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Topological insulators have become one of the most active research areas in condensed matter physics. This article reviews progress on the topic of electronic correlations effects in the two-dimensional case, with a focus on systems with…

Strongly Correlated Electrons · Physics 2013-03-08 M. Hohenadler , F. F. Assaad

Symmetries play an essential role in identifying and characterizing topological states of matter. Here, we classify topologically two-dimensional (2D) insulators and semimetals with vanishing spin-orbit coupling using time-reversal…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Guido van Miert , Carmine Ortix , Cristiane Morais Smith

We study theoretically 2D HgTe/CdTe quantum well topological insulator (TI) illuminated by circularly polarized light with frequencies higher than the difference between the equilibrium Fermi level and the bottom of the conduction band (THz…

Mesoscale and Nanoscale Physics · Physics 2015-10-26 Vardan O. Kaladzhyan , Pavel P. Aseev , Sergey N. Artemenko

The typical bulk model describing 2D topological insulators (TI) consists of two types of spin-orbit terms, the so-called Dirac term which induces out-of plane spin polarization and the Rashba term which induces in-plane spin polarization.…

Mesoscale and Nanoscale Physics · Physics 2014-01-16 Dietrich G. Rothe , Ewelina M. Hankiewicz

Solid-state topological insulating phases, characterized by spin-momentum locked edge modes, provide a powerful route for spin and charge manipulation in electronic devices. We propose to control charge and spin transport in the helical…

Mesoscale and Nanoscale Physics · Physics 2013-03-01 Paolo Michetti , Björn Trauzettel

A system with a topological insulator slab sandwiched by two one-dimensional photonic crystals as a defect is investigated. A giant topological magnetoelectric effect is proposed which is characterized by two resonant peaks with half-unit…

Mesoscale and Nanoscale Physics · Physics 2011-01-26 Peng Wang , Qin Liu , Wei Li , Xunya Jiang

We address the problem of magnetic-field-induced corner states in quantum spin Hall insulators (QSHIs) beyond the particle-hole-symmetric limit. Starting from a realistic low-energy model for zinc-blende semiconductor quantum wells (QWs),…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Sergey S. Krishtopenko , Frédéric Teppe

We report an unconventional quantum spin Hall phase in the monolayer T$_\text{d}$-WTe$_2$, which exhibits hitherto unknown features in other topological materials. The low-symmetry of the structure induces a canted spin texture in the $yz$…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Jose H. Garcia , Marc Vila , Chuang-Han Hsu , Xavier Waintal , Vitor M. Pereira , Stephan Roche

The mutual interplay between electron transport and magnetism has attracted considerable attention in recent years, primarily motivated by strategies to manipulate magnetic degrees of freedom electrically, such as spin-orbit torques and…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 Hong Liu , Rhonald Burgos Atencia , Nikhil Medhekar , Dimitrie Culcer

We use Dirac quantization of flux to study fractional charges and axion angles \theta in interacting topological insulators with gapless surface modes protected by time-reversal symmetry. In interacting topological insulators, there are two…

Strongly Correlated Electrons · Physics 2010-10-12 K. -S. Park , H. Han

Topological insulators are transformative quantum solids with immune-to-disorder metallic surface states having Dirac band structure. Ubiquitous charged bulk defects, however, pull the Fermi energy into the bulk bands, denying access to…

We derive an effective non-linear sigma model for quantum hall systems with arbitrary polarizations, by employing the recently proposed doublet model. We study the topological excitations, in particular, the skyrmions, as a function of the…

Condensed Matter · Physics 2009-10-30 Sudhansu S. Mandal , V. Ravishankar

We theoretically study the equilibrium spin current fluctuations and the corresponding charge noise generated by inverse spin Hall effect (ISHE) in a metal with strong spin-orbit coupling deposited on top of a quantum paramagnet. It is…

Strongly Correlated Electrons · Physics 2018-08-08 Darshan G. Joshi , Andreas P. Schnyder , So Takei

The spin-Hall effect underpins some of the most active topics in modern physics, including spin torques and the inverse spin-Hall effect, yet it lacks a proper theoretical description. This makes it difficult to differentiate the SHE from…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Hongyang Ma , James H. Cullen , Serajum Monir , Rajib Rahman , Dimitrie Culcer

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

Quantum Spin-Hall systems are topological insulators displaying dissipationless spin currents flowing at the edges of the samples. In contradistinction to the Quantum Hall systems where the charge conductance of the edge modes is quantized,…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Emil Prodan

Recent theories predict dissipationless spin current induced by an electric field in doped semiconductors. Nevertheless, the charge current is still dissipative in these systems. In this work, we theoretically predict the dissipationless…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Shuichi Murakami , Naoto Nagaosa , Shou-Cheng Zhang

The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external…

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

In this review, We discussed the theoretical foundation and experimental discovery of different topological electronic states of material in condensed matter. At first, we briefly reviewed the conventional electronic states, which have been…

Materials Science · Physics 2020-11-30 Arnab Kumar Pariari

The existence of conserved spin Hall currents is shown in a strongly correlated system without involving spin-orbit coupling. The spin Hall conductivity is determined by intrinsic bulk properties, which remains finite even when the charge…

Strongly Correlated Electrons · Physics 2007-05-23 Su-Peng Kou , Xiao-Liang Qi , Zheng-Yu Weng