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A numerical analysis is made of the breakdown of the quantum Hall effect caused by the Hall electric field in competition with disorder. It turns out that in the regime of dense impurities, in particular, the number of localized states…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Shizuya

We report on a theoretical study of the spin Hall Effect (SHE) and weak antilocal-ization (WAL) in graphene/transition metal dichalcogenide (TMDC) heterostructures, computed through efficient real-space quantum transport methods, and using…

Mesoscale and Nanoscale Physics · Physics 2017-09-08 Jose H. Garcia , Aron W. Cummings , Stephan Roche

Based on the scalar-tensor-vector modified gravitational theory, a modified gravity Schwarzschild black hole solution has been given in the existing literature. Such a black hole spacetime is obtained through the inclusion of a modified…

General Relativity and Quantum Cosmology · Physics 2022-06-10 Daqi Yang , Wenfu Cao , Naying Zhou , Hongxing Zhang , Wenfang Liu , Xin Wu

Exploring new Hall effect is always a fascinating research topic. The ordinary Hall effect and the quantum Hall effect, initially discovered in two-dimensional (2D) non-magnetic systems, are the phenomena that a transverse current is…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 Chaoxi Cui , Run-Wu Zhang , Yilin Han , Zhi-Ming Yu , Yugui Yao

The quantum Hall effect, which exhibits a number of unusual properties, is studied in a gated 1000-nm-thick HgTe film, nominally a three-dimensional system. A weak zero plateau of Hall resistance, accompanied by a relatively small value of…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 M. L. Savchenko , D. A. Kozlov , S. S. Krishtopenko , N. N. Mikhailov , Z. D. Kvon , A. Pimenov , D. Weiss

We theoretically investigate an extrinsic spin Hall effect (SHE) in semiconductor heterostructures due to the scattering by an artificial potential created by antidot, STM tip, etc. The potential is electrically tunable. First, we formulate…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Mikio Eto , Tomohiro Yokoyama

Superconducting quantum processors are a compelling platform for analog quantum simulation due to the precision control, fast operation, and site-resolved readout inherent to the hardware. Arrays of coupled superconducting qubits natively…

The quantum anomalous Hall effect (QAHE) is a quantum phenomenon in which a two-dimensional system exhibits a quantized Hall resistance $h/e^2$ in the absence of magnetic field, where $h$ is the Planck constant and $e$ is the electron…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Zhi-Qiang Zhang , Yu-Hang Li , Ming Lu , Hongfang Liu , Hailong Li , Hua Jiang , X. C. Xie

The quantum Hall effect (QHE) is theoretically understood as a superfluid condensate of composite bosons (CBs) -- bound states of electrons and magnetic flux quanta. While dissipationless transport is consistent with this picture, other…

Mesoscale and Nanoscale Physics · Physics 2026-03-06 Yuanze Li , Renfei Wang , Jiahao Chen , Wenfeng Zhang , Adbhut Gupta , Kirk W. Baldwin , Loren Pfeiffer , Rui-Rui Du , Yang Liu , Tian Liang

We discuss a number of basic physical mechanisms relevant to the formation of the proximity effect in superconductor/normal metal (SN) systems. Specifically, we review why the proximity effect sharply discriminates between systems with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. Taras-Semchuk , Alexander Altland

We consider a particle system with a mean-field-type interaction perturbed by some common and individual noises. When the interacting kernels are sublinear and only locally Lipschitz-continuous, relying on arguments based on the tightness…

Probability · Mathematics 2020-07-27 Angelo Rosello

We explore the dynamics of entanglement in classically chaotic systems by considering a multiqubit system that behaves collectively as a spin system obeying the dynamics of the quantum kicked top. In the classical limit, the kicked top…

Quantum Physics · Physics 2009-11-10 Xiaoguang Wang , Shohini Ghose , Barry C Sanders , Bambi Hu

The survival probability of an initial Coherent Gibbs State (CGS) is a natural extension of the Spectral Form Factor (SFF) to open quantum systems. To quantify the interplay between quantum chaos and decoherence away from the semi-classical…

Quantum Physics · Physics 2024-08-28 Apollonas S. Matsoukas-Roubeas , Tomaž Prosen , Adolfo del Campo

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

In a two-mode approximation, Bose-Einstein condensates (BEC) in a double-well potential can be described by a many particle Hamiltonian of Bose-Hubbard type. We focus on such a BEC whose interatomic interaction strength is modulated…

Quantum Physics · Physics 2011-12-20 M P Strzys , E M Graefe , H J Korsch

The quantum resonances (QRs) of the kicked particle are studied in a most general framework by also considering {\em arbitrary} periodic kicking potentials. It is shown that QR can arise, in general, for {\em any rational} value of the…

Chaotic Dynamics · Physics 2007-05-23 Itzhack Dana , Dmitry L. Dorofeev

The results of systematic experimental studies of quantum oscillations of resistivity, Hall coefficient and capacitance in GaAs and In$_x$Ga$_{1-x}$As quantum wells (QWs) with a simple electron spectrum and HgTe QWs with a complicated…

Mesoscale and Nanoscale Physics · Physics 2023-08-11 G. M. Minkov , O. E. Rut , A. A. Sherstobitov , S. A. Dvoretski , N. N. Mikhailov , A. V. Germanenko

We report on theoretical and experimental investigations of the integer quantized Hall effect in narrow channels at various mobilities. The Hall bars are defined electrostatically in two-dimensional electron systems by biasing metal gates…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Horas , A. Siddiki , J. Moser , W. Wegscheider , S. Ludwig

We consider the Hall effect in a system of weakly coupled one-dimensional chains with Luttinger interaction within each chain. We construct a perturbation theory in the inter-chain hopping term and find that there is a power law dependence…

Strongly Correlated Electrons · Physics 2009-10-30 Lopatin , A. V

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang