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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…

强关联电子 · 物理学 2015-03-17 M. Hohenadler , T. C. Lang , F. F. Assaad

We demonstrate that a combination of disorder and interactions in a two-dimensional bulk topological insulator can generically drive its helical edge insulating. We establish this within the framework of helical Luttinger liquid theory and…

强关联电子 · 物理学 2018-08-24 Yang-Zhi Chou , Rahul M. Nandkishore , Leo Radzihovsky

We study current carrying helical edge states in a two-dimensional topological insulator coupled to an environment of localized spins, i.e. a spin bath. The localized spins mediate elastic spin-flip scattering between the helical edge…

介观与纳米尺度物理 · 物理学 2012-07-12 Anders Mathias Lunde , Gloria Platero

Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers can be described as massless relativistic particles, whose spin and momentum are coupled to each other. While the helical…

Critical phenomena and quantum phase transitions are paradigmatic concepts in modern condensed matter physics. A central example in the field of mesoscopic physics is the localization-delocalization (metal-insulator) quantum phase…

介观与纳米尺度物理 · 物理学 2010-07-19 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

We consider a four-terminal setup of a two-dimensional topological insulator (quantum spin Hall insulator) with local tunneling between the upper and lower edges. The edge modes are modeled as helical Luttinger liquids and the…

强关联电子 · 物理学 2011-08-30 Thomas L. Schmidt

In many materials, ordered phases and their order parameters are easily characterized by standard experimental methods. "Hidden order" refers to a phase transition in which an ordered state emerges without such an easily detectable order…

We study transport properties and topological phase transition in two-dimensional interacting disordered systems. Within dynamical mean-field theory, we derive the Hall conductance, which is quantized and serves as a topological invariant…

无序系统与神经网络 · 物理学 2019-03-27 Jun-Hui Zheng , Tao Qin , Walter Hofstetter

We consider a class of {\em quantum Hall topological insulators}: topologically nontrivial states with zero Chern number at finite magnetic field, in which the counter-propagating edge states are protected by a symmetry (spatial or spin)…

强关联电子 · 物理学 2016-07-27 Maxim Kharitonov , Stefan Juergens , Björn Trauzettel

The effects of Hubbard-type on-site interactions on the BHZ model is studied in this paper for model parameters appropriate for the HgTe/CdTe quantum well. Within a simple mean field theory we search for plausible magnetic instabilities in…

强关联电子 · 物理学 2017-03-22 Zewei Chen , Tai Kai Ng

Since the experimental realisation of the integer quantised Hall effect in a two dimensional electron system subject to strong perpendicular magnetic fields in 1980, a central question has been the interrelation between the conductance…

介观与纳米尺度物理 · 物理学 2013-11-26 E. M. Kendirlik , S. Sirt , S. B. Kalkan , N. Ofek , V. Umansky , A. Siddiki

The interplay between topology and interaction always plays an important role in condensed matter physics and induces many exotic quantum phases, while rare transition metal layered material (TMLM) has been proved to possess both. Here we…

We study the localization-driven correlated states among two isolated dirty interacting helical edges as realized at the boundaries of two-dimensional $\mathbb{Z}_2$ topological insulators. We show that an interplay of time-reversal…

强关联电子 · 物理学 2019-01-15 Yang-Zhi Chou

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…

强关联电子 · 物理学 2025-01-03 Even Thingstad , Pierre Fromholz , Flavio Ronetti , Daniel Loss , Jelena Klinovaja

Two-dimensional topological insulators (TIs) host gapless helical edge states that are predicted to support a quantized two-terminal conductance. Quantization is protected by time-reversal symmetry, which forbids elastic backscattering.…

介观与纳米尺度物理 · 物理学 2019-12-13 Ajit C. Balram , Karsten Flensberg , Jens Paaske , Mark S. Rudner

Inducing long-range magnetic order in three-dimensional topological insulators can gap the Diraclike metallic surface states, leading to exotic new phases such as the quantum anomalous Hall effect or the axion insulator state. These…

介观与纳米尺度物理 · 物理学 2021-08-20 Semonti Bhattacharyya , Golrokh Akhgar , Matt Gebert , Julie Karel , Mark T Edmonds , Michael S Fuhrer

The gapless edge modes of the Quantum Spin Hall insulator form a helical liquid in which the direction of motion along the edge is determined by the spin orientation of the electrons. In order to probe the Luttinger liquid physics of these…

介观与纳米尺度物理 · 物理学 2014-04-14 Romain Vasseur , Joel E. Moore

We investigate the effect of spatially correlated disorder on two-dimensional topological insulators and on the quantum spin Hall effect which the helical edge states in these systems give rise to. Our work expands the scope of previous…

介观与纳米尺度物理 · 物理学 2013-07-15 A. Girschik , F. Libisch , S. Rotter

Focusing on the recently-discovered candidate topological insulator $\alpha$-(BEDT-TSeF)$_2$I$_3$ -- having two-dimensional charge-neutral Dirac cones in a low symmetry lattice -- we combine ab-initio and extended-Hubbard model calculations…

介观与纳米尺度物理 · 物理学 2022-05-24 Daigo Ohki , Kazuyoshi Yoshimi , Akito Kobayashi

Topology in condensed matter physics manifests itself in the emergence of edge or surface states protected by underlying symmetries. We review two-dimensional topological insulators whose one-dimensional edge states are characterized by…

介观与纳米尺度物理 · 物理学 2016-03-01 Giacomo Dolcetto , Maura Sassetti , Thomas L. Schmidt
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