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To determine the impact of including edge states on the phase diagram of a spinless Falicov-Kimball model (FKM) on the Haldane lattice, a study of a corresponding ribbon geometry with zigzag edges is conducted. By varying the ribbon widths,…

Strongly Correlated Electrons · Physics 2022-09-05 Jan Skolimowski

We investigate, by means of a field-theory analysis combined with the density-matrix renormalization group (DMRG) method, a theoretical model for a strongly correlated quantum system in one dimension realizing a topologically-ordered…

Strongly Correlated Electrons · Physics 2016-10-17 Franco T. Lisandrini , Alejandro M. Lobos , Ariel O. Dobry , Claudio J. Gazza

We study the behaviour of the Uhlmann connection in systems of fermions undergoing phase transitions. In particular, we analyse some of the paradigmatic cases of topological insulators and superconductors in dimension one, as well as the…

Quantum Physics · Physics 2017-07-12 Bruno Mera , Chrysoula Vlachou , Nikola Paunković , Vítor R. Vieira

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

Nonequilibrium conditions are traditionally seen as detrimental to the appearance of quantum-coherent many-body phenomena, and much effort is often devoted to their elimination. Recently this approach has changed: It has been realized that…

Quantum Gases · Physics 2019-12-02 Moshe Goldstein

Topological quantum phase transitions are characterised by changes in global topological invariants. These invariants classify many body systems beyond the conventional paradigm of local order parameters describing spontaneous symmetry…

Strongly Correlated Electrons · Physics 2015-05-12 A. Amaricci , J. C. Budich , M. Capone , B. Trauzettel , G. Sangiovanni

The Falicov-Kimball model of spinless quantum electrons hopping on a 1-dimensional lattice and of immobile classical ions occupying some lattice sites, with only intrasite coupling between those particles, have been studied at zero…

Condensed Matter · Physics 2015-06-25 Z. Gajek , J. Jedrzejewski , R. Lemanski

We report on a temperature-induced transition from a conventional semiconductor to a two-dimensional topological insulator investigated by means of magnetotransport experiments on HgTe/CdTe quantum well structures. At low temperatures, we…

We study the higher-order topological insulators at finite temperature based on a generalized real-space quadrupole moment, which extends the ground state expectations to ensemble averages. Our study reveals that chiral symmetry alone…

Mesoscale and Nanoscale Physics · Physics 2025-08-04 Yiting Deng , Yan He

We establish the phase diagram of the disordered three-dimensional Bose-Hubbard model at unity filling, which has been controversial for many years. The theorem of inclusions, proven in Ref. [1], states that the Bose glass phase always…

Disordered Systems and Neural Networks · Physics 2010-09-10 V. Gurarie , L. Pollet , N. V. Prokof'ev , B. V. Svistunov , M. Troyer

We investigate the fate of topological states on fractal lattices. Focusing on a spinless chiral p-wave paired superconductor, we find that this model supports two qualitatively distinct phases when defined on a Sierpinski gasket. While the…

Mesoscale and Nanoscale Physics · Physics 2019-10-22 Shriya Pai , Abhinav Prem

Recent experiments on ultracold dipoles in optical lattices open exciting possibilities for the quantum simulation of extended Hubbard models. When considered in one dimension, these models present at unit filling a particularly interesting…

We examine the impact of non-magnetic disorder on the electronic states of a multilayer structure comprising layers of both topological and conventional band insulators. Employing the Burkov-Balents model with renormalized tunneling…

Mesoscale and Nanoscale Physics · Physics 2024-04-25 Z. Z. Alisultanov , A. Kudlis

Topological theories have established a new set of rules that govern the transport properties in a wide variety of wave-mechanical settings. In a marked departure from the established approaches that induce Floquet topological phases by…

The phase structure of 2-dimensional topological insulators under a sufficiently strong electron-electron interaction is investigated. The effective theory is constructed by extending the idea of the Kane-Mele model on the graphenelike…

Strongly Correlated Electrons · Physics 2013-06-05 Yasufumi Araki , Taro Kimura

Motivated by recently reported magnetic-field induced topological phases in ultracold atoms and correlated Moir\'e materials, we investigate topological phase transitions in a minimal model consisting of interacting spinless fermions…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Axel Fünfhaus , Marius Möller , Thilo Kopp , Roser Valentí

Topological states of matter are characterized by global topological invariants which change their value across a topological quantum phase transition. It is commonly assumed that the transition between topologically distinct noninteracting…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 Vladimir Juricic , D. S. L. Abergel , A. V. Balatsky

The topological Anderson and Mott insulators are two phases that have so far been separately and widely explored beyond topological band insulators. Here we combine the two seemingly different topological phases into a system of spin-1/2…

Quantum Gases · Physics 2021-11-10 Guo-Qing Zhang , Ling-Zhi Tang , Ling-Feng Zhang , Dan-Wei Zhang , Shi-Liang Zhu

The properties of a class of topological quantum phase transition (TQPT) are analyzed based on a model proposed by Haldane. We study the effect of finite temperature on this phase transition. We have found that finite temperature would…

Mesoscale and Nanoscale Physics · Physics 2008-09-10 Zi Cai , Shu Chen , Supeng Kou , Yupeng Wang

We calculate thermal transport in the Falicov-Kimball model on an infinite-coordination-number Bethe lattice. We perform numerical calculations of the thermoelectric characteristics and concentrate on finding materials parameters for which…

Strongly Correlated Electrons · Physics 2009-11-10 A. V. Joura , D. O. Demchenko , J. K. Freericks