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The fractional quantum Hall effect (FQHE) of topological surface-state particles under a tilted strong magnetic field is theoretically studied by using the exact diagonalization method. The Haldane's pseudopotentials for the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Fawei Zheng , Zhigang Wang , Zhen-Guo Fu , Ping Zhang

We present results of numerical studies of spin quantum Hall transitions in disordered superconductors, in which the pairing order parameter breaks time-reversal symmetry. We focus mainly on p-wave superconductors in which one of the spin…

Superconductivity · Physics 2009-11-10 Qinghong Cui , Xin Wan , Kun Yang

The quantum spin Hall (QSH) effect, characterized by topologically protected spin-polarized edge states, was recently demonstrated in monolayers of the transition metal dichalcogenide (TMD) WTe$_2$. However, the robustness of this…

Mesoscale and Nanoscale Physics · Physics 2024-05-07 Felix Lüpke , Dacen Waters , Anh D. Pham , Jiaqiang Yan , David G. Mandrus , Panchapakesan Ganesh , Benjamin M. Hunt

Constricting transport through a one-dimensional quantum point contact in the quantum Hall regime enables gate-tunable selection of the edge modes propagating between voltage probe electrodes. Here we investigate the quantum Hall effect in…

Mesoscale and Nanoscale Physics · Physics 2025-10-15 Karina Hudson , Davide Costa , Davide Degli Esposti , Lucas E. A. Stehouwer , Giordano Scappucci

In condensed matter physics, the study of electronic states with SU(N) symmetry has attracted considerable and growing attention in recent years, as systems with such a symmetry can often have a spontaneous symmetry-breaking effect giving…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. P. Guo , Y. J. Zhao , T. Tu , X. J. Hao , X. C. Zhang , G. C. Guo , H. W. Jiang

The fractional quantum Hall effect has been considered as a puzzling quantum many-body phenomenon that has yet to be fully explained. The plateau width and excitation energy gap are particularly problematic. We report here that those two…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Jongbae Hong

The celebrated phenomenon of quantum Hall effect has recently been generalized from transport of conserved charges to that of other approximately conserved state variables, including spin and valley, which are characterized by spin- or…

Layered singlet paired superconductors with disorder and broken time reversal symmetry are studied. The phase diagram demonstrates charge-spin separation in transport. In terms of the average intergrain transmission and the interlayer…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. Kagalovsky , B. Horovitz , Y. Avishai

We report a magnetotransport study of the termination of the spin-resolved integer quantum Hall effect by controlled disorder in a gated GaAs/AlGaAs heterostructure. We have found that, for a given N^{th} Landau level, the difference in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 L. W. Wong , H. W. Jiang , E. Palm , W. J. Schaff

Two-dimensional Chern insulators have emerged as crucial platforms for the realization of the quantum anomalous Hall effect, and as such have attracted significant interest in spintronics and topological quantum physics due to their unique…

Mesoscale and Nanoscale Physics · Physics 2026-02-24 Panjun Feng , Miao Gao , Xun-Wang Yan , Fengjie Ma

The quantum spin Hall (QSH) state, observed in a zero magnetic field in HgTe quantum wells, respects the time-reversal symmetry and is distinct from quantum Hall (QH) states. We show that the QSH state persists in strong quantizing fields…

Mesoscale and Nanoscale Physics · Physics 2010-04-23 G. Tkachov , E. M. Hankiewicz

The fractional quantum Hall effect (FQHE) is extensively studied, but the explanation for Hall plateau widths and excitation energy gaps remains elusive. We study the effective theory of FQHE built upon experimental inputs of Hall current…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Jongbae Hong , Soo-Jong Rey

The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Recently, a new class of topological insulators has been proposed. These topological insulators have an insulating gap in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Markus Koenig , Hartmut Buhmann , Laurens W. Molenkamp , Taylor L. Hughes , Chao-Xing Liu , Xiao-Liang Qi , Shou-Cheng Zhang

Monolayer (ML) transition metal dichalcogenides (TMDs) have been attracting great research attentions lately for their extraordinary properties, in particular the exotic spin-valley coupled electronic structures that promise future…

We report on a systematic study of Hall effect using high quality single crystals of type-II Weyl semimetal WTe2 with the applied magnetic field B//c. The residual resistivity ratio of 1330 and the large magnetoresistance of 1.5\times10^6 %…

Materials Science · Physics 2017-10-03 Rajveer Jha , Ryuji Higashinaka , Tatsuma D. Matsuda , Raquel A. Ribeiro , Yuji Aoki

It is known experimentally that at not very large filling factors $\nu$ the quantum Hall conductivity peaks corresponding to the same Landau level number $N$ and two different spin orientations are well separated. These peaks occur at…

Condensed Matter · Physics 2009-10-28 M. M. Fogler , B. I. Shklovskii

Recent works aiming at understanding magnetotransport phenomena in ferromagnetic III-V and II-VI semiconductors are described. Theory of the anomalous Hall effect in p-type magnetic semiconductors is discussed, and the relative role of…

Materials Science · Physics 2007-05-23 Tomasz Dietl , Fumihiro Matsukura , Hideo Ohno , Joel Cibert , David Ferrand

The fractional quantum Hall effect (FQHE) is theoretically investigated, with numerical and algebraic approaches, in assemblies of a few spinful ultracold neutral fermionic atoms, interacting via repulsive contact potentials and confined in…

Quantum Gases · Physics 2020-10-20 Constantine Yannouleas , Uzi Landman

A systematic study of the energetics of electrons in an interface in a magnetic field is reported with exact analytical calculations based on a Landau Level (LL) picture, by serious consideration of the finite thickness of the Quantum Well…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Georgios Konstantinou , Konstantinos Moulopoulos

We show how the quantum Hall effect in an inverted-gap semiconductor (with electron- and hole-like states at the conduction- and valence-band edges interchanged) can be used to inject, precess, and detect the electron spin along a…

Mesoscale and Nanoscale Physics · Physics 2009-11-24 A. R. Akhmerov , C. W. Groth , J. Tworzydlo , C. W. J. Beenakker