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Cavity materials are a frontier to investigate the role of light-matter interactions on the properties of electronic phases of matter. In this work, we raise a fundamental question: can non-local interactions mediated by cavity photons…

Strongly Correlated Electrons · Physics 2023-08-21 Daniel Shaffer , Martin Claassen , Ajit Srivastava , Luiz H. Santos

We study a class of off-diagonal quasiperiodic hopping models described by one-dimensional Su-Schrieffer-Heeger chain with quasiperiodic modulations. We unveil a general dual-mapping relation in parameter space of the dimerization strength…

Disordered Systems and Neural Networks · Physics 2021-01-12 Tong Liu , Xu Xia

Using a nonperturbative functional renormalization-group approach to the two-dimensional quantum O($N$) model, we compute the low-frequency limit $\omega\to 0$ of the zero-temperature conductivity in the vicinity of the quantum critical…

Strongly Correlated Electrons · Physics 2017-01-25 Félix Rose , Nicolas Dupuis

We investigate the effect of quantum phase slips on a helical quantum wire coupled to a superconductor by proximity. The effective low-energy description of the wire is that of a Majorana chain minimally coupled to a dynamical…

Mesoscale and Nanoscale Physics · Physics 2014-04-24 B. van Heck , E. Cobanera , J. Ulrich , F. Hassler

We demonstrate a platform for synthetic dimensions based on coupled Rydberg levels in ultracold atoms, and we implement the single-particle Su-Schrieffer-Heeger (SSH) Hamiltonian. Rydberg levels are interpreted as synthetic lattice sites,…

Atomic Physics · Physics 2022-03-09 S. K. Kanungo , J. D. Whalen , Y. Lu , M. Yuan , S. Dasgupta , F. B. Dunning , K. R. A. Hazzard , T. C. Killian

Inducing superconducting correlations in chiral edge states is predicted to generate topologically protected zero energy modes with exotic quantum statistics. Experimental efforts to date have focused on engineering interfaces between…

For a generalized Su-Schrieffer-Heeger model the energy zero is always critical and hyperbolic in the sense that all reduced transfer matrices commute and have their spectrum off the unit circle. Disorder driven topological phase…

Mathematical Physics · Physics 2023-05-03 Joris De Moor , Christian Sadel , Hermann Schulz-Baldes

The entanglement entropy can be an effective diagnostic tool for probing topological phase transitions. In one-dimensional single particle systems, the periodic driving generates a variety of topological phases and edge modes. In this work,…

Quantum Physics · Physics 2026-01-07 Siyuan Cheng , Rui Xie , Xiaosen Yang , Yuee Xie , Yuanping Chen

We study the topological physics in nonlinear Schr\"{o}dinger systems on lattices. We employ the quench dynamics to explore the phase diagram, where a pulse is given to a lattice point and we analyze its time evolution. There are two system…

Mesoscale and Nanoscale Physics · Physics 2021-12-24 Motohiko Ezawa

Recent studies of moir\'e physics have unveiled a wealth of opportunities for significantly advancing the field of quantum phase transitions. However, properties of reentrant phase transitions driven by moir\'e strength are poorly…

Quantum Physics · Physics 2026-01-16 Guo-Qing Zhang , L. F. Quezada , Shi-Hai Dong

We Study in this paper the scaling and statistical properties of the $ac$ conductivity of thin metal-dielectric films in different regions of the loss in the metallic components and particularly in the limit of vanishing loss. We model the…

Disordered Systems and Neural Networks · Physics 2019-08-17 L. Zekri , N. Zekri , R. Bouamrane , F. Brouers

In polymer science, cross-linking of polymer chains yields a substantially modified system compared to the one-dimensional constituent chains, due to the increase of dimensionality and effective seeding by defects (cross-linking sites).…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 A. Sivan , M. Orenstein

Two parallel helical edge channels hosting interacting electrons, when proximitized by local and nonlocal pairings, can host time-reversal-invariant pairs of topological zero modes at the system corners. Here we show that realistic…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 Anna Ohorodnyk , Chen-Hsuan Hsu

The canonical Su-Schrieffer-Heeger (SSH) model is one of the basic geometries that have spurred significant interest in topologically nontrivial bandgap modes with robust properties. Here, we show that the inclusion of suitable third-order…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Yakir Hadad , Alexander B. Khanikaev , Andrea Alu

We analyze the dynamical response functions of strongly interacting quantum critical states described by conformal field theories (CFTs). We construct a self-consistent holographic model that incorporates the relevant scalar operator…

High Energy Physics - Theory · Physics 2016-10-12 Robert C. Myers , Todd Sierens , William Witczak-Krempa

We numerically study the quantum phase transitions and the stability of Majorana zero modes in a generalized Kitaev model in one dimension when the chemical potential is periodically modulating in space. By using the exact diagonalization…

Statistical Mechanics · Physics 2016-06-17 Takumi Ohta , Keisuke Totsuka

We examine the transition from trivial to non-trivial phases in a Su-Schrieffer-Heeger model subjected to disorder in a quasi-periodic environment. We analytically determine the phase boundary, and characterize the localization of normal…

Statistical Mechanics · Physics 2025-12-09 Sayan Sircar

Su-Schrieffer-Heeger (SSH) chains are paradigmatic examples of 1D topological insulators hosting zero-energy edge modes when the bulk of the system has a non-zero topological winding invariant. Recently, high-harmonic spectroscopy has been…

Domain walls in fractional quantum Hall ferromagnets are gapless helical one-dimensional channels formed at the boundaries of topologically distinct quantum Hall (QH) liquids. Na\"{i}vely, these helical domain walls (hDWs) constitute two…

Mesoscale and Nanoscale Physics · Physics 2021-09-23 Ying Wang , Vadim Ponomarenko , Kenneth W. West , Kirk Baldwin , Loren N. Pfeiffer , Yuli Lyanda-Geller , Leonid P. Rokhinson

We study the transport properties of a topological system coupled to an AC electric field by means of Floquet-Keldysh formalism. We consider a semi-infinite chain of dimers coupled to a semi-infinite metallic lead, and obtain the density of…

Mesoscale and Nanoscale Physics · Physics 2017-02-06 Leonard Ruocco , Álvaro Gómez-León