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One-dimensional topological Anderson insulators provide a paradigm for disorder-induced topological phases in which the underlying system turns from a trivial to a topological phase. It is widely recognized that the latter vanishes at large…

Mesoscale and Nanoscale Physics · Physics 2026-01-22 Marwa Mannai , Yaoyao Shu , Sonia Haddad , Mina Ren , Hong Chen , Yong Sun , Hisham Sati

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…

Strongly Correlated Electrons · Physics 2015-06-03 Alejandro M. Lobos , Ariel O. Dobry , Victor Galitski

We study the topological phases in spin-orbit coupled dipolar bosons in a one-dimensional optical lattice. The magnetic dipolar interactions between atoms give rise to the inter-site interactions. In the Mott-insulating regime, this system…

Quantum Gases · Physics 2014-12-02 H. T. Ng

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…

Strongly Correlated Electrons · Physics 2015-09-03 Damian Zdulski , Krzysztof Byczuk

Searching for topological insulators in solids is one of the main issues of modern condensed matter physics since robust gapless edge or surface states of the topological insulators can be used as building blocks of next-generation devices.…

Strongly Correlated Electrons · Physics 2023-08-24 Takahiro Misawa , Makoto Naka

The hallmark property of two-dimensional topological materials is the incredible robustness of the quantized Hall conductivity to disorder. That robustness arises from the fact that in the topological band gap, transport can occur only…

We investigate the scattering and localization properties of edge and bulk states in a disordered two-dimensional topological insulator when they coexist at the same fermi energy. Due to edge-bulk backscattering (which is not prohibited…

Mesoscale and Nanoscale Physics · Physics 2014-08-26 Yan-Yang Zhang , Man Shen , Xing-Tao An , Qing-Feng Sun , Xin-Cheng Xie , Kai Chang , Shu-Shen Li

Disorder, which is ubiquitous in nature, has been extensively explored in photonics for understanding the fundamental principles of light diffusion and localization, as well as for applications in functional resonators and random lasers.…

Characterizing topological phases for strongly interacting fermions in the mixed-state regime remains a major challenge. Here we introduce a general and numerically efficient framework to diagnose mixed-state topological phases in strongly…

Strongly Correlated Electrons · Physics 2025-11-25 Shao-Hang Shi , Xiao-Qi Sun , Zi-Xiang Li

Recently, the impact of disorder on topological properties has attracted significant attention in photonics, especially the intriguing disorder-induced topological phase transitions in photonic topological Anderson insulators (PTAIs).…

Optics · Physics 2025-01-22 Zhe Li , Ziming Chen , Deyang Kong , Yongzhuo Li , Kaiyu Cui , Xue Feng , Yidong Huang

We analyze the possible existence of topological phases in two-legged spin ladders considering a staggered interaction in both chains. When the staggered interaction in one chain is shifted by one site with respect to the other chain, the…

Strongly Correlated Electrons · Physics 2020-02-18 Greta Ghelli , Giuseppe Magnifico , Cristian Degli Esposti Boschi , Elisa Ercolessi

The discovery of topological insulators in non-interacting electron systems has motivated the community to search such topological states of matter in correlated electrons both theoretically and experimentally. In this paper we investigate…

Strongly Correlated Electrons · Physics 2013-05-30 Minh-Tien Tran , Tetsuya Takimoto , Ki-Seok Kim

The phase diagram of correlated, disordered electrons is calculated within dynamical mean--field theory using the geometrically averaged (''typical'') local density of states. Correlated metal, Mott insulator and Anderson insulator phases,…

Strongly Correlated Electrons · Physics 2009-11-10 Krzysztof Byczuk , Walter Hofstetter , Dieter Vollhardt

The discovery of the quantum spin Hall effect and topological insulators more than a decade ago has revolutionized modern condensed matter physics. Today, the field of topological states of matter is one of the most active and fruitful…

Strongly Correlated Electrons · Physics 2018-10-24 Stephan Rachel

The interplay between non-trivial band topology and strong electronic correlations is a central challenge in modern condensed matter physics. We investigate this competition on a two-leg ladder model with a p-wave-like hybridisation between…

Strongly Correlated Electrons · Physics 2025-11-13 Aminul Hussain , Nisa Ara , Rudranil Basu , Sudeshna Sen

Systems of strongly interacting particles, fermions or bosons, can give rise to topological phases that are not acessible to non-interacting systems. Many such interaction-enabled topological phases have been discussed theoretically but few…

Strongly Correlated Electrons · Physics 2015-12-30 Ching-Kai Chiu , D. I. Pikulin , M. Franz

Topological Kondo insulators are a rare example of an interaction-enabled topological phase of matter in three-dimensional crystals - making them an intriguing but also hard case for theoretical studies. Here, we aim to advance their…

Strongly Correlated Electrons · Physics 2020-04-29 Michael Klett , Seulgi Ok , David Riegler , Peter Wölfle , Ronny Thomale , Titus Neupert

Topological behavior can be masked when disorder is present. A topological insulator, either intrinsic or interaction induced, may turn gapless when sufficiently disordered. Nevertheless, the metallic phase that emerges once a topological…

Mesoscale and Nanoscale Physics · Physics 2013-04-03 Julia S. Meyer , Gil Refael

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 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