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Anderson localization, the absence of diffusive transport in disordered systems, has been manifested as hopping transport in numerous electronic systems, whereas in recently discovered topological insulators it has not been directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jian Liao , Yunbo Ou , Xiao Feng , Shuo Yang , Chaojing Lin , Wenmin Yang , Kehui Wu , Ke He , Xucun Ma , Qi-Kun Xue , Yongqing Li

We consider the dynamics of an electron in an infinite disordered metallic wire. We derive exact expressions for the probability of diffusive return to the starting point in a given time. The result is valid for wires with or without…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 E. Khalaf , P. M. Ostrovsky

The disorder effects on higher-order topological phases in periodic systems have attracted much attention. However, in aperiodic systems, such as quasicrystalline systems, the interplay between disorder and higher-order topology is still…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 Tan Peng , Chun-Bo Hua , Rui Chen , Zheng-Rong Liu , Dong-Hui Xu , Bin Zhou

We study theoretically the competition between directional asymmetric coupling and disorder in a one-dimensional array of quantum emitters chirally coupled through a waveguide mode. Our calculation reveals highly nontrivial phase diagram…

Disordered Systems and Neural Networks · Physics 2022-10-11 G. Fedorovich , D. Kornovan , A. Poddubny , M. Petrov

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…

Mesoscale and Nanoscale Physics · Physics 2026-02-11 Mina Ren , Xi Shi , Haitao Jiang , Feng Liu , Hong Chen , Yong Sun

Disorder is ubiquitous in quantum materials, and its interplay with topology can generate phases absent in the clean limit. Using the Haldane model as a minimal setting, we show that disorder not only shifts topological boundaries but also…

We investigate the possibility of using structural disorder to induce a topological phase in a solid state system. Using first-principles calculations, we introduce structural disorder in the trivial insulator BiTeI and observe the…

Materials Science · Physics 2021-06-30 Paul Corbae , Frances Hellman , Sinead M. Griffin

We study the disorder effect on the transport properties in the HgTe/CdTe semiconductor quantum wells. We confirm that at a moderate disorder strength, the initially un-quantized two terminal conductance becomes quantized, and the system…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Hua Jiang , Lei Wang , Qing-feng Sun , X. C. Xie

We have found the first instance of a third-order topological Anderson insulator (TOTAI). This disorder-induced topological phase is gapped and characterized by a quantized octupole moment and topologically protected corner states, as…

Disordered Systems and Neural Networks · Physics 2024-09-19 Hugo Lóio , Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro

Recently, the structural disorder-induced topological phase transitions in periodic systems have attracted much attention. However, in aperiodic systems such as quasicrystalline systems, the interplay between structural disorder and band…

Mesoscale and Nanoscale Physics · Physics 2024-08-08 Tan Peng , Yong-Chen Xiong , Chun-Bo Hua , Zheng-Rong Liu , Xiaolu Zhu , Wei Cao , Fang Lv , Yue Hou , Bin Zhou , Ziyu Wang , Rui Xiong

We study one-dimensional disordered fermions that either undergo metal-insulator transitions or topological phase transitions to become trivial Anderson insulators. We focus on using entanglement to elucidate how the spatial, momentum, and…

Disordered Systems and Neural Networks · Physics 2014-10-01 Ian Mondragon-Shem , Taylor L. Hughes

We use a superspin Hamiltonian defined on an infinite-dimensional Fock space with positive definite scalar product to study localization and delocalization of noninteracting spinless quasiparticles in quasi-one-dimensional quantum wires…

Disordered Systems and Neural Networks · Physics 2009-10-02 Andreas P. Schnyder , Christopher Mudry , Ilya A. Gruzberg

We analyze the influence of disorder and strong correlations on the topology in two dimensional Chern insulators. A mean field calculation in the half-filled Haldane model with extended Hubbard interactions and Anderson disorder shows that…

Strongly Correlated Electrons · Physics 2024-09-19 Joao S. Silva , Eduardo V. Castro , Rubem Mondaini , María A. H. Vozmediano , M. Pilar López-Sancho

We explore the interplay of disorder and topological phenomena in honeycomb lattices of atoms coupled by the electromagnetic field. On the one hand, disorder can trigger transitions between distinct topological phases and drive the lattice…

Quantum Physics · Physics 2022-04-22 S. E. Skipetrov , P. Wulles

We describe a protocol to read out the topological invariant of interacting 1D chiral models, based on measuring the mean chiral displacement of time-evolving bulk excitations. We present analytical calculations and numerical Matrix Product…

Quantum Gases · Physics 2020-08-06 Andreas Haller , Pietro Massignan , Matteo Rizzi

Motivated by the recent experimental realization of the topological Anderson insulator and research interest on the topological quasicrystal lattices, we investigate the effects of disorder on topological properties of a two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2019-09-30 Rui Chen , Dong-Hui Xu , Bin Zhou

We investigate disorder-driven topological phase transitions in quantized electric quadrupole insulators. We show that chiral symmetry can protect the quantization of the quadrupole moment $q_{xy}$, such that the higher-order topological…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Chang-An Li , Bo Fu , Zi-Ang Hu , Jian Li , Shun-Qing Shen

We study the electronic transport properties of the Anderson model on a strip, modeling a quasi one-dimensional disordered quantum wire. In the literature, the standard description of such wires is via random matrix theory (RMT). Our…

Mathematical Physics · Physics 2015-06-04 Sven Bachmann , Maximilian Butz , Wojciech De Roeck

We study the transition between the two-dimensional topological insulator (TI) featuring quantized edge conductance and the trivial Anderson insulator (AI) induced by strong disorder. We discover a distinct scaling behavior of TI near the…

Mesoscale and Nanoscale Physics · Physics 2022-10-11 DinhDuy Vu , Sankar Das Sarma

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…

Mesoscale and Nanoscale Physics · Physics 2024-04-24 Aodong Li , Bingcong Xu , Biye Xie