Mesoscale and Nanoscale Physics · Cross-listed from cond-mat.mtrl-sci
Realizing Two-Dimensional Altermagnets with 100% Spin Polarization along the [110] Direction in Ambidentate-Ligand Based Square Organometallic Lattices
Qing-Bo Liu, Xin-Yi Chen, Xiangyang Li et al. (+2 more)
Altermagnetism, as a novel
magnetic paradigm, not only possesses a zero net
magnetic moment, but also exhibits a substantial nonrelativistic
spin-splitting effect. Currently, developing a simple and experimentally feasible method for designing altermagnets is eagerly pursued. Moreover, achieving 100%
spin polarization along certain directions in valence or conduction bands for altermagnets remains challenging. To address these issues, based on a tight-binding model, we propose a viable chemical strategy for constructing organometallic altermagnets by using ambidentate ligands. Furthermore, in these organometallic altermagnets, direction-dependent 100%
spin polarization along the [110] direction in band edges can be induced via the coexistence of altermagnetically
spin-split dispersive and flat bands, where the flat band suppresses electron transport in one
spin channel and the dispersive band enables conduction in the other
spin channel. Then, via first-principles calculations, a screening of 90 two-dimensional ambidentate-ligand based square organometallic
lattices leads to the identification of three altermagnetic materials, namely Fe(taz)2Cl2 (taz = 1,2,4- triazine), Co(app)2Cl2, and Fe(app)2Cl2 (app = 1,4-azaphosphinine), all of which possess 100%
spin polarization along the [110] direction in valence bands, as well as notable piezomagnetic behavior. This study paves the way for achieving direction-dependent fully
spin-polarization in altermagnetic materials.
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All authors Qing-Bo Liu, Xin-Yi Chen, Xiangyang Li, Xingxing Li, Jinlong Yang
Mesoscale and Nanoscale Physics
Nonlocal Josephson coupling and current redistribution in a large-area graphene multiterminal Josephson junction
Luojia Zhang, Kushagra Aggarwal, Jay D. Sau et al. (+4 more)
Multiterminal Josephson junctions (MTJJs) extend conventional two-terminal Josephson physics to devices defined by multiple superconducting phases, where rich phenomena have been predicted. However, in conventional MTJJs, superconducting transport is often dominated by local coupling between neighboring leads, obscuring physics that goes beyond simple connectivity. Here, we realize a multiterminal Josephson network in a
graphene Hall bar geometry with micron-scale dimensions, enabling substantial nonlocal coupling between distant terminals. Our key observation is a pronounced negative differential longitudinal resistance (NDLR) in the four-probe response near switching currents, while no such feature appears in two-terminal measurements. We reproduce the NDLR response with a network containing the interplay between two distinct forms of nonlocality: nonlocal Josephson coupling, which determines the switching sequence of the superconducting network, and nonlocal normal-state conductance, which redistributes current after different regions switch. Our results highlight the potential of the emergent NDLR for characterizing
superconductor–
semiconductor hybrid systems and for nonlinear
circuits. Further, this Josephson Hall bar geometry provides a platform for exploring the interplay between mesoscopic superconductivity and many-body ground states in
graphene-based
heterostructures.
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All authors Luojia Zhang, Kushagra Aggarwal, Jay D. Sau, Ethan G. Arnault, Kenji Watanabe, Takashi Taniguchi, Valla Fatemi
Mesoscale and Nanoscale Physics · Cross-listed from cond-mat.mtrl-sci
The quantum geometry of the chemical bond
Gabrielle Carrel, Nishchhal Verma, Fatmagül Katmer et al. (+2 more)
Electronic properties of materials depend both on band energies and
quantum geometry of electronic states. We relate bonding indices to the
quantum geometric tensor (QGT), showing how chemical bonding dictates the momentum-space texture of bands, bridging chemical and physical descriptions of solids. We show the QGT decomposed into the three center bond index, weighted by their oriented area. Resolving these contributions by orbital pair reveals the donor–acceptor character that distinguish ionic, covalent, hypervalent, and metavalent bonding. We identify the bonding pattern for
topology in materials: noncollinear three center bonds, which are the source of Berry
curvature in solids. Bond fluctuation can be directly linked to electromagnetic response by resolving their energy spectrum, opening a quantitative route towards the design of physical properties of materials from bonding motifs.
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All authors Gabrielle Carrel, Nishchhal Verma, Fatmagül Katmer, Leslie M. Schoop, Raquel Queiroz
Mesoscale and Nanoscale Physics
Electron binding by charge disorder surrounding gapped bilayer graphene
Jude McClay, Angelika Knothe, Igor Rozhansky et al. (+1 more)
Bilayer
graphene (BLG) is a unique electronic material offering electrostatic tunability of its band gap. Here, we study how charge disorder in the dielectric environment modifies band-edge states by binding electrons and holes to Coulomb centres, taking into account the in- and out-of-plane dielectric response of Bernal bilayers. We apply this framework to (a) hBN-encapsulated medium-size-gap BLG used for gate-defined
quantum dots, and (b) BLG under double n/p ionic gating. In hBN/BLG/hBN, we find that single remote charges produce only weakly bound states, with binding energies generally small compared with the BLG gap. Under ionic gating, we find that the bound states are too large to be trapped by individual ions – localisation arises from fluctuations in the ion density, whose magnitude is limited by Coulomb charging energy at the freezing temperature $T_f$ of the ionic configuration. Thus, in both regimes, charge disorder does not produce deep midgap states, with the bound states remaining closer to the conduction and valence band edges.
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All authors Jude McClay, Angelika Knothe, Igor Rozhansky, Vladimir Fal'ko
Mesoscale and Nanoscale Physics
Entropy Production in Mesoscopic Electronic Transport Beyond Weak-Coupling
Ivana R. A. C. Lucena, Caio H. Lewenkopf and Alexandre R. Rocha
We investigate the full statistics of
entropy production in coherent mesoscopic conductors beyond the weak-coupling regime. Using the inside-outside perspective and the Landauer-Büttiker scattering framework, we relate
entropy production to the full counting statistics of particle transport and show that the corresponding cumulant-generating function satisfies the fluctuation
symmetry independently of the coupling strength. We obtain closed analytical expressions for the cumulant-generating function in the weak- and strong-coupling limits, enabling a detailed characterization of
entropy production distributions and higher-order cumulants. These cumulants reveal distinct signatures of resonant transport and coherent fermionic partitioning. While coupling-induced broadening substantially modifies the transport statistics, the fluctuation
symmetry imposed by microscopic reversibility remains preserved in the long-time limit.
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Mesoscale and Nanoscale Physics · Cross-listed from cond-mat.str-el
Search for free non-Abelian anyons in paired composite-fermion states
Mytraya Gattu and J. K. Jain
The even-denominator fractional
quantum Hall (FQH) states, understood as topological
superconductors of composite
fermions, are predicted to support elementary quasiparticles (QPs) or quasiholes (QHs) obeying non-Abelian braid statistics. Using the microscopic framework of parton theory, we investigate many experimentally observed paired composite-
fermion states and find that their elementary QPs and QHs in general bind to form Abelian molecules, thus obscuring non-Abelian braid statistics. An exception is the $\nu=1/2$ state in wide
quantum wells, where our calculations show free QPs or QHs; we thus identify this state as an especially promising candidate for realizing and studying non-Abelian braid statistics. We also indicate how the study of such bound states can help reveal the topological structure of the state.
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Mesoscale and Nanoscale Physics
Frustrated Topological Orbital Magnetism
Sergio Garrido Bourkhaeva, Claudio Castelnovo and Wojciech J. Jankowski
By studying the interplay of
geometric frustration with Aharonov-Bohm fluxes in three dimensions, we unveil a rich playground exhibiting topological semimetallic ground states with orbital
magnetic dipole, quadrupole and ferrotoroidic orders, akin to
spin patterns in classical
spin ices - a class of phenomena which we dub frustrated topological orbital magnetism. We demonstrate that the ground-state toroidizations underpinned by non-Abelian topological nodal lines induce measurable current-induced Hall phenomena. We further find that distinct 2-in-2-out and 3-in-1-out frustrated orbital current patterns can be associated with topological Weyl node charges, and corresponding anisotropic linear and nonlinear Hall effects. We propose signatures for experimental validation of distinct frustrated topological orbital
magnetic orders in candidate materials.
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Mesoscale and Nanoscale Physics · Cross-listed from cond-mat.quant-gas
Flat-band quantum geometry from embedded quench dynamics
Ilia Komissarov, Daniel E. Sheehy and Ahana Chakraborty
Quantum geometry underlies a wide range of correlated phenomena in electronic systems, yet accessing the geometry of individual bands remains experimentally challenging. Advances in
quantum simulators, such as ultracold atoms in optical
lattices, have enabled local state preparation and site-resolved measurements, offering direct access to
quantum dynamics beyond conventional transport probes. These developments naturally raise the question of whether band-resolved
quantum geometry can be extracted from local occupation readouts. Here, we propose an on-site quench protocol to probe the flat-band
quantum geometry via local occupation measurements in an atomic
lattice. Our scheme dynamically isolates the flat-band sector by coupling a one-dimensional flat-band
lattice to a two-dimensional flat-band bath. The bath selectively removes dispersive excitations, while compact localized states remain trapped due to their overlap with the flat-band modes of the bath. We show that the late-time occupation pattern directly encodes the integrated overlaps between flat-band states separated by the wavevector of the initial density pattern, thereby enabling access to integrated
quantum distances between the states separated by the commensurate momenta $\delta k = 2 \pi s/r$, $s,r \in \mathbb Z$ and to the integrated flat-band
quantum metric. Our results thereby establish a direct connection between
quantum geometry and the long-time
memory of an initial spatial pattern in flat-band systems.
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Mesoscale and Nanoscale Physics
Accessing electronic entanglement via photo-assisted two-electron tomography
M. Paulet, G. Rebora, M. Bienioszek et al. (+4 more)
Witnessing
entanglement between electrons propagating in
quantum circuits requires accessing their two-electron coherences, which encode the two-particle
quantum correlations generated by Coulomb interactions. Yet, experimental reconstruction of two-electron coherence remains a major challenge. We introduce photo-assisted two-electron
tomography, a
quantum coherence reconstruction protocol from dc-currents and time-averaged current correlations, routinely measured in electron
quantum optics experiments. Driving an energy filter with a small rf tone encodes off-diagonal coherences in the frequency domain into the dc-current response, enabling single-electron
tomography without resorting to current-noise measurements. Extending it to two channels, current correlations after two photo-assisted filters reconstruct the two-electron Wigner distribution and isolate its irreducible two-body part. When applied to Coulomb-coupled
quantum Hall edge channels, the protocol reveals interaction-induced energy
entanglement. Signatures of this
entanglement are visible through the violation of an
entanglement witness based on Cauchy-Schwarz inequalities, as well as Wigner function negativities, which remain resolved above the thermal background for realistic device parameters. A generalized Franson geometry further extends the approach to intra-channel two-electron coherences. This opens a direct pathway to detect and characterize electronic
entanglement in ballistic
quantum circuits.
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All authors M. Paulet, G. Rebora, M. Bienioszek, G. Ménard, G. Fève, A. Feller, P. Degiovanni
Mesoscale and Nanoscale Physics
Measurement-induced enhancement of the $X$-parity lifetime in a Majorana tetron
Katharina Laubscher, Jay D. Sau and Sankar Das Sarma
A recent experiment [arXiv:2507.08795] has reported measurements of the interwire $X$-parity lifetime in a Majorana tetron device via the
quantum capacitance of an auxiliary readout dot. Motivated by these measurements, we theoretically study the interwire parity lifetime in a minimal model of the coupled dot-tetron system subject to electrostatic noise. We show that coupling to the measurement dot can itself strongly modify the parity dynamics by generating an energy splitting that shifts noise-induced transitions to finite frequency and thereby stabilizes the measured states against low-frequency fluctuations. For representative noise strengths motivated by disordered nanowire devices, we find $X$-parity switching lifetimes of order microseconds in the measurement configuration even when the corresponding bare-tetron coherence time is only tens of nanoseconds long. We analyze both the dispersive regime, where the dot can be integrated out and the dynamics reduces to an effective two-level system, and the near-resonant regime, where all four low-energy states participate. In the latter case, rapid transitions organize the spectrum into two long-lived
manifolds that approximately correspond to sectors of the combined dot-tetron $X$-loop parity, yielding effective two-state switching despite the underlying multilevel structure. Our results show that measurement-induced stabilization can substantially enhance the observed $X$-parity switching lifetime, such that the lifetime measured under continuous readout can greatly exceed the intrinsic idle $T_2^*$ coherence time of the isolated Majorana tetron
qubit.
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Mesoscale and Nanoscale Physics · Cross-listed from cond-mat.str-el
Dynamical many-body control of high harmonic generation in a Mott insulator
Mingyao Guo, Ryo Noguchi, Mohammad Muntasir Hassan et al. (+7 more)
High harmonic generation (HHG) has emerged as a powerful probe of ultrafast electron dynamics in solids. However, in strongly correlated materials, where electronic excitations arise from many-body interactions rather than single-particle band dispersion, the field remains in its infancy. Here, we report HHG up to the 23$^{rd}$ order in the prototypical Mott
insulator La$_2$CuO$_4$. We observe a robust 4 eV cutoff that is independent of driving field strength, revealing an intrinsic energy scale defined by the Hubbard bands. Using time-resolved high harmonic spectroscopy, we disentangle the distinct contributions of carrier creation, intraband acceleration, and interband recombination to the nonequilibrium radiation spectrum. We demonstrate that photo-doping triggers a fundamental reorganization of the many-body
manifolds above a critical excitation density, a process that renormalizes the band
curvature and suppresses nonlinear intraband currents, thereby directly imprinting the signature of many-body band reconstruction onto the harmonic emission. These results establish HHG as a sensitive probe of subtle correlation-driven electronic reconstructions and highlight that many-body interactions enable extreme nonlinear optical responses that are highly tunable in nonequilibrium states.
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All authors Mingyao Guo, Ryo Noguchi, Mohammad Muntasir Hassan, Steven J. Gomez Alvarado, Reina M. Gomez, Yao-Jui Chan, Yu-Chieh Wen, Stephen D. Wilson, Yao Wang, David Hsieh
Mesoscale and Nanoscale Physics
Symmetry-Dependent Polarity Reversal of Bulk Spin-Orbit Torque in Single-Layer MnCoGa
Rongkun Han, Mingsong Zhang, Dahai Wei et al. (+3 more)
Controlling the magnitude and polarity of
spin-orbit torque (SOT) is essential for manipulating magnetization in spintronic devices. Here, we realize bulk
spin-orbit torque (SOT) in a single-layer Mn1.6Co1.4Ga (MCG) Heusler
alloy and achieve
lattice strain-controlled reversal of SOT polarity. SOT-driven magnetization switching is achieved over a thickness range of 3-20 nm, with the switching polarity reversed between the strongly strained ultrathin regime and thicker films. First-principles calculations reveal a sizable intrinsic
spin Hall conductivity (SHC) in MCG originating from its topological band structure, which is enhanced by the tetragonal distortion without changing sign. Together with the thickness-dependent structural
evolution, we demonstrate that the reversal of SOT polarity does not originate from a sign change of the SHC, but rather from
lattice distortion induced
symmetry breaking that modifies the conversion of
spin current into a net bulk SOT, thereby controlling its polarity. These results establish strain-controlled structural
symmetry as an additional degree of freedom for tuning bulk SOT in
magnetic single layers.
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All authors Rongkun Han, Mingsong Zhang, Dahai Wei, Yuan Lu, Wenxu Zhang, Jianhua Zhao
Mesoscale and Nanoscale Physics
Field-Free Reconfigurable Spin Logic in Compositionally Graded MnxCoAl Layer
Haohang Cheng, Pengju Wang, Hongrui Qin et al. (+4 more)
Spintronic logic-in-
memory provides a route to reducing data-transfer energy consumption and accelerating computation by integrating nonvolatile storage and logic functions within a single physical unit. Here, we investigate field-free
spin-orbit-torque (SOT) switching and reconfigurable
spin logic in a vertically composition-graded MnxCoAl/Pt
heterostructure. In contrast to the uniform-composition Mn1.8CoAl/Pt and Mn2.5CoAl/Pt control devices, the Mn1.8-2.5CoAl gradient device exhibits deterministic SOT switching under zero external
magnetic field. Dzyaloshinskii-Moriya interaction (DMI)-related measurements reveal a finite characteristic effective-field scale, indicating the involvement of chiral magnetization-reversal processes. Meanwhile, the vertical composition gradient introduces
magnetic inhomogeneity that can modify domain nucleation and propagation, and the combined effects are consistent with the observed field-free switching behavior. The composition-gradient device further exhibits accumulative multistate switching with stable intermediate Hall-resistance states under zero
magnetic field, whereas the uniform-composition controls do not show comparable stable multistate behavior. By tailoring the amplitude, polarity, and sequence of current pulses, the device can be tuned between binary and multilevel switching modes, enabling the experimental realization of AND, OR, NAND, and NOR Boolean operations within the same Hall-bar device without any external
magnetic field. These results extend Mn-Co-Al Heusler
heterostructures from field-assisted SOT switching toward field-free magnetization control, multistate operation, and reconfigurable
spin logic through vertical composition engineering.
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All authors Haohang Cheng, Pengju Wang, Hongrui Qin, Rongkun Han, Dong Pan, Dahai Wei, Jianhua Zhao
Mesoscale and Nanoscale Physics
Magnon dynamics driven by the symplectic quantum metric in a chiral soliton lattice
Sidhartha Chatterjee, Andreas Haller, Peter P. Orth et al. (+1 more)
We investigate the effects of
quantum geometry on the motion of
magnon wave packets in one-dimensional
quantum spin chains. In contrast to fermionic systems, where transport phenomena driven by the
quantum metric have been extensively studied, we show that the dynamics in bosonic
magnon systems are strongly affected by the symplectic structure and the pseudo-unitarity of the transformation of the
magnon Bogoliubov-de Gennes
Hamiltonian. A chiral
soliton lattice provides a setting in which the symplectic
quantum metric strongly influences the longitudinal
magnon dynamics. We derive the semiclassical response of a
magnon wave packet in such a system to a weak, slowly varying perturbation and demonstrate that the wave packet velocity acquires a
geometric contribution proportional to the momentum derivative of the symplectic
quantum metric, which dominates over the conventional group velocity for a nearly flat band. Solving the resulting equations of motion, we obtain a bounded trajectory in real time with a phase-space area determined by the symplectic
quantum metric.
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All authors Sidhartha Chatterjee, Andreas Haller, Peter P. Orth, Thomas L. Schmidt
Mesoscale and Nanoscale Physics
Tunable Ultrastrong Magnon-Magnon Coupling and Squeezed States in a Triaxial Van der Waals Antiferromagnet
Xiao Xiao, Zishuang Li, Zui Tao et al. (+6 more)
Achieving and quantifying ultrastrong
magnon-
magnon coupling (USC) remains a key challenge for
quantum magnonics. Here, we demonstrate widely tunable USC between chiral (right- and left-handed) and acoustic or optical
magnon modes in the van der Waals antiferromagnet $CrPS_4$. Using a full
quantum model, we decompose the interaction into three microscopic interaction channels: the co-rotating term $g_1$ (mode hybridization), the counter-rotating term $g_2$ (two-mode squeezing), and, uniquely in the chiral regime, the self-squared term $g_3$ that mediates single-mode squeezing. The normalized coupling ratio reaches $g/f_g$ $\sim$ 0.41, entering the USC regime. Most significantly, we establish a complete protocol linking these USC parameters to a measurable
quantum phenomenon: a squeezed
magnon vacuum state. Our simulations not only visualize the chirality and polarization
evolution of the hybrid modes but also demonstrate how to directly extract quadrature fluctuations and a substantial squeezing factor (up to $\sim$ 9.7 dB) from thermal noise-driven magnetization dynamics. This work provides a material-specific
quantum framework for USC and a practical pathway to detect and exploit non-classical
magnon states in low-damping two-dimensional magnets, opening a route toward
quantum-enhanced spintronics and hybrid
quantum information platforms.
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All authors Xiao Xiao, Zishuang Li, Zui Tao, Lina Chen, Ping Liu, Shuai Zhang, Haozhe Wang, Yong Pu, Ronghua Liu
Mesoscale and Nanoscale Physics · Cross-listed from cond-mat.soft
Laser fragmentation in liquid - constructing a generic reaction map
Anton Plech, Yogesh Pokhrel, Meike Tack et al. (+2 more)
Excitation of absorbing colloids in
liquid by pulsed
laser irradiation creates highly non-
equilibrium states of matter that relax via defined pathways of thermal and non-thermal dissipation channels. The structural fingerprint of these channels can be probed by ultrafast in situ x-ray scattering methods and classified as a function of temporal delay of excitation excitation density, or specifically
laser fluence. We study the example of photo-excitation of a gold colloid by picosecond
laser pulses at the interband absorption band at 400 nm in water. By quantifying
lattice temperature, crystalline fraction, particle sizes and the structural response of the water around the nanoparticles a reaction map is constructed that allows to pinpoint heating, particle melting, water bubble formation and finally particle fragmentation to form nanoclusters of predominant sizes of < 3 nm for applications in theranostics, photonics or catalysis.
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All authors Anton Plech, Yogesh Pokhrel, Meike Tack, Matteo Levantino, Sven Reichenberger
Mesoscale and Nanoscale Physics
Magnonic cavity-enhanced quantum magnetometry with nitrogen-vacancy centre ensembles
Nikhil Kumar
Nitrogen-vacancy (NV) centre ensembles are leading room-temperature magnetometers, but their sensitivity is usually extracted from a single resonance and relies on external microwave and bias-field hardware. This work proposes a chip-scale NV magnetometer built around a one-dimensional YIG/CoFeB magnonic
crystal, in which a single structural defect forms a passive magnonic cavity and integrated permanent magnets supply the bias field. Micromagnetic simulations show a defect-localised
spin-wave mode at 2.910 GHz inside the 2.5-3.0 GHz magnonic band gap, 40 MHz from the NV zero-field splitting, with a band structure that matches an independent plane-wave calculation. A Tavis-Cummings/Lindblad model in which the microwave reaches the NV ensemble through this mode predicts a hyperfine-resolved optically detected
magnetic resonance spectrum that is strong only within the mode linewidth, and a dispersive homodyne response with one steep edge per $^{14}$N hyperfine line. The master-equation solutions agree with the closed-form homodyne steady state ($R^2 > 0.9999$) and with an approximate analytic ODMR theory (peak positions within 0.012 MHz). For a critically coupled readout with room-temperature electronics, combining the three edges gives a projected sensitivity of 93 pT/$\sqrt{\rm Hz}$, a $\sqrt{3}$-fold gain over the best single edge. Mapping the sensitivity against the NV-
magnon coupling reveals an optimum near $g_{\rm ens}/2\pi \approx 0.2$-$0.4$ MHz, where it reaches 72 pT/$\sqrt{\rm Hz}$ for a 0.64 MHz
spin linewidth and 19 pT/$\sqrt{\rm Hz}$ for 0.17 MHz, with thermal limits of 6.6 and 1.7 pT/$\sqrt{\rm Hz}$. The
antenna-mode coupling, the NV-
magnon coupling and the
spin linewidth are therefore the main design levers.
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Mesoscale and Nanoscale Physics
Displacement-Field-Induced Ionization of Defect States in High-Quality hBN
Ilia Begichev, Daria Belotcerkovtceva, Iakov Reznikov et al. (+10 more)
Encapsulation of two-dimensional (2D) materials with hexagonal boron nitride (hBN) is widely used to fabricate ultraclean van der Waals (vdW)
heterostructures for optoelectronic and
quantum transport studies. These devices are often operated under strong out-of-plane displacement fields that tune the electronic properties of the active 2D material, while the surrounding hBN is typically assumed to remain electronically inert. This assumption, however, neglects defect states that are present even in high-quality hBN
crystals. Here, we probe their response to the applied displacement field using monolayer
graphene encapsulated between hBN
crystals as a sensitive charge sensor. Increasing the displacement field induces notable charge transfer between
graphene and hBN, producing additional electron doping of 10-20x10^9 cm^(-2) even at the moderate displacement field (~0.5 V nm^(-1)), while simultaneously increasing carrier-density inhomogeneity of the
graphene layer. Both effects are consistent with ionization of defect states within the hBN bandgap, with the bulk density ~1-7x10^(-5) nm^(-3) varying across different hBN
crystals. Our results show that displacement-field-induced defect ionization in hBN can modify the electronic response of vdW
heterostructures, with direct implications for device design and interpretation of experiments.
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All authors Ilia Begichev, Daria Belotcerkovtceva, Iakov Reznikov, Sergey Slizovsky, Weijie Lu, Nansi Zhou, Ian Babich, Makars Siskins, Kostya S. Novoselov, Vladimir I. Falko, Kenji Watanabe, Takashi Taniguchi, Alexey I. Berdyugin
Mesoscale and Nanoscale Physics
Enhancement of the Topological Hall Effect through Engineering the Skyrmion Size and Shape
Kazuma Murata, Ryunosuke Terasawa and Hiroaki Ishizuka
The topological Hall effect of skyrmions is a promising electrical probe of
magnetic textures, but its small magnitude limits applications. In this work, we theoretically investigate the topological Hall effect induced by sparsely distributed skyrmions in the weak-coupling limit, focusing on how the size and shape of the skyrmion affect the Hall effect. To this end, we used a formalism based on angular-momentum eigenstates, which enables systematic analysis within reasonable computation time. We found that, in clean materials where the electron mean-free path is comparable to or larger than the skyrmion size, the Hall effect depends considerably on the size and shape of the skyrmion. In particular, the Hall effect is largest when $k_F\lambda\sim 1$, and its magnitude can be tuned by the domain-wall width of skyrmions. These findings provide a basis for investigating how the shape and size of skyrmions affect transport properties and demonstrate that the topological Hall effect is controllable by engineering these properties.
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