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In this paper we explore the effects of quasiperiodicity in paradigmatic models of Chern insulators. We identify a plethora of topological phase transitions and characterize them based on spectral and localization properties. Contrary to…

无序系统与神经网络 · 物理学 2022-12-16 Tiago S. Gonçalves , Miguel Gonçalves , Pedro Ribeiro , Bruno Amorim

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…

介观与纳米尺度物理 · 物理学 2015-09-03 Eduardo V. Castro , M. Pilar López-Sancho , María A. H. Vozmediano

We derive the expression for the local Hall conductivity for systems that lack translation symmetry and use it to study the local fluctuations of the Hall signal around disordered patches in magnetic insulators. We find that the regime in…

介观与纳米尺度物理 · 物理学 2026-03-11 Zachariah Addison , Nandini Trivedi

Topological Kondo insulators are strongly correlated materials, where itinerant electrons hybridize with localized spins giving rise to a topologically non-trivial band structure. Here we use non-perturbative bosonization and…

强关联电子 · 物理学 2015-06-03 Alejandro M. Lobos , Ariel O. Dobry , Victor Galitski

A definition of topological phases of density matrices is presented. The topological invariants in case of both noninteracting and interacting systems are extended to nonzero temperatures. Influence of electron interactions on topological…

强关联电子 · 物理学 2015-09-03 Damian Zdulski , Krzysztof Byczuk

This paper demonstrates the existence of topological models with gapped edge states but protected extended bulk states against disorder. Such systems will be labeled as trivial by the current classification of topological insulators. Our…

无序系统与神经网络 · 物理学 2010-11-25 Hadassah Shulman , Emil Prodan

We present an effective medium theory that explains the disorder-induced transition into a phase of quantized conductance, discovered in computer simulations of HgTe quantum wells. It is the combination of a random potential and quadratic…

介观与纳米尺度物理 · 物理学 2013-07-09 C. W. Groth , M. Wimmer , A. R. Akhmerov , J. Tworzydło , C. W. J. Beenakker

We investigate the two-leg Hubbard model with diagonal hopping to explore the interplay between geometrical frustration and strong electron-electron interactions. Using the Density Matrix Renormalization Group (DMRG) method, we demonstrate…

强关联电子 · 物理学 2025-04-04 João Pedro Gama D'Elia , Thereza Paiva

Disorder, traditionally believed to hinder the propagation of waves. has recently been shown to prompt the occurrence of topological phase transitions. For example, when disorder strength continuously increases and surpasses certain…

介观与纳米尺度物理 · 物理学 2024-04-24 Aodong Li , Bingcong Xu , Biye Xie

We study topological insulators under dephasing noise. With examples of both a $2d$ Chern insulator and a $3d$ topological insulator protected by time-reversal symmetry, we demonstrate that there is a phase transition at finite dephasing…

强关联电子 · 物理学 2025-11-17 Thomas G. Kiely , Cenke Xu

We uncover the relationship of topology and disorder in a one-dimensional Su-Schrieffer-Heeger chain subjected to a slowly varying quasi-periodic modulation. By numerically calculating the disorder-averaged winding number and analytically…

无序系统与神经网络 · 物理学 2022-07-20 Zhanpeng Lu , Zhihao Xu , Yunbo Zhang

We explore the physics of a Chern insulator subjected to a two step Floquet drive. We analytically obtain the phase diagram and show that the system can exhibit different topological phases characterized by presence and chirality of…

无序系统与神经网络 · 物理学 2016-12-07 Sthitadhi Roy , G. J. Sreejith

We present a complete topological characterization of a bilayer composite of two Chern insulators (specifically, Haldane models) and explicitly establish the bulk-boundary correspondences. We show that an appropriately defined Chern number…

统计力学 · 物理学 2021-06-15 Sourav Bhattacharjee , Souvik Bandyopadhyay , Diptiman Sen , Amit Dutta

Algebraic and geometric mean density of states in disordered systems may reveal properties of electronic localization. In order to understand the topological phases with disorder in two dimensions, we present the calculated density of…

介观与纳米尺度物理 · 物理学 2013-12-02 Yan-Yang Zhang , Shun-Qing Shen

In two-dimensional topological insulators, a disorder induced topological phase transition is typically identified with an Anderson localization transition at the Fermi energy. However, in higher-order, spin-resolved topological insulators…

无序系统与神经网络 · 物理学 2024-03-07 Alexander C. Tyner , Cormac Grindall , J. H. Pixley

A global phase diagram of disordered weak and strong topological insulators is established numerically. As expected, the location of the phase boundaries is renormalized by disorder, a feature recognized in the study of the so-called…

介观与纳米尺度物理 · 物理学 2013-06-14 Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

We study an extended Hubbard model with the nearest-neighbor Coulomb interaction on the pyrochlore lattice at half filling. An interaction-driven insulating phase with nontrivial Z_2 invariants emerges at the Hartree-Fock mean-field level…

强关联电子 · 物理学 2015-05-20 Moyuru Kurita , Youhei Yamaji , Masatoshi Imada

We develop a theory of the correlated magnetically ordered insulating state at the edge of a two-dimensional topological insulator. We demonstrate that the gapped spin-polarized state, induced by the application of the magnetic field $B$,…

强关联电子 · 物理学 2015-03-13 Maxim Kharitonov

We study topological properties and the topological phase transitions therein for a semi-Dirac Haldane model on a honeycomb lattice in presence of an extended range (third neighbour) hopping. While in the absence of a third neighbour…

介观与纳米尺度物理 · 物理学 2022-07-13 Sayan Mondal , Saurabh Basu

The phase transition driven by electron correlations in a Chern insulator is investigated within the dynamical mean-field theory. The Chern insulator is described by the Haldane model and the electron correlations are incorporated by…

强关联电子 · 物理学 2013-12-25 Hong-Son Nguyen , Minh-Tien Tran