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We reveal a one-dimensional topological insulating phase induced solely by gain and loss control in non-Hermitian optical lattices. The system comprises units of four uniformly coupled cavities, where successive two have loss, the others…

Optics · Physics 2018-11-21 Kenta Takata , Masaya Notomi

A topological boundary can be formed at the interface between a trivial and a topological insulator. The difference in the topological index across the junction leads to robust gapless surface states. Optical studies of these states are…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 A. Diaz-Fernandez , N. del Valle , E. Diaz , F. Dominguez-Adame

We investigate the topological properties of hardcore bosons possessing nearest-neighbor repulsive interactions on a two-leg ladder. We show that by allowing nearest neighbour dimerized interactions instead of hopping dimerization, the…

Quantum Gases · Physics 2024-10-08 Rajashri Parida , Ashirbad Padhan , Tapan Mishra

Topological insulators represent a new quantum state of matter which is characterized by peculiar edge or surface states that show up due to a topological character of the bulk wave functions. This review presents a pedagogical account on…

Materials Science · Physics 2013-09-04 Yoichi Ando

A microscopic, driven lattice gas model is proposed for the dynamics and spatio-temporal fluctuations of the precursor film observed in spreading experiments. Matter is transported both by holes and particles, and the distribution of each…

Statistical Mechanics · Physics 2009-11-07 Douglas B. Abraham , Rodolfo Cuerno , Esteban Moro

Matter in nontrivial topological phase possesses unique properties, such as support of unidirectional edge modes on its interface. It is the existence of such modes which is responsible for the wonderful properties of a topological…

Mesoscale and Nanoscale Physics · Physics 2018-09-06 Dmitry R. Gulevich , Dmitry Yudin , Dmitry V. Skryabin , Ivan V. Iorsh , Ivan A. Shelykh

Models of astrophysical convection, such as mixing length theory, typically assume that the heat transport is independent of microphysical diffusivities. Such 'diffusion-free' behaviour is, however, not observed in numerical simulations…

Solar and Stellar Astrophysics · Physics 2025-07-10 Tom Joshi-Hartley , Matthew K. Browning , Laura K. Currie , Neil T. Lewis , Benjamin P. Brown , Simon R. W. Lance

It was known that for non-Hermitian topological systems due to the non-Hermitian skin effect, the bulk-edge correspondence is broken down. In this paper, by using one-dimensional Su-SchriefferHeeger model and two-dimensional (deformed)…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Can Wang , Xiao-Ran Wang , Cui-Xian Guo , Su-Peng Kou

We revisit the applications of quasi-linear theory as a paradigmatic model for weak plasma turbulence and the associated bump-on-tail problem. The work, presented here, is built around the idea that large-amplitude or strongly shaped beams…

The Toda lattice is a model of nonlinear wave equations allowing exact soliton solutions. It is realized by an electric circuit made of a transmission line with variable capacitance diodes and inductors. It has been generalized to the…

Mesoscale and Nanoscale Physics · Physics 2022-01-20 Motohiko Ezawa

Topological insulators as new type of quantum matter materials are characterized by a full insulating gap in the bulk and gapless edge/surface states which are protected by time-reversal symmetry. We propose the interference patterns caused…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 Jing Wang , Bang-Fen Zhu

The study of heat transport in low-dimensional oscillator lattices presents a formidable challenge. Theoretical efforts have been made trying to reveal the underlying mechanism of diversified heat transport behaviors. In lack of a unified…

Statistical Mechanics · Physics 2016-05-05 Lei Wang , Nianbei Li , Peter Hanggi

Relaxation processes in topological phases such as quantum spin liquids are controlled by the dynamics and interaction of fractionalized excitations. In layered materials hosting two-dimensional topological phases, elementary quasiparticles…

Strongly Correlated Electrons · Physics 2026-01-29 Aprem P. Joy , Roman Lange , Achim Rosch

Topologically engineered optical materials support robust light transport. Herein, the investigated non-Hermitian lattice is trimerized and inhomogeneously coupled using uniform intracell coupling. The topological properties of the coupled…

Mesoscale and Nanoscale Physics · Physics 2018-03-20 L. Jin

Topological insulators have gapless edge/surface states with novel transport properties. Among these, there are two classes of perfectly conducting channels which are free from backscattering: the edge states of two-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2012-01-11 Shuichi Murakami , Ryuji Takahashi , O. A. Tretiakov , Ar. Abanov , Jairo Sinova

Two-dimensional (2D) topological electronic insulators are known to give rise to gapless edge modes, which underlie low energy dynamics, including electrical and thermal transport. This has been thoroughly investigated in the context of…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Udit Khanna , Yuval Gefen , Ora Entin-Wohlman , Amnon Aharony

We show global well-posedness and exponential stability of equilibria for a general class of nonlinear dissipative bulk-interface systems. They correspond to thermodynamically consistent gradient structure models of bulk-interface…

Analysis of PDEs · Mathematics 2020-01-06 Karoline Disser

This paper develops a scattering theory for the asymmetric transport observed at interfaces separating two-dimensional topological insulators. Starting from the spectral decomposition of an unperturbed interface Hamiltonian, we present a…

Spectral Theory · Mathematics 2025-08-13 Binglu Chen , Guillaume Bal

Photonic topological insulators supporting unidirectional topologically protected edge states represent attractive platform for realization of disorder- and backscattering-immune transport of edge excitations in both linear and nonlinear…

A new result enables direct calculation of thermoelastic damping in vibrating elastic solids. The mechanism for energy loss is thermal diffusion caused by inhomogeneous deformation, flexure in thin plates. The general result is combined…

Materials Science · Physics 2007-05-23 Andrew N. Norris , Douglas M. Photiadis