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The Su, Schrieffer and Heeger (SSH) model, describing the soliton excitations in polyacetylene due to the formation of antiphase domain walls (DW) from the alternating bond pattern, has served as a paradigmatic example of one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2023-01-30 Jinwoong Kim , Cheng-Yi Huang , Hsin Lin , David Vanderbilt , Nicholas Kioussis

Topological models are characterized by a quantized topological invariant and provide a description of novel phases of matter that can exhibit localized edge states, corner modes, and chiral transport. We experimentally realize two 1-D…

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…

Mesoscale and Nanoscale Physics · Physics 2024-11-13 Dyn Paulo C. Dasallas , Eduardo C. Cuansing

Non-Hermiticity naturally breaks down the adiabaticity and thus leads to non-Abelian behaviors in multi-band systems. Here, we study how non-Abelian properties emerge in non-Hermitian systems by considering a multi-band non-Hermitian model…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Ziyu Zhou , Zhi-Cong Xu , Li-Jun Lang

The hybrid atoms-cell site entanglement in a one-dimensional Su-Schrieffer-Heeger (SSH) topological insulator with first and second neighbor hopping interaction in space representation of finite chains is analyzed. The geometric phase is…

Quantum Physics · Physics 2023-01-02 Leonardo A. Navarro-Labastida , Francisco A. Domínguez-Serna , F. Rojas

In the field of symmetry-protected topological phases, a common wisdom is that the symmetries fix the topological classifications, but they alone cannot determine whether a system is topologically trivial or not. Here, we show that this is…

Mesoscale and Nanoscale Physics · Physics 2024-03-29 Gang Jiang , Z. Y. Chen , S. J. Yue , W. B. Rui , Xiao-Ming Zhu , Shengyuan A. Yang , Y. X. Zhao

This work delves into the energy localization in non-Hermitian systems, particularly focusing on the effects of topological defects in spherical models. We analyze the mode distribution changes in non-Hermitian Su-Schrieffer-Heeger (SSH)…

Applied Physics · Physics 2024-02-06 Xizhou Shen , Xiumei Wang , Haotian Guo , Xingping Zhou

The Su-Schrieffer-Heeger (SSH) model, which captures the most striking transport properties of the conductive organic polymer $trans$-polyacetylene, provides perhaps the most basic model system supporting topological excitations. The…

Quantum Gases · Physics 2017-05-12 Eric J. Meier , Fangzhao Alex An , Bryce Gadway

We investigate dissipative extensions of the Su-Schrieffer-Heeger model with regard to different approaches of modeling dissipation. In doing so, we use two distinct frameworks to describe the gain and loss of particles, one uses Lindblad…

Quantum Physics · Physics 2018-10-02 Felix Dangel , Marcel Wagner , Holger Cartarius , Jörg Main , Günter Wunner

A Su-Schrieffer-Heeger model with added PT-symmetric boundary term is studied in the framework of pseudo-hermitian quantum mechanics. For two special cases, a complete set of pseudometrics is constructed in closed form. When complemented…

Mathematical Physics · Physics 2016-04-05 Frantisek Ruzicka

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…

We employ electric circuit networks to study topological states of matter in non-Hermitian systems enriched by parity-time symmetry $\mathcal{PT}$ and chiral symmetry anti-$\mathcal{PT}$ ($\mathcal{APT}$). The topological structure…

The non-Hermitian but $\mathcal{PT}$-symmetric quantum field theories are known to have a pseudo-Hermitian interpretation. However the corresponding intertwining operator happens to be nonlocal that raises the question to what extent this…

High Energy Physics - Theory · Physics 2019-03-27 Oleg O. Novikov

This paper presents two methods for topological analysis of the complex Hermitian Su-Schrieffer-Heeger (SSH) model using the quantum geometric tensor: Berry phase and topological data analysis. We demonstrate how both methods can…

Strongly Correlated Electrons · Physics 2024-07-15 Eve Cheng , Murray T. Batchelor , Danny Cocks

We investigate a non-Hermitian quantum battery based on the Su-Schrieffer-Heeger (SSH) lattice, charged through a parity-time (PT)-symmetric protocol that alternates gain and loss between the two sublattices. The interplay between lattice…

Quantum Physics · Physics 2026-04-16 A-Long Zhou , Ya-Wen Xiao , Nuo Xu , Li-Li Gao , Long-Jie Li , Hang Zhou , Zi-Min Li , Chuan-Cun Shu

We propose an resistors, inductors and capacitors (RLC) electrical circuit to theoretically analyze and fully simulate a new type of non-Hermitian Su-Schrieffer-Heeger (SSH) model with complex hoppings. We formulate its construction and…

Quantum Physics · Physics 2022-04-11 David-Andres Galeano , Xiao-Xiao Zhang , Jorge Mahecha

Su-Schrieffer-Heeger (SSH) chains are the simplest model systems that display topological edge states. We calculate high-harmonic spectra of SSH chains that are coupled to an external laser field of a frequency much smaller than the band…

Optics · Physics 2024-03-12 Hannah Jürß , Dieter Bauer

A dimerized fermion chain, described by Su-Schrieffer-Heeger (SSH) model, is a well-known example of 1D system with a non-trivial band topology. An interplay of disorder and topological ordering in the SSH model is of a great interest owing…

We investigate the non-Hermitian Su-Schrieffer-Heeger (SSH) model on Bethe lattice, revealing a novel localization phenomenon coined inner non-Hermitian skin effect. This effect is featured by the localization of all eigenstates within the…

Mesoscale and Nanoscale Physics · Physics 2025-02-13 Junsong Sun , Chang-An Li , Shiping Feng , Huaiming Guo

The fidelity susceptibility has been used to detect quantum phase transitions in the Hermitian quantum many-body systems over a decade, where the fidelity susceptibility density approaches $+\infty$ in the thermodynamic limits. Here the…

Quantum Physics · Physics 2021-01-08 Yu-Chin Tzeng , Chia-Yi Ju , Guang-Yin Chen , Wen-Min Huang
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