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$\mathrm{MnBi_2Te_4}$ has recently been established as an intrinsic antiferromagnetic (AFM) topological insulator and predicted to be an ideal platform to realize quantum anomalous Hall (QAH) insulator and axion insulator states. We…

While the helical character of the edge channels responsible for charge transport in the quantum spin Hall regime of a two-dimensional topological insulator is by now well established, an experimental confirmation that the transport in the…

We consider quantum spin Hall effect in an anisotropic strip of stripes and address both integer and fractional filling factors. The first model is based on a gradient of spin-orbit interaction in the direction perpendicular to the stripes.…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 Jelena Klinovaja , Yaroslav Tserkovnyak

The spin-orbit interaction in a solid couples the spin of an electron to its momentum. This coupling gives rise to mutual conversion between spin and charge currents: the direct and inverse spin Hall effects. The spin Hall effects have been…

Materials Science · Physics 2015-05-28 Kazuya Ando , Eiji Saitoh

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 the edge physics of the deconfined quantum phase transition (DQCP) between a spontaneous quantum spin Hall (QSH) insulator and a spin-singlet superconductor (SC). Although the bulk of this transition is in the same universality…

Strongly Correlated Electrons · Physics 2022-06-20 Ruochen Ma , Liujun Zou , Chong Wang

Topological magnetic insulators host chiral gapless edge modes. In the presence of strong interaction effects, the spin of these modes may fractionalize. Studying a 2D array of coupled insulating spin-1/2 chains, we show how spatially…

Strongly Correlated Electrons · Physics 2025-01-03 Even Thingstad , Pierre Fromholz , Flavio Ronetti , Daniel Loss , Jelena Klinovaja

Resonant inelastic light scattering experiments access the low lying excitations of electron liquids in the fractional quantum Hall regime in the range $2/5 \geq \nu \geq 1/3$. Modes associated with changes in the charge and spin degrees of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. Dujovne , C. F. Hirjibehedin , A. Pinczuk , Moonsoo Kang , B. S. Dennis , L. N. Pfeiffer , K. W. West

We study relevant perturbations at the spin quantum Hall critical point using a network model formulation. The model has been previously mapped to classical percolation on a square lattice, and we use the mapping to extract exact analytical…

Disordered Systems and Neural Networks · Physics 2015-01-28 S. Bhardwaj , I. A. Gruzberg , V. Kagalovsky

We present a microscopic theory of spin-orbit coupling in the integer quantum Hall regime. The spin-orbit scattering length is evaluated in the limit of long-range random potential. The spin-flip rate is shown to be determined by rare…

Condensed Matter · Physics 2009-10-28 D. G. Polyakov

The quantum Hall regime in a smooth random potential is considered when two disorder-broadened Zeeman levels overlap strongly. Spin-orbit coupling is found to cause a drastic change in the percolation network which leads to a strong…

Condensed Matter · Physics 2016-08-31 D. G. Polyakov , M. E. Raikh

The quantum kicked rotator is a periodically driven dynamical system with a metal-insulator transition. We extend the model so that it includes phase transitions between a metal and a topological insulator, in the universality class of the…

Mesoscale and Nanoscale Physics · Physics 2012-04-26 E. P. L. van Nieuwenburg , J. M. Edge , J. P. Dahlhaus , J. Tworzydło , C. W. J. Beenakker

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

Motivated by a recent experiment (Sanchez-Yamagishi et.al, arXiv:1602.06815) reporting evidence of helical spin-polarized edge states in layer-biased twisted bilayer graphene under a magnetic flux, we study the possibility of stabilising a…

Mesoscale and Nanoscale Physics · Physics 2017-07-13 F. Finocchiaro , F. Guinea , P. San-Jose

We consider the Kane-Mele model with spin-orbit coupling supplemented by a Hubbard U term. On the basis of projective auxiliary field quantum Monte Carlo simulations on lattice sizes up to 15 x 15, we map out the phase diagram. The quantum…

Strongly Correlated Electrons · Physics 2015-03-17 M. Hohenadler , T. C. Lang , F. F. Assaad

We investigate the current noise correlations at a quantum point contact in a quantum spin Hall structure, focusing on the effect of a weak magnetic field in the presence of disorder. For the case of two equally biased terminals we discover…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Jonathan M. Edge , Jian Li , Pierre Delplace , Markus Büttiker

We investigate Meissner effect in normal metal/superconductor junctions where the interface is spin-active. We find that orbital magnetic susceptibility of the normal metal shows highly nontrivial behaviors. In particular, the magnetic…

Superconductivity · Physics 2011-06-21 Takehito Yokoyama , Yukio Tanaka , Naoto Nagaosa

We explore a spin Josephson effect in a system of two ferromagnets coupled by a tunnel junction formed of 2D time-reversal invariant topological insulators. In analogy with the more commonly studied instance of the Josephson effect for…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Qinglei Meng , Vasudha Shivamoggi , Taylor L. Hughes , Matthew J. Gilbert , Smitha Vishveshwara

Through combined ferromagnetic resonance, spin-pumping and inverse spin Hall effect experiments in Co|Pt bilayers and Co|Cu|Pt trilayers, we demonstrate consistent values of spin diffusion length $\ell_{\rm sf}^{\rm Pt}=3.4\pm0.4$ nm and of…

Mesoscale and Nanoscale Physics · Physics 2014-03-18 J. -C. Rojas-Sánchez , N. Reyren , P. Laczkowski , W. Savero , J. -P. Attané , C. Deranlot , M. Jamet , J. -M. George , L. Vila , H. Jaffrès

The edge states of a two-dimensional quantum spin Hall (QSH) insulator form a one-dimensional helical metal which is responsible for the transport property of the QSH insulator. Conceptually, such a one-dimensional helical metal can be…

Mesoscale and Nanoscale Physics · Physics 2011-12-06 Yongjin Jiang , Feng Lu , Feng Zhai , Tony Low , Jiangping Hu