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Two-dimensional (2D) Dirac fermions are a central paradigm of modern condensed matter physics, describing low-energy excitations in graphene, in certain classes of superconductors, and on surfaces of 3D topological insulators. At zero…

Mesoscale and Nanoscale Physics · Physics 2021-02-19 Björn Sbierski , Elizabeth J. Dresselhaus , Joel E. Moore , Ilya A. Gruzberg

In this work, we propose a scheme to realize the layer Hall effect in the ferromagnetic topological insulator Bi$_2$Se$_3$ via proximity to $d$-wave altermagnets. We show that an altermagnet and an in-plane magnetic field applied near one…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Fang Qin , Rui Chen

The quantum Hall effect is investigated in a high-mobility two-dimensional electron gas on the surface of a cylinder. The novel topology leads to a spatially varying filling factor along the current path. The resulting inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2010-11-01 K. -J. Friedland , A. Siddiki , R. Hey , H. Kostial , A. Riedel , D. K. Maude

We study the surface states and chiral hinge states of a 3D second-order topological insulator in the presence of an external magnetic gauge field. Surfaces pierced by flux host Landau levels, while surfaces parallel to the applied field…

Strongly Correlated Electrons · Physics 2021-09-03 B. A. Levitan , L. Goutte , T. Pereg-Barnea

We calculate the anomalous Hall conductivity $\sigma_{xy}$ of the surface states {in cubic topological Kondo insulators}. We consider a generic model for the surface states with three Dirac cones on the (001) surface. The Fermi velocity,…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 E. J. König , P. M. Ostrovsky , M. Dzero , A. Levchenko

A topological concern is addressed in view of the extensively and intensively studied topological phases of condensed matter. In this realm, the phases with topological order cannot be characterized by symmetry alone. Moreover, the relevant…

Mesoscale and Nanoscale Physics · Physics 2019-08-20 C. H. Ho , M. F. Lin

The coupled-wires approach has been shown to be useful in describing two-dimensional strongly interacting topological phases. In this manuscript we extend this approach to three-dimensions, and construct a model for a fractional strong…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Eran Sagi , Yuval Oreg

Quantum anomalous Hall (QAH) insulator is a topological phase which exhibits chiral edge states in the absence of magnetic field. The celebrated Haldane model is the first example of QAH effect, but difficult to realize. Here, we predict…

Materials Science · Physics 2017-03-24 H. P. Wang , Wei Luo , H. J. Xiang

A two-dimensional quantum Hall system is studied for a wide class of potentials including single-body random potentials and repulsive electron-electron interactions. We assume that there exists a non-zero excitation gap above the ground…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tohru Koma

Pulsed magnetic fields of up to 55T are used to investigate the transport properties of the topological insulator Bi_2Se_3 in the extreme quantum limit. For samples with a bulk carrier density of n = 2.9\times10^16cm^-3, the lowest Landau…

Mesoscale and Nanoscale Physics · Physics 2010-12-03 J. G. Analytis , R. D. McDonald , S. C. Riggs , J. -H. Chu , G. S. Boebinger , I. R. Fisher

Quantum Hall effect (QHE), the ground to construct modern conceptual electronic systems with emerging physics, is often much influenced by the interplay between the host two-dimensional electron gases and the substrate, sometimes predicted…

The quantum anomalous Hall (QAH) effect, a condensed matter analog of the parity anomaly, is characterized by a quantized Hall conductivity in the absence of an external magnetic field. However, it has been recently shown that, even in the…

Mesoscale and Nanoscale Physics · Physics 2020-08-13 Jan Böttcher , Christian Tutschku , Ewelina M. Hankiewicz

The quantum anomalous Hall (QAH) state is a two-dimensional bulk insulator with a non-zero Chern number in absence of external magnetic fields. Protected gapless chiral edge states enable dissipationless current transport in electronic…

Mesoscale and Nanoscale Physics · Physics 2011-08-25 Hai-Jun Zhang , Xiao Zhang , Shou-Cheng Zhang

In the quantum anomalous Hall effect, quantized Hall resistance and vanishing longitudinal resistivity are predicted to result from the presence of dissipationless, chiral edge states and an insulating 2D bulk, without requiring an external…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 E. J. Fox , I. T. Rosen , Yanfei Yang , George R. Jones , Randolph E. Elmquist , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

The quantum anomalous Hall effect (QAHE) hosts the dissipationless chiral edge states associated with the nonzero Chern number, providing potentially significant applications in future spintronics. The QAHE usually occurs in a…

Strongly Correlated Electrons · Physics 2018-08-08 Y. J. Jin , R. Wang , B. W. Xia , B. B. Zheng , H. Xu

We report the first experimental observation of magnetic-field-induced quantized charge accumulation in a quantum anomalous Hall (QAH) system -- a phenomenon originating from the intrinsic two-dimensional surface state and fundamentally…

Mesoscale and Nanoscale Physics · Physics 2025-09-11 Yuanze Li , Jiahao Chen , Renfei Wang , Yifan Zhang , Yingdong Deng , Jin Xie , Xufeng Kou , Yang Liu , Tian Liang

The dynamical transport properties near the integer quantum Hall transition are investigated at zero temperature by means of the Dirac fermion approach. These properties have been studied experimentally at low frequency omega and low…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Jug , K. Ziegler

When a two-dimensional electron gas is exposed to a perpendicular magnetic field and an in-plane electric field, its conductance becomes quantized in the transverse in-plane direction: this is known as the quantum Hall (QH) effect. This…

Hall conductance $\sigma_{xy}$ as the Chern numbers of the Berry connection in the magnetic Brillouin zone is calculated for a realistic multi band tight-band model of graphene with non-orthogonal basis. It is confirmed that the envelope of…

Mesoscale and Nanoscale Physics · Physics 2015-03-30 M. Arai , Y. Hatsugai

Non-interacting topological states of matter can be realized in band insulators with intrinsic spin-orbital couplings as a result of the nontrivial band topology. In recent years, the possibility of realizing novel interaction-driven…

Strongly Correlated Electrons · Physics 2016-08-31 W. Zhu , S. S. Gong , T. S. Zeng , L. Fu , D. N. Sheng
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