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For two-dimensional Lieb lattice, while intrinsic spin-orbit coupling is responsible for opening the gap that exhibits the quantum spin Hall effect, topological phase transitions are driven by a real next-nearest-neighbor (NNN) hopping. In…

无序系统与神经网络 · 物理学 2026-01-19 Yue Heng Liu , Zi-Xiang Hu , Qi Li

We present a general recipe to describe topological phase transitions in condensed matter systems with interactions. We show that topological invariants in the presence of interactions can be efficiently calculated by means of a…

材料科学 · 物理学 2025-08-07 S. S. Krishtopenko , A. V. Ikonnikov , F. Hartmann , S. Höfling , B. Jouault , F. Teppe

We critically analyze the possibility of finding signatures of a phase transition by looking exclusively at static quantities of statistical systems, like e.g., the topology of potential energy sub-manifolds (PES). This topological…

统计力学 · 物理学 2009-11-10 Ana C. Ribeiro Teixeira , D. A. Stariolo

Growing network models with both heterogeneity of the nodes and topological constraints can give rise to a rich phase structure. We present a simple model based on preferential attachment with rewiring of the links. Rewiring probabilities…

无序系统与神经网络 · 物理学 2014-04-23 Luca Ferretti , Marcello Mamino , Ginestra Bianconi

We investigate the topological properties of hardcore bosons possessing nearest-neighbor repulsive interactions on a two-leg ladder. We show that by allowing nearest neighbour dimerized interactions instead of hopping dimerization, the…

量子气体 · 物理学 2024-10-08 Rajashri Parida , Ashirbad Padhan , Tapan Mishra

In this work we study a one-dimensional lattice of Lipkin-Meshkov-Glick models with alternating couplings between nearest-neighbors sites, which resembles the Su-Schrieffer-Heeger model. Typical properties of the underlying models are…

介观与纳米尺度物理 · 物理学 2016-10-12 A. V. Sorokin , M. Aparicio Alcalde , V. M. Bastidas , G. Engelhardt , D. G. Angelakis , T. Brandes

Topological defects in low-dimensional non-linear systems feature a sliding-to-pinning transition of relevance for a variety of research fields, ranging from biophysics to nano- and solid-state physics. We find that the dynamics after a…

量子物理 · 物理学 2020-08-12 L. Timm , H. Weimer , L. Santos , T. E. Mehlstäubler

We examine the transition from trivial to non-trivial phases in a Su-Schrieffer-Heeger model subjected to disorder in a quasi-periodic environment. We analytically determine the phase boundary, and characterize the localization of normal…

统计力学 · 物理学 2025-12-09 Sayan Sircar

We discover novel topological effects in the one-dimensional Kitaev chain modified by long-range Hamiltonian deformations in the hopping and pairing terms. This class of models display symmetry-protected topological order measured by the…

强关联电子 · 物理学 2016-09-20 O. Viyuela , D. Vodola , G. Pupillo , M. A. Martin-Delgado

Topological phases exhibit a plethora of striking phenomena including disorder-robust localization and propagation of waves of various nature. Of special interest are the transitions between the different topological phases which are…

We study quantum phase transitions between competing orders in one-dimensional spin systems. We focus on systems that can be mapped to a dual-field double sine-Gordon model as a bosonized effective field theory. This model contains two…

强关联电子 · 物理学 2018-11-29 Shintaro Takayoshi , Shunsuke C. Furuya , Thierry Giamarchi

A salient feature of topological phases are surface states and many of the widely studied physical properties are directly tied to their existence. Although less explored, a variety of topological phases can however similarly be…

介观与纳米尺度物理 · 物理学 2021-08-11 Toshikaze Kariyado , Robert-Jan Slager

Higher-order topological crystalline phases in low-dimensional interacting quantum systems represent a challenging and largely unexplored research topic. Here, we derive a Hamiltonian describing fermions interacting through correlated…

强关联电子 · 物理学 2023-01-04 A. Montorsi , U. Bhattacharya , Daniel González-Cuadra , M. Lewenstein , G. Palumbo , L. Barbiero

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…

介观与纳米尺度物理 · 物理学 2026-01-22 Marwa Mannai , Yaoyao Shu , Sonia Haddad , Mina Ren , Hong Chen , Yong Sun , Hisham Sati

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…

介观与纳米尺度物理 · 物理学 2018-10-05 Beatriz Pérez-González , Miguel Bello , Álvaro Gómez-León , Gloria Platero

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…

强关联电子 · 物理学 2018-07-05 A. M. Marques , R. G. Dias

The appearance of topological effects in systems exhibiting a non-trivial topological band structure strongly relies on the coherent wave nature of the equations of motion. Here, we reveal topological dynamics in a classical stochastic…

量子物理 · 物理学 2018-03-08 G. Engelhardt , M. Benito , G. Platero , G. Schaller , T. Brandes

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)…

强关联电子 · 物理学 2023-09-06 Aayushi Agrawal , Jayendra N. Bandyopadhyay

Finding new topological materials and understanding the physical essence of topology are crucial problems for researchers. We studied the topological property based on several proposed Su-Schrieffer-Heeger (SSH) related models. We show that…

强关联电子 · 物理学 2019-05-29 Yan-Chao Li , Jing Zhang , Hai-Qing Lin

We investigate topological phases induced by a driven electric field coupled to a dimer chain (a model for poly-acetylene) at high frequency regime. It is shown how the topological invariant of the system can be controlled by the field…

介观与纳米尺度物理 · 物理学 2017-09-19 Fatemeh Askari Shahid , Hosein Cheraghchi