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The on-site potentials may break the symmetry of a system, resulting in the loss of its original topology protected by the symmetry. In this work, we study the counteracting effect of non-Hermitian terms on real potentials, resulting in…

Strongly Correlated Electrons · Physics 2025-06-09 E. S. Ma , K. L. Zhang , Z. Song

We study an anisotropic two-dimensional non-Hermitian Lieb lattice, where the staggered gain and loss present in the horizontal and vertical directions, respectively. The intra-cell nonreciprocal coupling generates magnetic flux enclosed in…

Mesoscale and Nanoscale Physics · Physics 2021-11-02 L. C. Xie , H. C. Wu , X. Z. Zhang , L. Jin , Z. Song

In quantum mechanics, supersymmetry (SUSY) posits an equivalence between two elementary degrees of freedom, bosons, and fermions defined by local rules. Here we apply it to find connections between bosonic and fermionic lattice models in…

Strongly Correlated Electrons · Physics 2024-12-16 Krishanu Roychowdhury , Jan Attig , Simon Trebst , Michael J. Lawler

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…

Disordered Systems and Neural Networks · Physics 2025-01-07 Subhajyoti Bid , Arunava Chakrabarti

In this paper we analyze a generalized Jackiw-Rebbi (J-R) model in which a massive fermion is coupled to the kink of the $\lambda\phi^4$ model as a prescribed background field. We solve this massive J-R model exactly and analytically and…

High Energy Physics - Theory · Physics 2014-04-17 Farid Charmchi , Siamak S. Gousheh

A main objective of topological photonics is the design of disorder-resilient optical devices. Many prospective applications would benefit from nonlinear effects, which not only are naturally present in real systems but also are needed for…

Optics · Physics 2019-03-04 E. Cancellieri , H. Schomerus

We investigate non-Hermitian skin modes in laser arrays with spatially localized excitation. Intriguingly, we observe an unusual threshold behavior when selectively pumping either the head or the tail of these modes: both cases exhibit the…

Optics · Physics 2023-09-28 Li Ge , Zihe Gao , Liang Feng

In this study, we investigate the emergence of a topological non-Fermi liquid (NFL) phase in a modified Su-Schrieffer-Heeger (SSH) chain model subjected to long-range interactions characterized by the Hatsugai-Kohmoto (HK) model. While…

Strongly Correlated Electrons · Physics 2025-05-20 Sepide Mohamadi , Jahanfar Abouie

A non-Hermitian generalization of the Su-Schrieffer-Heeger model driven by a periodic external potential is investigated, and its topological features are explored. We find that the bi-orthonormal geometric phase acts as a topological…

Mesoscale and Nanoscale Physics · Physics 2025-12-12 Vivek M. Vyas , Dibyendu Roy

A fundamental symmetry of the non-Hermitian operators describing wave-propagation in time-varying media imbue such systems with non-trivial topology. This topology may be measured directly in a wide range of experimental settings as a…

Optics · Physics 2026-05-12 Calvin Hooper

This communication presents an examination of a two-dimensional, non-Hermitian Su -Schrieffer-Heeger (SSH) model, which is differentiated from its conventional Hermitian counterpart by incorporating gain and/or loss terms, mathematically…

Mesoscale and Nanoscale Physics · Physics 2025-06-23 Udai Prakash Tyagi , Partha Goswami

Topology has been revealed to play a fundamental role in physics in the past decades. Topological insulators have unconventional gapless edge states where disorder-induced back-scattering is suppressed. In photonics, such edge states lead…

We theoretically study the collective excitation modes of a topological laser device operating in a single-mode steady-state with monochromatic emission. We consider a model device based on a two-dimensional photonic Harper-Hofstadter…

In this paper we study a system inspired on certain SUSY breaking models and on more recent Dark Matter scenarios. In our set-up, two Abelian gauge fields interact via an operator that mixes their kinetic terms. We find the extended…

High Energy Physics - Theory · Physics 2015-06-23 Paola Arias , Edwin Ireson , Carlos Núñez , Fidel Schaposnik

We investigate topological and disorder effects in non-Hermitian systems with chiral symmetry. The system under consideration consists in a finite Su-Schrieffer-Heeger chain to which two semi-infinite leads are attached. The system lacks…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 B. Ostahie , A. Aldea

There have been considerable efforts devoted to the study of topological phases in certain non-Hermitian systems that possess real eigenfrequencies in the presence of gain and loss. However, it is challenging to experimentally realize such…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Shuo Liu , Shaojie Ma , Cheng Yang , Lei Zhang , Wenlong Gao , Yuan Jiang Xiang , Tie Jun Cui , Shuang Zhang

Topological materials are of great interest because they can support metallic edge or surface states that are robust against perturbations, with the potential for technological applications. Here we experimentally explore the light-induced…

Photonic structures with topologically nontrivial bands are usually designed by arranging simple meta-atoms, ideally, single-mode ones, in a carefully designed photonic lattice with symmetry that guarantees the emergence of topological…

Optics · Physics 2020-10-21 Roman S. Savelev , Maxim A. Gorlach

In Hermitian systems, according to the bulk-edge correspondence interfacing two topological optical media with different bulk topological numbers implies the existence of edge states, which can trap light at the interface. However, such a…

Optics · Physics 2021-12-21 Stefano Longhi

The Su-Schrieffer-Heeger (SSH) model describes a tight-binding one-dimensional (1D) lattice with alternating nearest-neighbor amplitudes. Despite its mathematically simple and physically intuitive structure, the SSH model is capable of…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Raditya Weda Bomantara
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