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Topological insulators are a class of electronic materials exhibiting robust edge states immune to perturbations and disorder. This concept has been successfully adapted in photonics, where topologically nontrivial waveguides and…

We investigate the emergence of charge waves and their temporal dynamics in one-dimensional Su-Schrieffer-Heeger (SSH) topological chains. Contrary to the conventional view that charge oscillations are suppressed in gapped topological…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Tomasz Kwapinski , Marcin Kurzyna , Luis E. F. Foa Torres

We derive an effective Hamiltonian for the one-dimensional Hubbard-Holstein model, valid in a regime of both strong electron-electron (e-e) and electron-phonon (e-ph) interactions and in the non-adiabatic limit ($t/\omega_0 \leq 1$), by…

Strongly Correlated Electrons · Physics 2015-05-20 Sahinur Reja , Sudhakar Yarlagadda , Peter B. Littlewood

The realization of novel phases of matter on quantum simulators is a topic of intense interest. Digital quantum computers offer a route to prepare topological phases with interactions that do not naturally arise in analog quantum…

It has been shown recently that inhomogenous spin chains can exhibit exotic phenomena such as the breaking of the area law of the entanglement entropy. An example is given by the rainbow model where the exchange coupling constants decrease…

Strongly Correlated Electrons · Physics 2022-11-17 Nadir Samos Sáenz de Buruaga , Silvia N. Santalla , Javier Rodríguez-Laguna , Germán Sierra

We study the Su-Schrieffer-Hegger model, perhaps the simplest realization of a topological insulator, in the presence of an embedded impurity superlattice. We consider the impact of the said impurity by changing the hopping amplitudes…

Materials Science · Physics 2024-02-09 Julio César Pérez-Pedraza , José Eduardo Barrios-Vargas , Alfredo Raya

In this work, we theoretically study a modified Su-Schrieffer-Heeger (SSH) model in which each unit cell consists of three sites. Unlike existing extensions of the SSH model which are made by enlarging the periodicity of the…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 Mohammad Ghuneim , Raditya Weda Bomantara

In this work, we present a collection of three-dimensional higher-order symmetry protected topological phases (HOSPTs) with gapless hinge modes that exist only in strongly interacting systems subject to subsystem symmetry constraints. We…

Strongly Correlated Electrons · Physics 2022-06-29 Julian May-Mann , Yizhi You , Taylor L. Hughes , Zhen Bi

Topological insulator lie at the forefront of condensed matter physics. However strong disorder can destroy the topological states and make all states become localized. In this paper, we investigate the competition between topology and…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Xin Guan , Gang Chen

We explore topology-localization phase diagram by simulating one-dimensional Su-Schrieffer-Heeger (SSH) model with quasiperiodic disorder using a programmable superconducting simulator. We experimentally map out and identify various trivial…

We simulate the the Su-Schrieffer-Heeger (SSH) model using Rydberg-atom synthetic dimensions constructed, in a single atom, from a ladder of six neighboring $n\:^3S_1$ Rydberg states in which adjacent states are coupled with two-photon…

Quantum Physics · Physics 2024-04-30 Yi Lu , Chuanyu Wang , Soumya K. Kanungo , F. Barry Dunning , Thomas C. Killian

Symmetry protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry G. They can all be smoothly connected to the same trivial product state if we break the symmetry. The Haldane phase of spin-1 chain…

Strongly Correlated Electrons · Physics 2013-09-03 Xie Chen , Zheng-Cheng Gu , Zheng-Xin Liu , Xiao-Gang Wen

Motivated by recent advances in fabricating artificial lattices in semiconductors and their promise for quantum simulation of topological materials, we study the one-dimensional dimerized Fermi-Hubbard model. We show how the topological…

Mesoscale and Nanoscale Physics · Physics 2020-02-18 Nguyen H. Le , Andrew J. Fisher , Neil J. Curson , Eran Ginossar

Topological properties of quantum systems could provide protection of information against environmental noise, and thereby drastically advance their potential in quantum information processing. Most proposals for topologically protected…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Péter Boross , János K. Asbóth , Gábor Széchenyi , László Oroszlány , András Pályi

We study the interplay between topological and conventional long range order of attractive fermions in a time reversal symmetric Hofstadter lattice using quantum Monte Carlo simulations, focussing on the case of one-third flux quantum per…

Strongly Correlated Electrons · Physics 2014-11-11 Lei Wang , Hsiang-Hsuan Hung , Matthias Troyer

We investigate a spinless Fermi gas trapped in a honeycomb optical lattice with attractive nearest-neighbor interactions. At zero temperature, mean-field theory predicts three quantum phase transitions, two being topological. At low…

Quantum Gases · Physics 2015-05-19 Dario Poletti , Christian Miniatura , Benoit Gremaud

We discuss the existence of a nontrivial topological phase in one-dimensional interacting systems described by the extended Bose-Hubbard model with a mean filling of one boson per site. Performing large-scale density-matrix renormalization…

Quantum Gases · Physics 2014-07-11 Satoshi Ejima , Florian Lange , Holger Fehske

Conventionally the occurrence of topological phase transitions (TPTs) requires gap closing, whereas there are also unconventional cases without need of gap closing. Although traditionally TPTs lie in many-body systems in condensed matter,…

Quantum Physics · Physics 2022-07-05 Zu-Jian Ying

The interplay of topology, disorder, and non-Hermiticity gives rise to phenomena beyond the conventional classification of quantum phases. We propose a one-dimensional non-Hermitian Su-Schrieffer-Heeger model with quasiperiodically…

Disordered Systems and Neural Networks · Physics 2026-05-14 Qi-Bo Zeng , Rong Lü

Distinguishing the nontrivial symmetry-protected topological (SPT) phase from the trivial insulator phase in the presence of electron-electron interaction is an urgent question to the study of topological insulators, due to the fact that…

Strongly Correlated Electrons · Physics 2015-10-26 Han-Qing Wu , Yuan-Yao He , Yi-Zhuang You , Cenke Xu , Zi Yang Meng , Zhong-Yi Lu
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