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We analyze a quantum spin Hall (QSH) device with a point contact connecting two of its edges. The contact supports a net spin tunneling current that can be probed experimentally via a two-terminal resistance measurement. We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Anders Ström , Henrik Johannesson

We investigate possible phase transitions among the different quantum anomalous Hall (QAH) phases in a zigzag graphene ribbon under the influence of the exchange field. The effective tight-binding Hamiltonian for graphene is made up of the…

Mesoscale and Nanoscale Physics · Physics 2012-10-22 Tsung-Wei Chen , Zhi-Ren Xiao , Dah-Wei Chiou , Guang-Yu Guo

We examine the effects of electron-electron interactions on transport between edge states in a multilayer integer quantum Hall system. The edge states of such a system, coupled by interlayer tunneling, form a two-dimensional, chiral metal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. W. Tomlinson , J. -S. Caux , J. T. Chalker

Recent experiments in the integer quantum Hall regime seem to find direct transitions from a quantum Hall state with Hall conductance $\sigma_{xy} = n e^2/h $ with integer $n > 1$, to an insulating state in weak magnetic fields. We study…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Xin Wan , R. N. Bhatt

Reentrant integer quantum Hall (RIQH) states are believed to be correlated electron solid phases, though their microscopic description remains unclear. As bias current increases, longitudinal and Hall resistivities measured for these states…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Alexander V. Rossokhaty , Yuval Baum , Joshua A. Folk , John D. Watson , Geoffrey C. Gardner , Michael J. Manfra

We consider a fractional quantum Hall bilayer system with an interface between quantum Hall states of filling fractions $(\nu_{\text{top}},\nu_{\text{bottom}})=(1,1)$ and $(1/3,2)$, motivated by a recent approach to engineering artificial…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Jukka I. Väyrynen , Moshe Goldstein , Yuval Gefen

The quantum Hall (QH) effect supports a set of chiral edge states at the boundary of a 2-dimensional electron gas (2DEG) system. A superconductor (SC) contacting these states induces correlation of the quasi-particles in the dissipationless…

Mesoscale and Nanoscale Physics · Physics 2017-05-12 Gil-Ho Lee , Ko-Fan Huang , Dmitri K. Efetov , Di S. Wei , Sean Hart , Takashi Taniguchi , Kenji Watanabe , Amir Yacoby , Philip Kim

A novel topological insulator with tunable edge states, called quantum spin-quantum anomalous Hall (QSQAH) insulator, is predicted in a heterostructure of a hydrogenated Sb (SbH) monolayer on a LaFeO3 substrate by using ab initio methods.…

Materials Science · Physics 2018-01-10 Tong Zhou , Jiayong Zhang , Yang Xue , Bao Zhao , Huisheng Zhang , Hua Jiang , Zhongqin Yang

Strongly interacting electrons in a topologically non trivial band may form exotic phases of matter. An especially intriguing example of which is the fractional quantum anomalous Hall phase, recently discovered in twisted transition metal…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Gal Shavit

The quantum-Hall-effect (QHE) occurs in topologically-ordered states of two-dimensional (2d) electron-systems in which an insulating bulk-state coexists with protected 1d conducting edge-states. Owing to a unique topologically imposed…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 Guohong Li , Adina Luican , Dmitry Abanin , Leonid Levitov , Eva Y. Andrei

We study quasiparticle tunneling between the edges of a non-Abelian topological state. The simplest examples are a p+ip superconductor and the Moore-Read Pfaffian non-Abelian fractional quantum Hall state; the latter state may have been…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

We perform exact diagonalization studies for fractional quantum Hall states at filing factor 4/5 in a bilayer system, on a torus with various aspect ratios and angles. We find that in the absence of tunneling, two weakly coupled 2/5-layers…

Strongly Correlated Electrons · Physics 2019-12-16 Hao Wang , Alexander Seidel , Kun Yang , Fu-Chun Zhang

Topological insulators are bulk electronic insulators which possess symmetry protected gapless modes on their surfaces. Breaking the symmetries that underlie the gapless nature of the surface modes is predicted to give rise to exotic new…

Strongly Correlated Electrons · Physics 2014-10-15 J. G. Checkelsky , R. Yoshimi , A. Tsukazaki , K. S. Takahashi , Y. Kozuka , J. Falson , M. Kawasaki , Y. Tokura

We show that the Quantum Spin Hall Effect, a state of matter with topological properties distinct from conventional insulators, can be realized in HgTe/CdTe semiconductor quantum wells. By varying the thickness of the quantum well, the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Taylor L. Hughes , Shou-Cheng Zhang

Edge states reflect the key physical properties yet are difficult to probe individually, particularly when several states are present at an edge. We present momentum resolved tunneling spectroscopy between a quantum well and a quantum wire…

Upon increasing the electron density in a quantum wire, the one-dimensional electron system undergoes a transition to a quasi-one-dimensional state. In the absence of interactions between electrons, this corresponds to filling up the second…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Julia S. Meyer , K. A. Matveev , A. I. Larkin

Electron correlation and topology are two central threads of modern condensed matter physics. Semiconductor moir\'e materials provide a highly tunable platform for studies of electron correlation. Correlation-driven phenomena, including the…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Tingxin Li , Shengwei Jiang , Bowen Shen , Yang Zhang , Lizhong Li , Trithep Devakul , Kenji Watanabe , Takashi Taniguchi , Liang Fu , Jie Shan , Kin Fai Mak

We theoretically studied the quasiparticle transport in a 2D electron gas biased in the quantum Hall regime and in the presence of a lateral potential barrier. The lateral junction hosts the specific magnetic field dependent quasiparticle…

Mesoscale and Nanoscale Physics · Physics 2017-04-28 A. M. Kadigrobov , M. V. Fistul

The plateau phase transition in quantum anomalous Hall (QAH) insulators corresponds to a quantum state wherein a single magnetic domain gives way to multiple magnetic domains and then re-converges back to a single magnetic domain. The layer…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Deyi Zhuo , Ling-Jie Zhou , Yi-Fan Zhao , Ruoxi Zhang , Zi-Jie Yan , Annie G. Wang , Moses H. W. Chan , Chao-Xing Liu , Chui-Zhen Chen , Cui-Zu Chang

We experimentally study equilibration between edge states, co-propagating at the edge of the fractional quantum Hall liquid, at high initial imbalances. We find an anomalous increase of the conductance between the fractional edge states at…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. V. Deviatov , A. A. Kapustin , V. T. Dolgopolov , A. Lorke , D. Reuter , A. D. Wieck