English
Related papers

Related papers: Nonlinear construction of topological SSH models

200 papers

By introducing the next-nearest-neighboring (NNN) intersite coupling, we investigate the eigenenergies of the $\cal PT$-symmetric non-Hermitian Su-Schrieffer-Heeger (SSH) model with two conjugated imaginary potentials at the end sites. It…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Xue-Si Li , Ze-Zhong Li , Lian-Lian Zhang , Wei-Jiang Gong

We investigate a variant of the SSH model consisting of an SSH chain with an embedded Aharonov-Bohm quantum ring. The embedded ring gives rise to domain wall states whose energy levels are in the band gap. The dependence of some of the…

Other Condensed Matter · Physics 2022-09-08 A. P. Garrido , A. R. Plastino , M. L. Ladrón de Guevara , V. M. Apel

We study the extended Su-Schrieffer-Heeger model with both the nearest-neighbor and next-nearest-neighbor hopping strengths being cyclically modulated and find the family of the model system exhibiting topologically nontrivial phases, which…

Mesoscale and Nanoscale Physics · Physics 2014-02-13 Linhu Li , Zhihao Xu , Shu Chen

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

We investigate theoretically the Bose-Hubbard version of the celebrated Su-Schrieffer-Heeger topological model, which essentially describes a one-dimensional dimerized array of coupled oscillators with on-site interactions. We study the…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 P. Martínez Azcona , C. A. Downing

We construct a family of chiral symmetry-protected third-order topological insulators by stacking Su-Schrieffer-Heeger (SSH) chains and provide a unified topological characterization by a series of Bott indices. Our approach is informed by…

Mesoscale and Nanoscale Physics · Physics 2025-01-10 Xun-Jiang Luo , Jia-Zheng Li , Meng Xiao , Fengcheng Wu

We study the topological properties of hardcore bosons on a two-leg ladder consisting of two Su-Schrieffer-Heeger (SSH) chains that are coupled via hopping and interaction. We chart out the phase diagram for the system and show that based…

Quantum Gases · Physics 2023-06-16 Ashirbad Padhan , Suman Mondal , Smitha Vishveshwara , Tapan Mishra

Topological photonic systems offer light transport that is robust against defects and disorder, promising a new generation of chip-scale photonic devices and facilitating energy-efficient on-chip information routing and processing. However,…

Topological insulators have inspired the study with various quantum simulators. Exploiting the tunability of the qubit frequency and qubit-qubit coupling, we show that a superconducting qubit chain can simulate various topological band…

Quantum Physics · Physics 2017-11-21 Xiu Gu , Shu Chen , Yu-xi Liu

We investigate topological lasers in combination of nonlinear, non-Hermitian and topological lattice systems based on a quench dynamics starting from one site. We consider explicitly the topological laser in the Su-Schrieffer-Heeger (SSH)…

Mesoscale and Nanoscale Physics · Physics 2022-03-16 Motohiko Ezawa

We propose an application of a parity-time symmetric non-Hermitian Su-Schrieffer-Heeger (SSH) model by embedded it in a two-dimensional square lattice tube. The coalescence state at the exceptional point of non-Hermitian SSH model is chiral…

Mesoscale and Nanoscale Physics · Physics 2019-10-04 K. L. Zhang , L. Jin , Z. Song

The Su-Schrieffer-Heeger (SSH) chain, which serves as a paradigmatic model for comprehending topological phases and their associated edge states, plays an essential role in advancing our understanding of quantum materials and quantum…

Quantum Physics · Physics 2024-03-20 Sebastián V. Romero , Xi Chen , Gloria Platero , Yue Ban

The interplay between interparticle interactions and topological features may result in unusual phenomena. Interestingly, interactions may induce topological features in an originally trivial system, as we illustrate for the case of a…

Quantum Gases · Physics 2021-07-28 Suman Mondal , Sebastian Greschner , Luis Santos , Tapan Mishra

Nonlinearity induced topological properties in nonlinear lattice systems are studied in both momentum space and real space. Experimentally realizable through the Kerr effect on photonic waveguide systems, our working model depicts on-site…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Thomas Tuloup , Raditya Weda Bomantara , Ching Hua Lee , Jiangbin Gong

The substrate-adsorbate interaction can significantly influence the adsorbate's electronic structure, stability, reactivity, and topological properties. In this study, we investigate the emergence of non-Hermitian physics in the…

Materials Science · Physics 2025-07-25 Shayan Edalatmanesh , Thomas Frederiksen

We consider periodically modulated Su-Schrieffer-Heeger (SSH) model with gain and loss. This model, which can be realized with current technology in photonics using waveguides, allows us to study Floquet topological insulating phase. By…

Quantum Physics · Physics 2018-06-19 Z. Turker , S. Tombuloglu , C. Yuce

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 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

Intriguing issues in one-dimensional non-reciprocal topological systems include the breakdown of usual bulk-edge correspondence and the occurrence of half-integer topological invariants. In order to understand these unusual topological…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Hui Jiang , Rong Lü , Shu Chen

Recently, a one-to-one correspondence between non-trivial non-Hermitian topology and directional amplification has been demonstrated, theoretically and experimentally, for the case of one complex band. Here, we extend our framework to…

Mesoscale and Nanoscale Physics · Physics 2025-09-25 Clara C. Wanjura , Andreas Nunnenkamp