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We investigate the two-dimensional optical Su-Schrieffer-Heeger (SSH) model, in which the electron hopping amplitude is modulated by the difference between neighboring phonon coordinates. Using sign-problem-free auxiliary-field quantum…

Motivated by recent advances in cold atomic systems, we study the equilibrium and quench properties of two dimensional fermions with quadratic band touching at the Fermi level, in the presence of infinitely long range interactions. Unlike…

Strongly Correlated Electrons · Physics 2016-10-24 Balázs Dóra , Igor F. Herbut

In the usual Su-Schrieffer-Heeger (SSH) chain, the topology of the energy spectrum is divided into two categories in different parameter regions. Here we study the topological and nontopological edge states induced by qubit-assisted…

Quantum Physics · Physics 2020-08-26 Lu Qi , Yan Xing , Guo-Li Wang , Shou Zhang , Hong-Fu Wang

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

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

A (single flavor) quadratic band crossing in two dimensions is known to have a generic instability towards a quantum anomalous Hall (QAH) ground state for infinitesimal repulsive interactions. Here we introduce a generalization of a…

Strongly Correlated Electrons · Physics 2014-07-29 Balázs Dóra , Igor F. Herbut , Roderich Moessner

We study two coupled Su-Schrieffer-Heeger (SSH) chains system, which is shown to contain rich quantum phases associated with topological invariants protected by symmetries. In the weak coupling region, the system supports two non-trivial…

Mesoscale and Nanoscale Physics · Physics 2017-09-14 Ci. Li , Sen. Lin , Gang. Zhang , Zhi. Song

Su-Schrieffer-Heeger (SSH) model on two-dimensional square lattice exhibits a topological phase transition, which is related to the Zak phase determined by bulk band topology. The strong modulation of electron hopping causes nontrivial…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Daichi Obana , Feng Liu , Katsunori Wakabayashi

Synthetic quantum Hall bilayer (SQHB), realized by optically driven monolayer graphene in the quantum Hall regime, provides a flexible platform for engineering quantum Hall phases as discussed in [Phys. Rev. Lett. 119, 247403]. The coherent…

Strongly Correlated Electrons · Physics 2020-09-02 Ze-Pei Cian , Tobias Grass , Abolhassan Vaezi , Zhao Liu , Mohammad Hafezi

We address the effect of nearest-neighbor (NN) interactions on the topological properties of the Su-Schrieffer-Heeger (SSH) chain, with alternating hopping amplitudes t1 and t2. Both numerically and analytically, we show that the presence…

Strongly Correlated Electrons · Physics 2017-04-05 A. M. Marques , R. G. Dias

We investigate dynamical quantum phase transitions (DQPTs) in both pure and mixed states within the extended SSH model framework, focusing on the SSH-3 and SSH-4 variants, which differ in symmetry properties. The SSH-3 model, characterized…

Quantum Physics · Physics 2025-10-21 Kaiyuan Cao , Tianren Zhang , Xiangping Jiang , Jian Wang

Rydberg-atom synthetic dimensions in the form of a lattice of n$^3S_1$ levels, $58\leq n \leq 63$, coupled through two-photon microwave excitation are used to examine dynamics within the single-particle Su-Schrieffer-Heeger (SSH)…

Quantum Physics · Physics 2023-11-14 Y. Lu , C. Wang , S. K. Kanungo , S. Yoshida , F. B. Dunning , T. C. Killian

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 is expected that the interplay between non-trivial band topology and strong electron correlation will lead to very rich physics. Thus a controlled study of the competition between topology and correlation is of great interest. Here,…

Strongly Correlated Electrons · Physics 2016-04-04 Yuan-Yao He , Han-Qing Wu , Yi-Zhuang You , Cenke Xu , Zi Yang Meng , Zhong-Yi Lu

We investigate the ground state phase diagram of an extended Hubbard model with $\pi$-flux hopping term at half-filling on a square lattice, with unbiased large-scale auxiliary-field quantum Monte Carlo simulations. As a function of…

Strongly Correlated Electrons · Physics 2022-08-05 Yuan Da Liao , Xiao Yan Xu , Zi Yang Meng , Yang Qi

The two dimensional square lattice hard-core boson Hubbard model with near neighbor interactions has a `checkerboard' charge density wave insulating phase at half-filling and sufficiently large intersite repulsion. When doped, rather than…

Strongly Correlated Electrons · Physics 2013-06-05 T. Ying , G. G. Batrouni , V. G. Rousseau , M. Jarrell , J. Moreno , X. D. Sun , R. T. Scalettar

We have studied the quark-hadron phase transition with RMFT motivated equation of state for a strongly interacting hadronic sector and lattice motivated equation of state for weakly interacting QGP sector. The interactions in hadronic…

High Energy Physics - Phenomenology · Physics 2012-01-19 Saeed Uddin , Waseem Bashir , Jan Shabir Ahmad , Riyaz Ahmad Bhat

If a full band gap closes and then reopens when we continuously deform a periodic system while keeping its symmetry, a topological phase transition usually occurs. A common model demonstrating such a topological phase transition in…

Classical Physics · Physics 2018-11-26 Xin Li , Yan Meng , Xiaoxiao Wu , Sheng Yan , Yingzhou Huang , Shuxia Wang , Weijia Wen

A tight binding network of diamond shaped unit cells trapping a staggered magnetic flux distribution is shown to exhibit a topological phase transition under a controlled variation of the flux trapped in a cell. A simple real space…

Mesoscale and Nanoscale Physics · Physics 2020-10-23 Amrita Mukherjee , Atanu Nandy , Shreekantha Sil , Arunava Chakrabarti

Fock-state lattice (FSL) offers a powerful quantum simulator for topological phenomena due to the unbounded scalability and ease of implementation. Nevertheless, the unique topological properties induced by its site-dependent coupling have…

Quantum Physics · Physics 2025-10-14 Xing Yao Mi , Yong-Chun Liu , Zhi Jiao Deng , Chun Wang Wu , Ping Xing Chen