction problem, in which the goal is to identify any solution that meets all bare minimum requirements across multiple quantities of interest. These approaches have yet to be benchmarked against each other in the context of realistic
alloy design problems. In this work, we demonstrate that, in realistic
alloy design campaigns involving multiple objectives and constraints, the constraint satisfaction framework yields a higher likelihood of finding viable
alloys than optimization-based approaches. Furthermore, constraint-satisfaction approaches find the first viable
alloy solutions earlier than optimization. Our results suggest that focusing on feasibility rather than optimality can lead to more actionable outcomes in materials discovery, particularly in highly constrained applications.
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All authors Cayden Maguire, Christofer Hardcastle, Trevor Hastings, Raymundo Arróyave, Brent Vela
Mesoscale and Nanoscale Physics
Circuit-based cavity magnonics in the ultrastrong and deep-strong coupling regimes
Takahiro Chiba, Ryunosuke Suzuki, Takashi Otaki et al. (+1 more)
We theoretically study nonperturbative strong-coupling phenomena in cavity magnonics systems in which the uniform magnetization dynamics (
magnons) in a ferromagnet is coupled to the microwave
magnetic field (
photons) of a single LC resonator. Starting from an effective
circuit model that accounts for the magnetization dynamics described by the Landau-Lifshitz-Gilbert equation, we show that a nontrivial frequency shift emerges in the ultrastrong and deep-strong coupling regimes, whose microscopic origin remains elusive within a purely classical framework. The
circuit model is further quantized to derive a minimal
quantum mechanical model for generic cavity magnonics, which corresponds to a two-mode version of the Hopfield
Hamiltonian and explains the mechanism of the frequency shifts found in the classical
circuit model. We also formulate the relation between the frequency shift and
quantum quantities, such as the ground-state particle number,
quantum fluctuations associated with the Heisenberg uncertainty principle, and
entanglement entropy, providing a nondestructive means to experimentally access to these
quantum resources. By utilizing soft
magnons in an anisotropic ferromagnet, we further demonstrate that these
quantum quantities diverge at the zeros of the
magnon band edges as a function of the external
magnetic field. This work paves the way for cavity magnonics beyond the conventional strong coupling regime.
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All authors Takahiro Chiba, Ryunosuke Suzuki, Takashi Otaki, Hiroaki Matsueda
Superconductivity
Fabrication and Structural Analysis of Trilayers for Tantalum Josephson Junctions with Ta$_2$O$_5$ Barriers
Raahul Potluri, Rohin Tangirala, Jiangteng Liu et al. (+6 more)
Tantalum (Ta) has emerged as a promising low-loss material, enabling record coherence times in superconducting
qubits. This enhanced performance is largely attributed to its stable native
oxide, which may host fewer two-level system (TLS) defects, which are the key contributors to decoherence in superconducting
circuits. Nevertheless, aluminum
oxide remains the predominant choice for Josephson junction (JJ) barriers in most
qubit architectures. Here, we investigate techniques for forming high-quality
oxide layers on $\alpha$-phase tantalum films to develop tantalum-
oxide JJ barriers. We explore thermal oxidation in a tube furnace, rapid thermal annealing, and
plasma oxidation of both room-temperature and heated Ta films, characterize the resulting structures using X-ray techniques and electron microscopy, and propose a mechanistic picture of the oxidation pathways. We find that
plasma oxidation provides the smoothest Ta$_2$O$_5$ layers, is compatible with in situ Ta deposition, and offers thickness control through the annealing temperature, advantageous for JJ fabrication. Lastly, we evaluate methods for growing Ta/TaO$_x$/Ta trilayers. All trilayers showed c-axis-oriented columnar growth of the bottom Ta layer, with sapphire substrates producing larger, better-aligned grains yet higher dislocation densities than silicon. Nucleation of c-axis-oriented $\alpha$-Ta on tantalum-
oxide required an Nb seed layer, as direct Ta deposition yielded amorphous Ta. These results demonstrate the feasibility of $\alpha$-Ta/Nb/TaO$_x$/$\alpha$-Ta stacks for JJs with clean interfaces.
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All authors Raahul Potluri, Rohin Tangirala, Jiangteng Liu, Alejandro Barrios, Praveen Kumar, Sage R. Bauers, Peter V. Sushko, David P. Pappas, Serena Eley
Superconductivity
Correlation between magnetism and lattice dynamics for cubic FeGe under pressure
R.A. Tonacatl-Monez, R. Heid and O. De la Peña-Seaman
This first-principles study investigates the structural, electronic,
lattice dynamical properties, and electron-
phonon coupling in
ferromagnetic cubic B20 FeGe under applied pressure. The implemented
spin-scaling exchange-correlation (ssxc) approach allowed to modify the
magnetic moment and
ferromagnetic phase energetics using a single scaling parameter, thereby yielding an adjustment of the critical pressure ($p_c$) to its experimental value. The ssxc scheme resulted in a subtle energy shift of the electronic bands in the
spin-up channel, and reduced the
magnetic moment, bringing it closer to the experimentally reported value. Application of the ssxc approach to
phonon dispersion and electron-
phonon interaction resulted in a slight mitigation of the pronounced softening and large linewidths of the lowest-frequency acoustic branch close to the $R$-point, typically observed with standard DFT calculations. With increasing pressure,
phonon anomaly and linewidths diminish significantly and practically disappear at $p_c$ and beyond. This trend parallels the pressure dependence of the
magnetic moment. A comparative analysis of the electronic joint density of states with the
phonon linewidths revealed that the momentum dependence of linewidths around the $R$-point closely follow the momentum dependence of the electron-
phonon matrix elements. This indicates that the correlation between
magnetic moment and linewidths under applied pressure originates from the electron-
phonon matrix elements, presenting a distinct scenario compared to other B20 family members, where nesting plays a more dominating role.
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