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We study theoretically the two-dimensional topological electric state in a single band semiconductor with strong spin-orbit interactions under harmonic scalar electrostatic potentials. The electronic states described by the spin Landau…

Mesoscale and Nanoscale Physics · Physics 2013-09-25 Tetsuro Habe , Yasuhiro Asano

The survival of the quantum spin Hall edge channels in presence of an external magnetic field has been a subject of experimental and theoretical research. The inversion of Landau levels that accommodates the quantum spin Hall effect is…

We consider the two-dimensional topological Chern insulator in the presence of static disorder. Generic quantum states in this system are Anderson localized. However, topology requires the presence of a subset of critical states, with…

Mesoscale and Nanoscale Physics · Physics 2023-08-29 Mateo Moreno-Gonzalez , Johannes Dieplinger , Alexander Altland

Topological magnon insulators exhibit robust edge modes with chiral properties similar to quantum Hall edge states. However, due to their strong localization at the edges, interactions between these chiral edge magnons can be significant,…

Strongly Correlated Electrons · Physics 2026-01-12 Stefan Birnkammer , Michael Knap , Johannes Knolle , Alexander Mook , Alvise Bastianello

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

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

Following the recent theoretical proposal and experiment on quantum spin Hall effect in HgTe/CdTe quantum wells, we consider a single magnetic impurity localized in the bulk of the system, which we treat as a classical spin. It is shown…

Materials Science · Physics 2010-05-04 Qin Liu , Tianxing Ma

The outstanding transport properties expected at the edge of two-dimensional time-reversal invariant topological insulators have proven to be challenging to realize experimentally, and have so far only been demonstrated in very short…

Mesoscale and Nanoscale Physics · Physics 2020-04-06 Luca Vannucci , Thomas Olsen , Kristian S. Thygesen

Static disorder in a noninteracting gas of electrons confined to two dimensions can drive a continuous quantum (Anderson) transition between a metallic and an insulating state when time-reversal symmetry is preserved but spin-rotation…

Mesoscale and Nanoscale Physics · Physics 2008-09-03 Hideaki Obuse , Akira Furusaki , Shinsei Ryu , Christopher Mudry

The helical edge states of time-reversal invariant two-dimensional topological insulators are protected against backscattering in idealized models. In more realistic scenarios with a shallow confining potential at the sample boundary,…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Niels John , Adrian Del Maestro , Bernd Rosenow

Hybrid two-dimensional electron gas-superconductor (2DEG-S) structures in a quantized magnetic field offer a promising platform for realizing new topological phases. While recent experiments reveal chiral Andreev edge states, their charge…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 M. V. Parfenov , V. S. Khrapai , I. S. Burmistrov

We prove that Chern insulators have topologically protected edge states which not only propagate unidirectionally along a straight line boundary, but also swerve around arbitrary-angled corners and geometric imperfections of the material…

Mathematical Physics · Physics 2020-06-30 Guo Chuan Thiang

The hallmark property of two-dimensional topological materials is the incredible robustness of the quantized Hall conductivity to disorder. That robustness arises from the fact that in the topological band gap, transport can occur only…

We study the spin transport properties of the non-centrosymmetric superconductor with time-reversal-symmetry where spin-triplet $(p_{x} \pm i p_{y})$-wave and spin-singlet s-wave pair potential can mix each other. We show that when the…

Superconductivity · Physics 2009-11-13 Yukio Tanaka , Takehito Yokoyama , Alexander V. Balatsky , Naoto Nagaosa

Spin currents are key to spin torque devices, but determining the proper spin current is non-trivial. Here we derive a general quantum-mechanical formula for the intrinsic proper spin current showing that it is topological and can be finite…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 Hong Liu , James H. Cullen , Dimitrie Culcer

We consider a disordered topological insulator thin film placed on the top of a ferromagnetic insulator with a perpendicular exchange field $M$ and subjected to a perpendicular electric field. The presence of ferromagnetic insulator causes…

Mesoscale and Nanoscale Physics · Physics 2022-11-15 Siamak Pooyan , Mir Vahid Hosseini

Studying the edge states of a topological system and extracting their topological properties is of great importance in understanding and characterizing these systems. In this paper, we present a novel analytical approach for obtaining…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Mozhgan Sadeghizadeh , Morteza Soltani , Mohsen Amini

We analyse the topological transition and localization evolution of disordered two dimensional systems with non trivial topology based on bipartite lattices. Chern insulators with broken time reversal symmetry show non standard behavior for…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 Eduardo V. Castro , M. Pilar López-Sancho , María A. H. Vozmediano

We present the theory of a new type of topological quantum order which is driven by the spin-orbit density wave order parameter, and distinguished by $Z_2$ topological invariant. We show that when two oppositely polarized chiral bands…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 Gaurav Kumar Gupta , Tanmoy Das

We present models of topological insulating Hamiltonians exhibiting intrinsic altermagnetic features, protected by combined three-fold or four-fold rotational symmetries with time-reversal. We demonstrate that the spin Chern number serves…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Rafael Gonzalez-Hernandez , Bernardo Uribe