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The anomalous surface states of symmetry protected topological (SPT) phases are usually thought to be only possible in conjunction with the higher dimensional topological bulk. However, it has recently been realized that a class of…

Strongly Correlated Electrons · Physics 2017-12-29 Andrew C. Potter , Chong Wang , Max A. Metlitski , Ashvin Vishwanath

We describe a protocol to read out the topological invariant of interacting 1D chiral models, based on measuring the mean chiral displacement of time-evolving bulk excitations. We present analytical calculations and numerical Matrix Product…

Quantum Gases · Physics 2020-08-06 Andreas Haller , Pietro Massignan , Matteo Rizzi

Two-dimensional (2D) topological insulators (TIs), also known as quantum spin Hall (QSH) insulators, are excellent candidates for coherent spin transport related applications because the edge states of 2D TIs are robust against nonmagnetic…

Materials Science · Physics 2023-07-19 Wei Luo , Hongjun Xiang

We have applied the recently developed theory of topological Uhlmann numbers to a representative model of a topological insulator in two dimensions, the Qi-Wu-Zhang model. We have found a stable symmetry-protected topological (SPT) phase…

Strongly Correlated Electrons · Physics 2015-07-01 O. Viyuela , A. Rivas , M. A. Martin-Delgado

We consider weak topological insulators with a twofold rotation symmetry around the dark direction, and show that these systems can be endowed with the topological crystalline structure of a higher-order topological insulator protected by…

Mesoscale and Nanoscale Physics · Physics 2020-08-04 Sander H. Kooi , Guido van Miert , Carmine Ortix

We propose two kinds of distinguishing parameter regimes to induce topological Su-Schrieffer-Heeger (SSH) phase in a one dimensional (1D) multi-resonator cavity optomechanical system via modulating the frequencies of both cavity fields and…

Quantum Physics · Physics 2020-05-20 Lu Qi , Yan Xing , Shutian Liu , Shou Zhang , Hong-Fu Wang

In analogous to the Su-Schrieffer-Heeger (SSH) model, one-dimensional (1D) electromagnetic (EM) crystals can exhibit nontrivial topological properties. In particular, when a nontrivial EM crystal is in contact with its trivial counterpart,…

Optics · Physics 2023-01-11 C. Liu , H. C. Ong

This study explores the ground-state phase diagram and topological properties of the spinless 1D Su-Schrieffer-Heeger (SSH) model with nearest-neighbor (NN) interactions at quarter filling. We analyze key physical quantities such as the…

Strongly Correlated Electrons · Physics 2025-12-11 Yan-Xiao Wang , Yin Zhong

This paper experimentally investigates topologically protected edge modes in a water wave channel through a direct geometric mapping to the one-dimensional Su-Schrieffer-Heeger (SSH) model. By designing a periodic channel with alternating…

In this work, we experimentally report the acoustic realization the two-dimensional (2D) Su-Schrieffer-Heeger (SSH) model in a simple network of air channels. We analytically study the steady state dynamics of the system using a set of…

Classical Physics · Physics 2019-09-18 Li-Yang Zheng , Vassos Achilleos , Olivier Richoux , Georgios Theocharis , Vincent Pagneux

The ground state of translationally-invariant insulators comprise bands which can assume topologically distinct structures. There are few known examples where this distinction is enforced by a point-group symmetry alone. In this paper we…

Strongly Correlated Electrons · Physics 2014-04-15 A. Alexandradinata , Xi Dai , B. Andrei Bernevig

In order to transport information with topological protection, we explore experimentally the fast transport time using edge states in one-dimensional Su-Schrieffer-Heeger (SSH) chains. The transport time is investigated in both one- and…

In two-dimensional systems with space-time inversion symmetry, such as $C_{2z}T$, the reality condition on wave functions gives rise to real band topology characterized by the Euler class, a $\mathbb{Z}$-valued topological invariant for a…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 Yutaro Tanaka , Shingo Kobayashi

Working in the context of the Su-Schreiffer-Heeger (SSH) model, the effect of topological transitions on the structure and properties of bulk position-space wavefunctions is studied for a particle undergoing a quantum walk in a…

Quantum Physics · Physics 2018-08-31 David S. Simon , Shuto Osawa , Alexander V. Sergienko

Chirality, a fundamental concept from biological molecules to advanced materials, is prevalent in nature. Yet, its intricate behavior in specific topological systems remains poorly understood. Here, we investigate the emergence of hidden…

Mesoscale and Nanoscale Physics · Physics 2023-11-17 Seung-Gyo Jeong , Sang-Hoon Han , Tae-Hwan Kim , Sangmo Cheon

We study the parity- and time-reversal PT symmetric non-Hermitian Su-Schrieffer-Heeger (SSH) model with two conjugated imaginary potentials $\pm i\gamma $ at two end sites. The SSH model is known as one of the simplest two-band topological…

Other Condensed Matter · Physics 2014-06-11 Baogang Zhu , Rong Lu , Shu Chen

We show that spin-singlet $s$-wave multi-band superconductors have a topological phase protected by rotation symmetry and time-reversal symmetry without spin-orbit coupling in two and three dimensions. This topological phase, an example of…

Superconductivity · Physics 2024-10-08 Shingo Kobayashi , Akira Furusaki

The evolution of the physical properties of two-dimensional material from monolayer limit to the bulk reveals unique consequences from dimension confinement and provides a distinct tuning knob for applications. Monolayer 1T'-phase…

Topological insulators hold promises to realize exotic quantum phenomena in electronic, photonic, and phononic systems. Conventionally, topological indices, such as winding numbers, have been used to predict the number of topologically…

Materials Science · Physics 2023-11-22 Amir Rajabpoor Alisepahi , Siddhartha Sarkar , Kai Sun , Jihong Ma

In investigating the topological electronic structures of monolayer $\alpha$-phase group V elements, we uncover a new topological phase, which is invisible in the symmetry-based topological quantum chemistry (TQC) as well as symmetry…

Mesoscale and Nanoscale Physics · Physics 2022-02-10 Baokai Wang , Xiaoting Zhou , Yen-Chuan Lin , Hsin Lin , Arun Bansil