English
Related papers

Related papers: Two-dimensional non-Hermitian Su-Schrieffer-Heeger…

200 papers

The multipartite non-Hermitian Su-Schrieffer-Heeger model is explored as a prototypical example of one-dimensional systems with several sublattice sites for unveiling intriguing insulating and metallic phases with no Hermitian counterparts.…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Ritu Nehra , Dibyendu Roy

The Su-Schrieffer-Heeger (SSH) model describes a finite one-dimensional dimer lattice with first-neighbour hoppings populated by non-interacting electrons. In this work we study a generalization of the SSH model including longer-range…

Mesoscale and Nanoscale Physics · Physics 2018-10-05 Beatriz Pérez-González , Miguel Bello , Álvaro Gómez-León , Gloria Platero

Topological insulators are a new class of materials that have attracted significant attention in contemporary condensed matter physics. They are different from the regular insulators and they display novel quantum properties that also…

Mesoscale and Nanoscale Physics · Physics 2020-06-19 Navketan Batra , Goutam Sheet

We consider an extended trimer Su-Schrieffer-Heeger (SSH) tight-binding Hamiltonian keeping up to next-nearest-neighbor (NNN) hopping terms and on-site potential energy. The Bloch Hamiltonian can be expressed in terms of all the eight…

Mesoscale and Nanoscale Physics · Physics 2024-09-20 Sonu Verma , Tarun Kanti Ghosh

The Su-Schrieffer-Heeger (SSH) model, a prime example of a one-dimensional topologically nontrivial insulator, has been extensively studied in flat space-time. In recent times, many studies have been conducted to understand the properties…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Priyanuj Rajbongshi , Ranjan Modak

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

Topological phase transitions are found in a variety of systems and were shown to be deeply related with a thermodynamic description through scaling relations. Here, we investigate the entanglement entropy, which is a quantity that captures…

Quantum Physics · Physics 2025-02-03 D. F. Munoz-Arboleda , R. Arouca , C. Morais Smith

The Su-Schrieffer-Heeger (SSH) model on a two-dimensional square lattice has been considered as a significant platform for studying topological multipole insulators. However, due to the highly-degenerate bulk energy bands protected by $…

Mesoscale and Nanoscale Physics · Physics 2021-03-16 Zhang-Zhao Yang , An-Yang Guan , Wen-Jie Yang , Xin-Ye Zou , Jian-Chun Cheng

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

We study interaction-driven quantum phases in a two-dimensional generalized Su-Schrieffer-Heeger (SSH) defined on a square lattice with inequivalent nearest-neighbor hopping, next-nearest-neighbor hopping and a staggered on-site potential.…

Strongly Correlated Electrons · Physics 2025-09-09 Rahul Ghosh

We study the interplay of spontaneous symmetry breaking and topological properties in interacting one-dimensional models. We solve these models using bozonization and identify topologically non-trivial phases by counting the additional…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Polina Matveeva , Dmitri Gutman , Sam T. Carr

We study a model consisting of a central $\mathcal{PT}$-symmetric trimer with non-Hermitian strength parameter $\gamma$ coupled to two semi-infinite Su-Schrieffer-Heeger (SSH) leads. We show the existence of two zero-energy modes, one of…

Quantum Physics · Physics 2021-12-30 Savannah Garmon , Kenichi Noba

Unlike a Chern number in $2$D and $3$D topological system, Zak phase takes a subtle role to characterize the topological phase in $1$D. On the one hand, it is not a gauge invariant, on the other hand, the Zak phase difference between two…

Quantum Physics · Physics 2019-01-23 X. Z. Zhang , Z. Song

We systematically investigate the finite-size effects in non-Hermitian one-dimensional (1D) Su-Schrieffer-Heeger (SSH) and two-dimensional (2D) Chern insulator models. Using a combination of analytical and numerical calculations, we show…

Mesoscale and Nanoscale Physics · Physics 2019-04-30 Rui Chen , Chui-Zhen Chen , Bin Zhou , Dong-Hui Xu

It is well known that inversion symmetry in one-dimensional (1D) systems leads to the quantization of the geometric Zak phase to values of either 0 or {\pi}. When the system has particle-hole symmetry, this topological property ensures the…

Mesoscale and Nanoscale Physics · Physics 2017-04-20 Yi-Xin Xiao , Zhao-Qing Zhang , C. T. Chan

In polymer science, cross-linking of polymer chains yields a substantially modified system compared to the one-dimensional constituent chains, due to the increase of dimensionality and effective seeding by defects (cross-linking sites).…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 A. Sivan , M. Orenstein

We analyze the topological properties of a family of generalized Su-Schrieffer-Heeger (SSH) chains and mesh geometries. In both the geometries the usual staggering in the distribution of the two overlap integrals is delayed (in space) by…

Mesoscale and Nanoscale Physics · Physics 2024-05-15 Sougata Biswas , Arunava Chakrabarti

Two-dimensional (2D) model of a weak topological insulator with $N$-stacked Su-Schrieffer-Heeger (SSH) chain is studied. This study starts with a basic model with all the fundamental symmetries (chiral, time-reversal, and particle-hole)…

Strongly Correlated Electrons · Physics 2023-09-06 Aayushi Agrawal , Jayendra N. Bandyopadhyay

A remarkable feature of the trimer Su-Schrieffer-Heeger (SSH3) model is that it supports localized edge states. Although Zak's phase remains quantized for the case of a mirror-symmetric chain, it is known that it fails to take integer…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 Adamantios Anastasiadis , Georgios Styliaris , Rajesh Chaunsali , Georgios Theocharis , Fotios K. Diakonos

Su-Schrieffer-Heeger (SSH) chains are paradigmatic examples of 1D topological insulators hosting zero-energy edge modes when the bulk of the system has a non-zero topological winding invariant. Recently, high-harmonic spectroscopy has been…