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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

We present a topological description of quantum spin Hall effect (QSHE) in a two-dimensional electron system on honeycomb lattice with both intrinsic and Rashba spin-orbit couplings. We show that the topology of the band insulator can be…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , Z. Y. Weng , L. Sheng , F. D. M. Haldane

We explored the possibility of realizing quantum anomalous Hall effect by placing heavy-element atomic layer on top of monolayer CrI$_{3}$ with a natural cleavage surface and broken time-reversal symmetry. We showed that CrI$_{3}$/X (X =…

Materials Science · Physics 2019-11-27 Majeed Ur Rehman , Xinlong Dong , Tao Hou , Zeyu Li , Shifei Qi , Zhenhua Qiao

The anomalous Hall effect in metal-insulator-semiconductor structures having thin (Ga,Mn)As layers as a channel has been studied in a wide range of Mn and hole densities changed by the gate electric field. Strong and unanticipated…

Materials Science · Physics 2015-03-17 D. Chiba , A. Werpachowska , M. Endo , Y. Nishitani , F. Matsukura , T. Dietl , H. Ohno

In this paper, we study topological properties and Hall conductivities in PbC/MnSe heterostructure under the illumination of a circularly polarized light. At high frequency regime, energy gap, Chern numbers, and Hall conductivities are…

Mesoscale and Nanoscale Physics · Physics 2020-03-05 L. Chen

Changes dopant ion concentrations in the sides of a symmetric quantum well are known to create a random Rashba-type spin-orbit coupling. Here we demonstrate that, as a consequence, a finite size spin-Hall effect is also present. Our…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. P. Moca , D. C. Marinescu , S. Filip

Based on ab initio calculations, we predict that a monolayer of Cr-doped (Bi,Sb)2Te3 and GdI2 heterostructure is a quantum anomalous Hall insulator with a non-trivial band gap up to 38 meV. The principle behind our prediction is that the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Gang Xu , Jing Wang , Claudia Felser , Xiao-Liang Qi , Shou-Cheng Zhang

Anomalous and spin Hall effects are investigated theoretically for a magnetic tunnel junction where the applied voltage produces a Rashba spin-or bit coupling within the tunneling barrier layer. The ferromagnetic electrodes are the source…

Mesoscale and Nanoscale Physics · Physics 2013-05-16 A. V. Vedyayev , M. S. Titova , N. V. Ryzhanova , M. Ye. Zhuravlev , E. Y. Tsymbal

The anomalous Hall effect in a magnetic two-dimensional electron gas with Rashba spin-orbit coupling is studied within the Kubo-Streda formalism in the presence of pointlike potential impurities. We find that all contributions to the…

A quantum anomalous Hall state with high Chern number has so far been realized in multiplayer structures consisting of alternating magnetic and undoped topological insulator layers. However, in previous proposals, the Chern number can be…

Mesoscale and Nanoscale Physics · Physics 2022-12-28 Yuriko Baba , Mario Amado , Enrique Diez , Francisco Domínguez-Adame , Rafael A. Molina

We calculate the anomalous Hall conductance of superconductors with spin-orbit interaction and with either uniform or local magnetization. In the first case we consider a uniform ferromagnetic ordering in a spin triplet superconductor,…

Superconductivity · Physics 2015-06-03 P. D. Sacramento , M. A. N. Araujo , V. R. Vieira , V. K. Dugaev , J. Barnas

The quantum anomalous Hall (QAH) state is a two-dimensional topological insulating state that has quantized Hall resistance of h/Ce2 and vanishing longitudinal resistance under zero magnetic field, where C is called the Chern number. The…

Recently Chern insulators with Chern number $C=1$ and $C=2$ in zero (or very small) magnetic field have been observed in two moire graphene systems: twisted bilayer graphene and ABC trilayer graphene, both aligned with a hexagonal…

Strongly Correlated Electrons · Physics 2020-10-07 Ya-Hui Zhang , T. Senthil

Numerous attempts have been made so far to explore the quantum anomalous Hall effect (QAHE), but the ultralow observed temperature strongly hinders its practical applications. Hence, it is of great interest to go beyond the existing…

Mesoscale and Nanoscale Physics · Physics 2023-04-12 Fangyang Zhan , Junjie Zeng , Zhuo Chen , Xin Jin , Jing Fan , Tingyong Chen , Rui Wang

In 2010, quantum anomalous Hall effect (QAHE) in graphene was proposed in the presence of Rashba spin-orbit coupling and ferromagnetic exchange field. After a decade's experimental exploration, the anomalous Hall conductance can only reach…

Mesoscale and Nanoscale Physics · Physics 2023-05-31 Yulei Han , Zhi Yan , Zeyu Li , Xiaohong Xu , Zhenyu Zhang , Qian Niu , Zhenhua Qiao

Quantum anomalous Hall (QAH) insulators are two-dimensional (2D) insulating states exhibiting properties similar to those of quantum Hall states but without external magnetic field. They have quantized Hall conductance $\sigma^H=Ce^2/h$,…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

The anomalous Hall and Nernst effects are considered theoretically within Matsubara-Green's function formalism. The effective Hamiltonian of a magnetized two-dimensional electron gas with cubic Rashba spin-orbit interaction may describe…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Anna Krzyżewska , Anna Dyrdał

We investigate topological phases of monolayer jacutingaite (Pt$_2$HgSe$_3$) that arise when considering the competing effects of spin-orbit coupling (SOC), magnetic exchange interactions, and staggered sublattice potential V. The interplay…

Mesoscale and Nanoscale Physics · Physics 2022-12-22 Vassilios Vargiamidis , P. Vasilopoulos , Neophytos Neophytou

A quantum anomalous Hall system is predicted to realize topological superconductivity when proximity-coupled to an $s$-wave superconductor. A kagome magnet with chiral magnetic ordering exhibits the quantum anomalous Hall effect; however,…

Mesoscale and Nanoscale Physics · Physics 2026-02-10 Koji Kudo , Ryota Nakai , Hiroki Isobe , Kentaro Nomura

The recent advent of topological states of matter spawned many significant discoveries. The quantum anomalous Hall effect[1-3] is a prime example due to its potential for applications in quantum metrology[4, 5] as well as its influence on…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Kajetan M. Fijalkowski , Nan Liu , Pankaj Mandal , Steffen Schreyeck , Karl Brunner , Charles Gould , Laurens W. Molenkamp
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