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We investigate charge pumping in the vicinity of order-obstructed topological phases, i.e. symmetry protected topological phases masked by spontaneous symmetry breaking in the presence of strong correlations. To explore this, we study a…

Strongly Correlated Electrons · Physics 2021-01-27 Jacob Marks , Michael Schüler , Jan C. Budich , Thomas P. Devereaux

We examine the quench dynamics of an extended Su-Schrieffer-Heeger(SSH) model involving long-range hopping that can hold multiple topological phases. Using winding number diagrams to characterize the system's topological phases…

Quantum Physics · Physics 2024-05-03 Anirban Ghosh , Andy M. Martin , Sonjoy Majumder

We investigate the effect of spatially correlated disorder on two-dimensional topological insulators and on the quantum spin Hall effect which the helical edge states in these systems give rise to. Our work expands the scope of previous…

Mesoscale and Nanoscale Physics · Physics 2013-07-15 A. Girschik , F. Libisch , S. Rotter

Topological edge states appear at the interface of topologically distinct two Hermitian insulators. We study the extension of this idea to non-Hermitian systems. We consider PT symmetric and topologically distinct non-Hermitian insulators…

Mesoscale and Nanoscale Physics · Physics 2019-05-21 C. Yuce

We perform both analytical and numerical studies of the one-dimensional tight-binding Hamiltonian with stochastic uncorrelated on-site energies and non-fluctuating long-range hopping integrals . It was argued recently [A. Rodriguez at al.,…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. A. B. F. de Moura , A. V. Malyshev , M. L. Lyra , V. A. Malyshev , F. Dominguez-Adame

We investigate the Su-Schrieffer-Heeger model in presence of an injection and removal of particles, introduced via a master equation in Lindblad form. It is shown that the dynamics of the density matrix follows the predictions of…

Quantum Physics · Physics 2019-01-30 Marcel Klett , Holger Cartarius , Dennis Dast , Jörg Main , Günter Wunner

For the Su-Schrieffer-Heeger (SSH) model on the two-dimensional square lattice, two third nearest neighbor hoppings which preserve chiral symmetry are introduced. Like the case of one dimension, the longer-range hopping can drive…

Strongly Correlated Electrons · Physics 2021-07-28 Tao Du , Yuexu Li , Helin Lu , Hui Zhang

Reentrant localization transitions, that is, the transitions of a portion of the eigenspectrum from localized to critical and then again to localized as the disorder strength is increased, have been recently unveiled in various…

Mesoscale and Nanoscale Physics · Physics 2025-01-29 Thomas F. Allard , Guillaume Weick

We analyze the topological and dynamical properties of a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation hopping. We find that, in the single excitation limit, the…

Quantum Physics · Physics 2022-09-21 Ciaran McDonnell , Beatriz Olmos

We study multilayer topological insulators with random interlayer tunneling, known as off-diagonal disorder. Within the Burkov-Balents model a single Hermitian defect creates a bound state whose energy crosses the middle of the gap in the…

Mesoscale and Nanoscale Physics · Physics 2025-08-01 Z. Z. Alisultanov , A. Kudlis

Topological insulators are a class of band insulators with non-trivial topology, a result of band inversion due to the strong spin-orbit coupling. The transition between topological and normal insulator can be realized by tuning the…

Strongly Correlated Electrons · Physics 2018-03-29 Wenhan Zhang , M. X. Chen , Jixia Dai , Xueyun Wang , Zhicheng Zhong , Sang-Wook Cheong , Weida Wu

Photonic topological edge states in one-dimensional dimer chains have long been thought to be robust to structural perturbations by mapping the topological Su-Schrieffer-Heeger model of a solid-state system. However, the edge states at the…

Applied Physics · Physics 2020-07-10 Zhiwei Guo , Tengzhou Zhang , Juan Song , Haitao Jiang , Hong Chen

We study two-particle states in a Su-Shrieffer-Heeger (SSH) chain with periodic boundary conditions and nearest-neighbor (NN) interactions. The system is mapped into a problem of a single particle in a two-dimensional (2D) SSH lattice with…

Strongly Correlated Electrons · Physics 2018-07-05 A. M. Marques , R. G. Dias

It is known that a two dimensional dimerized Su-Schrieffer-Heeger model can produce a nontrivial topological phase. It is a simple nearest-neighbor model with either two or four lattice sites in in two dimensions. Su-Schrieffer-Heeger model…

Materials Science · Physics 2023-11-10 Chani Stella van Niekerk , Robert Warmbier

Flat, non-dispersive bands and topological phase transition in multiple Su-Schrieffer-Heeger (SSH) chains, cross-linked via periodically arranged nodal points are explored within a tight binding framework. We give analytic prescription,…

Mesoscale and Nanoscale Physics · Physics 2024-11-20 Sauvik Chatterjee , Sougata Biswas , and Arunava Chakrabarti

A tunnel junction between helical edge states, realized via a constriction in a Quantum Spin Hall system, can be exploited to steer both charge and spin current into various terminals. We investigate the effects of disorder on the…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 Pietro Sternativo , Fabrizio Dolcini

A dimerized chain of dipolar emitters strongly coupled to a multimode optical waveguide cavity is studied. By integrating out the photonic degrees of freedom of the cavity, the system is recast in a two-band model with an effective…

Mesoscale and Nanoscale Physics · Physics 2023-12-20 Thomas F. Allard , Guillaume Weick

The entanglement entropy can be an effective diagnostic tool for probing topological phase transitions. In one-dimensional single particle systems, the periodic driving generates a variety of topological phases and edge modes. In this work,…

Quantum Physics · Physics 2026-01-07 Siyuan Cheng , Rui Xie , Xiaosen Yang , Yuee Xie , Yuanping Chen

In this work, we present a theory for topological phases for quantum systems on tree graphs. Conventionally, topological phases of matter have been studied in regular lattices, but also in quasicrystals and amorphous settings. We consider…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Alex Westström , Wenbu Duan , Kangpei Yao , Xiaonan Wang , Jie Liu , Jian Li

The coexistence of edge states and skin effects provides the topologically protected localized states at the corners of two-dimensional systems. In this paper, we realize such corner states in the two-dimensional Su-Schrieffer-Heeger model…

Mesoscale and Nanoscale Physics · Physics 2024-05-28 Hiromasa Wakao