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The theory of the insulating state discriminates between insulators and metals by means of a localization tensor, which is finite in insulators and divergent in metals. In absence of time-reversal symmetry, this same tensor acquires an…

介观与纳米尺度物理 · 物理学 2009-11-11 Raffaele Resta

Topological insulators [1-6] is a new quantum phase of matter with exotic properties such as dissipationless transport and protection against Anderson localization [7]. These new states of quantum matter could be one of the missing links…

材料科学 · 物理学 2010-07-29 M. Klintenberg

We experimentally investigate the tendency of localization in the bulk and the topological surface states in topological insulators Pb(Bi1-xSbx)2Te4 (x=0.793-0.818) through detailed transport measurements. The bulk electronic states in the…

We develop a unified view of topological phase transitions (TPTs) in solids by revising the classical band theory with the inclusion of topology. Re-evaluating the band evolution from an "atomic crystal" [a normal insulator (NI)] to a solid…

材料科学 · 物理学 2020-05-11 Huaqing Huang , Feng Liu

The random-dimer model is probably the most popular model for a one-dimensional disordered system where correlations are responsible for delocalization of the wave functions. This is the primary model used to justify the insulator-metal…

量子气体 · 物理学 2010-04-27 Jean-François Schaff , Zehra Akdeniz , Patrizia Vignolo

Axion electrodynamics, first proposed in the context of particle physics, manifests itself in condensed matter physics in the topological field theory description of 3d topological insulators and gives rise to magnetoelectric effect, where…

介观与纳米尺度物理 · 物理学 2016-04-20 Imam Makhfudz

Three dimensional topological insulators are bulk insulators with $\mathbf{Z}_2$ topological electronic order that gives rise to conducting light-like surface states. These surface electrons are exceptionally resistant to localization by…

介观与纳米尺度物理 · 物理学 2017-03-07 Yishuai Xu , Janet Chiu , Lin Miao , Haowei He , Zhanybek Alpichshev , A. Kapitulnik , Rudro R. Biswas , L. Andrew Wray

We investigate disordered-driven transitions between trivial and topological insulator (TI) phases in two-dimensional (2D) systems. Our study primarily focuses on the BHZ model with Anderson disorder, while other standard 2DTI models…

无序系统与神经网络 · 物理学 2024-05-03 Bryan D. Assunção , Gerson J. Ferreira , Caio H. Lewenkopf

We study numerically the interplay of disorder and attractive interactions for spin-1/2 fermions in the three-dimensional Hubbard model. The results obtained by projector quantum Monte Carlo simulations show that at moderate disorder,…

凝聚态物理 · 物理学 2007-05-23 Bhargavi Srinivasan , Giuliano Benenti , Dima L. Shepelyansky

Strong disorder drives conventional Hermitian systems into Anderson insulating states, suppressing all topological phases. Here, we unveil symmetry-protected, anomalous topological phases in the strong disorder limit of a non-Hermitian…

介观与纳米尺度物理 · 物理学 2026-02-11 Mina Ren , Xi Shi , Haitao Jiang , Feng Liu , Hong Chen , Yong Sun

The quadrupole topological insulator (QTI) has attracted intense studies as a prototype of symmetry-protected higher-order topological phases of matter with a quantized quadrupole moment. The realization of QTIs has been reported in various…

介观与纳米尺度物理 · 物理学 2022-06-08 Zhen Ning , Bo Fu , Dong-Hui Xu , Rui Wang

The continuous quantum phase transition between noninteracting, time-reversal symmetric topological and trivial insulators in three dimensions is described by the massless Dirac fermion. We address the stability of this quantum critical…

介观与纳米尺度物理 · 物理学 2016-07-06 Bitan Roy , Pallab Goswami , Jay D. Sau

The superfluid to insulator quantum phase transition of a three-dimensional particle-hole symmetric system of disordered bosons is studied. To this end, a site-diluted quantum rotor Hamiltonian is mapped onto a classical (3+1)-dimensional…

量子气体 · 物理学 2018-10-25 Jack Crewse , Cameron Lerch , Thomas Vojta

Two-dimensional non-interacting fermions without any anti-unitary symmetries generically get Anderson localized in the presence of disorder. In contrast, topological superconductors with their inherent particle-hole symmetry can host a…

介观与纳米尺度物理 · 物理学 2026-01-01 Subrata Pachhal , Naba P. Nayak , Soumya Bera , Adhip Agarwala

Exponentially localized surface states are the most distinctive property of a crystal with non-trivial band topology. Such surface states play a key role in characterizing topological insulators (TIs), both in theory and experiments. TIs…

强关联电子 · 物理学 2021-10-29 Shouvik Sur , Pallab Goswami

We use the method of bulk-boundary correspondence of topological invariants to show that disordered topological insulators have at least one delocalized state at their boundary at zero energy. Those insulators which do not have chiral…

无序系统与神经网络 · 物理学 2015-08-06 A. Essin , V. Gurarie

Topological insulators are materials with a bulk excitation gap generated by the spin orbit interaction, and which are different from conventional insulators. This distinction is characterized by Z_2 topological invariants, which…

介观与纳米尺度物理 · 物理学 2009-11-11 Liang Fu , C. L. Kane

The possibility of driving an Anderson metal-insulator transition in the presence of scale-free disorder by changing the correlation exponent is numerically investigated. We calculate the localization length for quasi-one-dimensional…

无序系统与神经网络 · 物理学 2012-06-05 Alexander Croy , Michael Schreiber

Topological insulators can be generally defined by a topological field theory with an axion angle theta of 0 or pi. In this work, we introduce the concept of fractional topological insulator defined by a fractional axion angle and show that…

强关联电子 · 物理学 2010-12-14 Joseph Maciejko , Xiao-Liang Qi , Andreas Karch , Shou-Cheng Zhang

Topological insulators and superconductors support extended surface states protected against the otherwise localizing effects of static disorder. Specifically, in the Wigner-Dyson insulators belonging to the symmetry classes A, AI, and AII,…