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Berry phases and the quantum-information theoretic notion of fidelity have been recently used to analyze quantum phase transitions from a geometrical perspective. In this paper we unify these two approaches showing that the underlying…

量子物理 · 物理学 2007-12-10 Lorenzo Campos Venuti , Paolo Zanardi

We study the topological properties of the generalized two-dimensional (2D) Su-Schrieffer-Heeger (SSH) models. We show that a pair of Dirac points appear in the Brillouin zone (BZ), consisting a semimetallic phase. Interestingly, the…

介观与纳米尺度物理 · 物理学 2022-08-09 Chang-An Li

This article studies a non-Hermitian Su-Schrieffer-Heeger (SSH) model which has periodically staggered Hermitian and non-Hermitian dimers. The changes in topological phases of the considered chiral symmetric model with respect to the…

量子物理 · 物理学 2024-12-30 A Niveth , S Karthiga , M Senthilvelan

Topological phase transitions can be described by the theory of critical phenomena and identified by critical exponents that define their universality classes. This is a consequence of the existence of a diverging length at the transition…

介观与纳米尺度物理 · 物理学 2019-12-05 S. Rufo , Nei Lopes , Mucio A. Continentino , Griffith M. A. R

The Su-Schrieffer-Heeger (SSH) model describes a one-dimensional $Z_{2}$ topological insulator, which has two topological distinct phases corresponding to two different dimerizations. When spin-orbit coupling is introduced into the SSH…

强关联电子 · 物理学 2014-08-19 Zhongbo Yan , Shaolong Wan

The Su-Schrieffer-Heeger (SSH) model serves as a canonical example of a one-dimensional topological insulator, yet its behavior under more complex, realistic conditions remains a fertile ground for research. This paper presents a…

材料科学 · 物理学 2025-06-13 Souvik Ghosh , Sayak Roy

Identifying phases and analyzing the stability of dynamic states are ubiquitous and important problems which appear in various physical systems. Nonetheless, drawing a phase diagram in high-dimensional and large parameter spaces has…

光学 · 物理学 2022-11-09 Stephan Wong , Jan Olthaus , Thomas K. Bracht , Doris E. Reiter , Sang Soon Oh

Topological modes in one- and two-dimensional systems have been proposed for numerous applications utilizing their exotic electronic responses. The zero-energy, topologically protected end modes can be realized in the Su-Schrieffer-Heeger…

介观与纳米尺度物理 · 物理学 2020-03-19 Md Nurul Huda , Shawulienu Kezilebieke , Teemu Ojanen , Robert Drost , Peter Liljeroth

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 Su-Schrieffer-Heeger (SSH) model describes a paradigmatic one-dimensional (1-D) system that exhibits a non-trivial band topology. In this paper, we foreground a new scheme involving a 1-D chain of $2N+1$ Bosonic modes with…

量子物理 · 物理学 2022-11-30 Jayakrishnan M. P. Nair

We present a modification to the bosonic Kitaev chain that, despite being Hermitian, supports both nonHermitian skin effect and nontrivial topological edge modes in its excitation Hamiltonian. We establish an exact mapping between the…

量子物理 · 物理学 2026-01-08 Raditya Weda Bomantara , Ibsal Assi , J. P. F. LeBlanc , Michael Vogl

We propose a method of computing and studying entanglement quantities in non-Hermitian systems by use of a biorthogonal basis. We find that the entanglement spectrum characterizes the topological properties in terms of the existence of…

强关联电子 · 物理学 2020-07-16 Po-Yao Chang , Jhih-Shih You , Xueda Wen , Shinsei Ryu

The Su-Schrieffer-Heeger (SSH) model describes the dynamics of spinless fermions in a one-dimensional lattice, with sublattices $A$ and $B$, and governed by staggered hopping potentials $v$ and $w$ representing the intracell and intercell…

介观与纳米尺度物理 · 物理学 2024-11-13 Dyn Paulo C. Dasallas , Eduardo C. Cuansing

The Su-Schrieffer-Heeger (SSH) chain is the reference model of a one-dimensional topological insulator. Its topological nature can be explained by the quantization of the Zak phase, due to reflection symmetry of the unit cell, or of the…

介观与纳米尺度物理 · 物理学 2023-10-12 Malte Röntgen , Xuelong Chen , Wenlong Gao , Maxim Pyzh , Peter Schmelcher , Vincent Pagneux , Vassos Achilleos , Antonin Coutant

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…

流体动力学 · 物理学 2025-06-26 Adam Anglart , Paweł Obrępalski , Agnès Maurel , Philippe Petitjeans , Vincent Pagneux

Non-Hermitian topological phases exhibit a number of exotic features that have no Hermitian counterparts, including the skin effect and breakdown of the conventional bulk-boundary correspondence. Here, we implement the non-Hermitian…

Non-Hermiticity alters topology with the presence of non-Hermitian factors in topological systems. Most existing non-Hermitian topological systems derive their topological phases from Hermitian components, that is, the gain and loss of the…

In this work, we develop a systematical approach of constructing and classifying the model Hamiltonians for two-dimensional (2D) higher-order topological phase with corner zero energy states (CZESs). Our approach is based on the direct…

介观与纳米尺度物理 · 物理学 2023-09-20 Xun-Jiang Luo , Xiao-Hong Pan , Chao-Xing Liu , Xin Liu

Metamaterials engineered to host topological states of matter in controllable quantum systems hold promise for the advancement of quantum simulations and quantum computing technologies. In this context, the Su-Schrieffer-Heeger (SSH) model…

It has been proposed recently by some of the authors that the quantum phase transition of a topological insulator like the SSH model may be detected by the eigenvalues and eigenvectors of the reduced density matrix. Here we further extend…

强关联电子 · 物理学 2019-03-27 Wing Chi Yu , P. D. Sacramento , Yan Chao Li , D. G. Angelakis , Hai-Qing Lin