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The surface states of topological insulators, which behave as charged massless Dirac fermions, are studied in the presence of a quantizing uniform magnetic field. Using the method of D.H. Lee[1], analytical formula satisfied by the energy…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 Oskar Vafek

We develop a simple model of surface states for topological insulators, developing matching relations for states on surfaces of different orientations. The model allows one to write simple Dirac Hamiltonians for each surface, and to…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 L. Brey , H. A. Fertig

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 describe a new effect in semiconductor spintronics that leads to dissipationless spin-currents in paramagnetic spin-orbit coupled systems. We argue that in a high mobility two-dimensional electron system with substantial Rashba…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jairo Sinova , Dimitrie Culcer , Q. Niu , N. A. Sinitsyn , T. Jungwirth , A. H. MacDonald

Topological phases of electrons such as topological insulators and quantum Hall states typically require strong spin-orbit coupling or magnetic fields. In this study, we consider an electron system coupled to a spin system, where electrons…

Strongly Correlated Electrons · Physics 2025-12-11 Kosuke Fujiwara , Takahiro Morimoto

Topological insulators (TIs) are a new quantum state of matter discovered recently, which are characterized by unconventional bulk topological invariants. Proposals for practical applications of the TIs are mostly based upon their metallic…

Mesoscale and Nanoscale Physics · Physics 2016-01-15 M. N. Chen , L. Sheng , R. Shen , D. N. Sheng , D. Y. Xing

Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

Mesoscale and Nanoscale Physics · Physics 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban

Quantum spin Hall insulators, recently realized in HgTe/(Hg,Cd)Te quantum wells, support topologically protected, linearly dispersing edge states with spin-momentum locking. A local magnetic exchange field can open a gap for the edge…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Carsten Timm

Time-periodic perturbations can be used to engineer topological properties of matter by altering the Floquet band structure. This is demonstrated for a spin Hall insulator in the presence of monochromatic circularly polarized light. The…

Mesoscale and Nanoscale Physics · Physics 2012-02-02 Balázs Dóra , Jérôme Cayssol , Ferenc Simon , Roderich Moessner

Certain insulating materials with strong spin-orbit coupling can conduct currents along their edges or surfaces. This phenomenon arises from the non-trivial topological properties of the electronic band-structure, and is somewhat similar to…

Strongly Correlated Electrons · Physics 2013-08-22 Predrag Nikolic , Tanja Duric , Zlatko Tesanovic

The quantum spin Hall (QSH) effect has attracted extensive research interest because of the potential applications in spintronics and quantum computing, which is attributable to two conducting edge channels with opposite spin polarization…

We construct continuum models of 3D and 4D topological insulators by coupling spin-1/2 fermions to an SU(2) background gauge field, which is equivalent to a spatially dependent spin-orbit coupling. Higher dimensional generalizations of flat…

Strongly Correlated Electrons · Physics 2013-11-01 Yi Li , Shou-Cheng Zhang , Congjun Wu

The quantum anomalous Hall (QAH) effect has been recently discovered in experiment using thin-film topological insulator with ferromagnetic ordering and strong spin-orbit coupling. Here we investigate the spin degree of freedom of a QAH…

Mesoscale and Nanoscale Physics · Physics 2014-09-30 Jiansheng Wu , Jie Liu , Xiong-Jun Liu

Ever since its discovery, the electron spin has only been measured or manipulated through the application of an electromagnetic force acting on the associated magnetic moment. In this work, we propose a spin Aharonov-Bohm effect in which…

Mesoscale and Nanoscale Physics · Physics 2010-11-05 Joseph Maciejko , Eun-Ah Kim , Xiao-Liang Qi

Detection and manipulation of electrons' spins are key prerequisites for spin-based electronics or spintronics. This is usually achieved by contacting ferromagnets with metals or semiconductors, in which the relaxation of spins due to…

Materials Science · Physics 2014-11-05 Y. Shiomi , K. Nomura , Y. Kajiwara , K. Eto , M. Novak , Kouji Segawa , Yoichi Ando , E. Saitoh

Unconventional features of relativistic Dirac/Weyl quasi-particles in topological materials are most evidently manifested in the 2D quantum Hall effect (QHE), whose variety is further enriched by their spin and/or valley polarization.…

Topological insulators have been predicted to exhibit a variety of interesting phenomena including a quantized magnetoelectric response and novel spintronics effects due to spin textures on their surfaces. However, experimental observation…

We demonstrate that flow of longitudinal unpolarized current through a ballistic two-dimensional electron gas with Rashba spin-orbit coupling will induce nonequilibrium spin accumulation which has opposite sign for the two lateral edges and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Branislav K. Nikolic , Satofumi Souma , Liviu P. Zarbo , Jairo Sinova

We study the $S_z$-conserving quantum spin Hall insulator in the presence of Hubbard $U$ from a field theory point view. The main findings are the following. (1) For arbitrarily small U the edges possess power-law correlated…

Strongly Correlated Electrons · Physics 2013-05-29 Dung-Hai Lee

We study coherent spin transport through helical edge states of topological insulator tunnel-coupled to metallic leads. We demonstrate that unpolarized incoming electron beam acquires finite polarization after transmission through such a…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 R. A. Niyazov , D. N. Aristov , V. Yu. Kachorovskii
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