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The (one-dimensional) Su-Schrieffer-Heeger Hamiltonian, augmented by spin-orbit coupling and longer-range hopping, is studied at half filling for an even number of sites. The ground-state phase diagram depends sensitively on the symmetry of…

介观与纳米尺度物理 · 物理学 2023-05-30 N. Ahmadi , J. Abouie , D. Baeriswyl

The Su-Schrieffer-Heeger (SSH) model perhaps is the easiest and the most basic model for topological excitations. Many variations and extensions of the SSH model have been proposed and explored to better understand both fundamental and…

量子气体 · 物理学 2019-07-01 Dizhou Xie , Wei Gou , Teng Xiao , Bryce Gadway , Bo Yan

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…

介观与纳米尺度物理 · 物理学 2025-09-17 Ziyu Zhou , Zhi-Cong Xu , Li-Jun Lang

Using a parent Hermitian tight-binding model on a bipartite lattice with chiral symmetry, we theoretically generate non-Hermitian models for free fermions with $p$ orbitals per unit cell satisfying a complex generalization of chiral…

介观与纳米尺度物理 · 物理学 2026-01-05 Edward McCann

We address the conditions required for a $\mathbb{Z}$ topological classification in the most general form of the non-Hermitian Su-Schrieffer-Heeger (SSH) model. Any chirally-symmetric SSH model will possess a "conjugated-pseudo-Hermiticity"…

介观与纳米尺度物理 · 物理学 2018-01-17 Simon Lieu

Topological transitions in non-Hermitian systems are generally boundary sensitive: a point-gap winding transition under periodic boundary condition (PBC) and a non-Bloch bulk real-line-gap transition under open boundary condition (OBC) at…

光学 · 物理学 2026-05-15 Huimin Wang , Yanxin Liu , Zhijian Li , Zhihao Xu

The non-Hermitian skin effect (NHSE) undermines the conventional bulk-boundary correspondence (BBC) since it results in a distinct bulk spectrum in open-boundary systems compared to the periodic counterpart. Using the non-Hermitian (NH)…

介观与纳米尺度物理 · 物理学 2024-05-03 Yi-Xin Xiao , Zhao-Qing Zhang , C. T. Chan

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 consider a Su-Schrieffer-Heeger chain to which we attach a semi-infinite undimerized chain (lead) to both ends. We study the effect of the openness of the SSH model on its properties. A representation of the infinite system using an…

介观与纳米尺度物理 · 物理学 2023-07-03 Alexei Bissonnette , Nicolas Delnour , Andrew Mckenna , Hichem Eleuch , Michael Hilke , Richard MacKenzie

Simple route of engineering topological phases for any desired value of winding and Chern numbers is found in the Su-Schrieffer-Heeger (SSH) model by adding a further neighbor hopping term of varying distances. It is known that the standard…

介观与纳米尺度物理 · 物理学 2023-05-19 Rakesh Kumar Malakar , Asim Kumar Ghosh

We investigate the bulk-boundary correspondence for massless Dirac fermion in $\alpha$-${T}_3$ lattice where the Berry phase can be continuously tuned from $\pi $ (graphene) to $0$ ($T_3$ or dice lattice) without modifying the energy…

介观与纳米尺度物理 · 物理学 2024-06-27 F. R. Pratama , Takeshi Nakanishi

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…

量子物理 · 物理学 2018-08-31 David S. Simon , Shuto Osawa , Alexander V. Sergienko

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…

We compare three complementary diagnostics for mixed Gaussian states at nonzero temperature, focusing on the Su-Schrieffer-Heeger (SSH) chain and its inversion-symmetric extension. Whilst the ensemble geometric phase, a mixed-state…

介观与纳米尺度物理 · 物理学 2026-04-08 Julia D. Hannukainen , Nigel R. Cooper

We investigate the edge states and the topological phase transitions in a class of tight binding lattices in one dimension where a Su-Schrieffer-Heeger (SSH) model exists in disguise. The unit cells of such lattices may have an arbitrarily…

无序系统与神经网络 · 物理学 2025-01-07 Subhajyoti Bid , Arunava Chakrabarti

The bulk-disclination correspondence (BDC) is a fundamental concept in Hermitian systems that has been widely applied to predict disclination states. Recently, disclination states have also been observed and experimentally verified in…

材料科学 · 物理学 2026-01-09 Boyuan Li , Zekun Huang , Wenao Wang , Jiaxi Wang , Yu Chen , Shaojie Ma , Ce Shang , Tie Jun Cui , Shuo Liu

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

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

Topological phases in exciton-polaritons and other metamaterial platforms have attracted significant attention due to their flexibility as Hamiltonian simulators. In previous works, signatures of topology have mainly been investigated from…

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…

光学 · 物理学 2024-03-12 Hannah Jürß , Dieter Bauer