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Topological phase transitions can be described by the theory of critical phenomena and identified by critical exponents that define their universality classes. This is a consequence of the existence of a diverging length at the transition…

Mesoscale and Nanoscale Physics · Physics 2019-12-05 S. Rufo , Nei Lopes , Mucio A. Continentino , Griffith M. A. R

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 study the interplay of spontaneous symmetry breaking and topological properties in interacting one-dimensional models. We solve these models using bozonization and identify topologically non-trivial phases by counting the additional…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Polina Matveeva , Dmitri Gutman , Sam T. Carr

Geared as an invitation for undergraduates, beginning graduate students, we present a pedagogical introduction to one-dimensional topological phases -- in particular the Su-Schrieffer-Heeger model. In the process, we delve upon ideas of…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 Anantha Hegde , Adarsh Kumar , Adhip Agarwala , Bhaskaran Muralidharan

In order to transport information with topological protection, we explore experimentally the fast transport time using edge states in one-dimensional Su-Schrieffer-Heeger (SSH) chains. The transport time is investigated in both one- and…

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 localization property of a non-Hermitian Su-Schrieffer-Heeger (SSH) chain with quasi-periodic on-site potential is investigated. In contrast to the preceding investigations, the quantum phase transition between localized state and…

Quantum Physics · Physics 2026-01-29 Guan-Qiang Li , Zhi-Yu Lin , You-Jiao Dong , Ya-Feng Xue , Chun-Yang Ren , Ping Peng

We investigate the equilibrium and non-equilibrium transport through a quantum dot in the Kondo regime, embedded between a normal metal and a topological superconductor supporting Majorana bound states at its end points. We find that the…

Mesoscale and Nanoscale Physics · Physics 2014-11-07 Razvan Chirla , I. V. Dinu , V. Moldoveanu , Catalin Pascu Moca

We investigate the spectral properties of the Su-Schrieffer-Heeger (SSH) model with sublattice-dependent onsite nonlinearity. Two complementary approaches are employed in our studies. First, Bloch state solutions under periodic boundary…

Mesoscale and Nanoscale Physics · Physics 2026-04-02 Ahmed Alharthy , RW Bomantara

We compute AC electrical transport at quantum Hall critical points, as modeled by intersecting branes and gauge/gravity duality. We compare our results with a previous field theory computation by Sachdev, and find unexpectedly good…

High Energy Physics - Theory · Physics 2009-11-13 Janne Alanen , Esko Keski-Vakkuri , Per Kraus , Ville Suur-Uski

We simulate the the Su-Schrieffer-Heeger (SSH) model using Rydberg-atom synthetic dimensions constructed, in a single atom, from a ladder of six neighboring $n\:^3S_1$ Rydberg states in which adjacent states are coupled with two-photon…

Quantum Physics · Physics 2024-04-30 Yi Lu , Chuanyu Wang , Soumya K. Kanungo , F. Barry Dunning , Thomas C. Killian

A salient feature of cyclically driven first-order phase transformations in crystals is their scale-free avalanche dynamics. This behavior has been linked to the presence of a classical critical point but the mechanism leading to…

Disordered Systems and Neural Networks · Physics 2016-10-14 Francisco J. Perez-Reche , Carles Triguero , Giovanni Zanzotto , Lev Truskinovsky

We present a microscopic model for calculating the AC conductivity of a finite length line junction made up of two counter or co-propagating single mode quantum Hall edges with possibly different filling fractions. The effect of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Amit Agarwal , Diptiman Sen

We have analyzed the dynamics of entanglement in dissipative fermionic and bosonic Su-Schrieffer-Heeger (SSH) models and found that, when the decoherence channel preserves the chiral symmetry, they exhibit a revival of entanglement in a…

Quantum Physics · Physics 2025-09-29 Dongni Chen , Stefano Chesi , Mahn-Soo Choi

We uncover the relationship of topology and disorder in a one-dimensional Su-Schrieffer-Heeger chain subjected to a slowly varying quasi-periodic modulation. By numerically calculating the disorder-averaged winding number and analytically…

Disordered Systems and Neural Networks · Physics 2022-07-20 Zhanpeng Lu , Zhihao Xu , Yunbo Zhang

The appearance of topological effects in systems exhibiting a non-trivial topological band structure strongly relies on the coherent wave nature of the equations of motion. Here, we reveal topological dynamics in a classical stochastic…

Quantum Physics · Physics 2018-03-08 G. Engelhardt , M. Benito , G. Platero , G. Schaller , T. Brandes

We analyze an AC-driven dimer chain connected to a strongly biased electron source and drain. It turns out that the resulting transport exhibits fingerprints of topology. They are particularly visible in the driving-induced current…

Mesoscale and Nanoscale Physics · Physics 2016-10-18 Michael Niklas , Mónica Benito , Sigmund Kohler , Gloria Platero

Witnessing and tracking topological phase transitions induced by interactions with the environment is a crucial challenge. Among the various experimental approaches to detect topological properties, the Mean Chiral Displacement (MCD) has…

Statistical Mechanics · Physics 2025-12-11 Fabrizio Pavan , Grazia Di Bello , Giulio De Filippis , Carmine Antonio Perroni

Localization-delocalization transition in a discrete Anderson nonlinear Schr\"odinger equation with disorder is shown to be a critical phenomenon $-$ similar to a percolation transition on a disordered lattice, with the nonlinearity…

Disordered Systems and Neural Networks · Physics 2012-03-20 A. V. Milovanov , A. Iomin

We study the disconnected entanglement entropy, $S^D$, of the Su-Schrieffer-Heeger model. $S^D$ is a combination of both connected and disconnected bipartite entanglement entropies that removes all area and volume law contributions, and is…

Strongly Correlated Electrons · Physics 2021-01-18 Tommaso Micallo , Vittorio Vitale , Marcello Dalmonte , Pierre Fromholz
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