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Related papers: Adiabatic charge transport in extended SSH models

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Resolving the conductance of the topological surface states (TSSs) from the bulk contribution has been a great challenge for studying the transport property of topological insulators. By developing a non-purturbative diffusion equation that…

Mesoscale and Nanoscale Physics · Physics 2013-10-18 Xin Liu , Jairo Sinova

We investigate the topology of the different phases of the extended Su-Schrieffer-Heeger (eSSH) model, which includes hopping processes between translationally inequivalent atoms beyond nearest neighbors. Exact analytical expressions for…

Other Condensed Matter · Physics 2026-04-23 P. A. Grizzi , A. A. Aligia , P. Roura-Bas

Wave propagation in periodic media is governed by energy-momentum relation and geometric phases characterizing band topology, such as Zak phase in one-dimensional lattices. We demonstrate that in the off-diagonal trimer lattices Zak phase…

The interacting SSH model provides an ideal ground to study the interplay between topologically insulating phases and electron-electron interactions. We study the polarization density as a topological invariant and provide an analytic…

Strongly Correlated Electrons · Physics 2024-11-19 E. Di Salvo , A. Moustaj , C. Xu , L. Fritz , A. K. Mitchell , C. Morais Smith , D. Schuricht

We present an exact analytical investigation of the topological properties and edge states of the Haldane model defined on a honeycomb lattice with zigzag edges. By exploiting translational symmetry along the ribbon direction, we perform a…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Ghassan Al-Mahmood , Mohsen Amini , Ebrahim Ghanbari-Adivi , Morteza Soltani

A five-level M-type scheme in atomic ensembles is proposed to generate a one-dimensional bipartite superradiance lattice in momentum space. By taking advantage of this tunable atomic system, we show that various types of…

Quantum Gases · Physics 2023-08-30 Shuai Li , Rui Tian , Huan Wang , Min Liu , Liangchao Chen , Bo Liu

The one-dimensional Su-Schrieffer-Heeger (SSH) model is a prototype model in the field of topological condensed matter physics, and the existence and characteristics of its topological edge states are crucial for revealing the topological…

Mesoscale and Nanoscale Physics · Physics 2025-09-23 Weibo Xu

We consider a system of two coupled parabolic PDEs introduced in [1] to model motility of eukaryotic cells. We study the asymptotic behavior of solutions in the limit of a small parameter related to the width of the interface in phase field…

Analysis of PDEs · Mathematics 2016-02-05 Leonid Berlyand , Mykhailo Potomkin , Volodymyr Rybalko

The Su-Schrieffer-Heeger(SSH) model has been widely used to study the topological property of 1D systems. It is claimed that there is fractional charge at the boundary of the nontrivial phase while none at that of trivial phase. However,…

Strongly Correlated Electrons · Physics 2022-09-14 Yidong Wu

We analyze the influence of disorder and strong correlations on the topology in two dimensional Chern insulators. A mean field calculation in the half-filled Haldane model with extended Hubbard interactions and Anderson disorder shows that…

Strongly Correlated Electrons · Physics 2024-09-19 Joao S. Silva , Eduardo V. Castro , Rubem Mondaini , María A. H. Vozmediano , M. Pilar López-Sancho

The Su-Schrieffer-Heeger (SSH) model is a fundamental lattice model used to study topological physics. Here, we propose a new versatile one-dimensional (1D) lattice model that extends beyond the SSH model. Our 1D model breaks chiral…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Qing Wang , Ning Hao

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

The duration of bidirectional transfer protocols in 1D topological models usually scales exponentially with distance. In this work, we propose transfer protocols in multidomain SSH chains and Creutz ladders that lose the exponential…

Quantum Physics · Physics 2026-03-30 Juan Zurita , Charles E. Creffield , Gloria Platero

We study chiral models in one spatial dimension, both static and periodically driven. We demonstrate that their topological properties may be read out through the long time limit of a bulk observable, the mean chiral displacement. The…

Other Condensed Matter · Physics 2018-02-02 Maria Maffei , Alexandre Dauphin , Filippo Cardano , Maciej Lewenstein , Pietro Massignan

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

We study the thermoelectric transport in two dimensional topological system which has coexistence of superconductivity(SC) and spin-density wave(SDW). The SC is presumed to be of $d_{x^2-y^2}+(p_x + i p_y) $ type whereas the SDW order…

Superconductivity · Physics 2016-02-17 Amit Gupta , Debanand Sa

The static topological fractional charge (TFC) in condensed matter systems is related to the band topology and thus has potential applications in topological quantum computation. However, the experimental measurement of these TFCs in…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Shu-guang Cheng , Yijia Wu , Hua Jiang , Qing-Feng Sun , X. C. Xie

We discuss the relation between particle number conservation and topological phases. In four spatial dimensions, we find that systems belonging to different topological phases in the presence of a U(1) charge conservation can be connected…

Mesoscale and Nanoscale Physics · Physics 2013-04-22 Jan Carl Budich

The Rice-Mele model has two topological and spatially-inversion symmetric phases, namely the Su-Schrieffer-Heeger (SSH) phase with alternating hopping only, and the charge-density-wave (CDW) phase with alternating energies only. The chiral…

Mesoscale and Nanoscale Physics · Physics 2022-10-14 Rebecca E. J. Allen , Holly V. Gibbons , Alex M. Sherlock , Harvey R. M. Stanfield , Edward McCann

More than 30 years ago, Thouless introduced the concept of a topological charge pump that would enable the robust transport of charge through an adiabatic cyclic evolution of the underlying Hamiltonian. In contrast to classical transport,…