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We derive a model of localized edge states in the finite width strip for two-dimensional electron gas formed in the hybrid system of bismuth monolayer deposited on the silicon interface and described by the nearly-free electron model with…

Mesoscale and Nanoscale Physics · Physics 2014-04-09 D. V. Khomitsky , A. A. Chubanov

We study the interfaces between lattice Laughlin states at different fillings. We propose a class of model wavefunctions for such systems constructed using conformal field theory. We find a nontrivial form of charge conservation at the…

Strongly Correlated Electrons · Physics 2020-07-02 Błażej Jaworowski , Anne E. B. Nielsen

The interplay between topology and interactions on the edge of a two dimensional topological insulator with time reversal symmetry is studied. We consider a simple non-interacting system of three helical channels with an inherent…

Strongly Correlated Electrons · Physics 2019-02-19 Raul A. Santos , D. B. Gutman , Sam T. Carr

Generalized honeycomb-structured materials have received increasing attention due to their novel topological properties. In this article, we investigate zero-energy edge states in tight-binding models for such materials with two different…

Spectral Theory · Mathematics 2025-04-15 Borui Miao , Yi Zhu

A material whose electrons are correlated can affect electron dynamics across the interface with another material. Such a "proximity effect" can have several manifestations, from order parameter leakage to generated effective interactions.…

Strongly Correlated Electrons · Physics 2013-08-22 Predrag Nikolic , Zlatko Tesanovic

We theoretically study the electronic structure of interface states in twisted stacks of three-dimensional topological insulators. When the center of the surface Dirac cone is located at a midpoint of a side of BZ boundary, we find that an…

Mesoscale and Nanoscale Physics · Physics 2022-06-28 Manato Fujimoto , Takuto Kawakami , Mikito Koshino

We present a scheme of interaction-induced topological bandstructures based on the spin anisotropy of exciton-polaritons in semiconductor microcavities. We predict theoretically that this scheme allows the engineering of topological gaps,…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 H. Sigurdsson , G. Li , T. C. H. Liew

Dynamical instabilities at the interface between two Bose--Einstein condensates that are moving relative to each other are investigated using mean-field and Bogoliubov analyses. Kelvin--Helmholtz instability is dominant when the interface…

Quantum Gases · Physics 2015-05-19 Naoya Suzuki , Hiromitsu Takeuchi , Kenichi Kasamatsu , Makoto Tsubota , Hiroki Saito

We introduce topological vector edge solitons in a Floquet insulator, consisting of two honeycomb arrays of helical waveguides with opposite directions of rotation in a focusing nonlinear optical medium. Zigzag edges of two arrays placed in…

We consider a topological Floquet insulator consisting of two honeycomb arrays of identical waveguides having opposite helicities. The interface between the arrays supports two distinct topological edge states, which can be resonantly…

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

We investigate and experimentally observe the existence of topologically protected interface modes in a one-dimensional mechanical lattice, and we report on the effect of nonlinearities on topological protection. The lattice consists of a…

Materials Science · Physics 2019-03-27 Javier Vila , Glaucio H. Paulino , Massimo Ruzzene

We show how the chiral properties of Bose Einstein condensates subject to current-density interactions and loaded in optical lattices can be observed in the realization of nonlinear Bloch states, whose spectrum lacks the usual periodic…

Quantum Gases · Physics 2023-10-23 Jintao Xu , Qian Jia , Haibo Qiu , Antonio Muñoz Mateo

Square-root topological insulators are recently-proposed intriguing topological insulators, where the topologically nontrivial nature of Bloch wave functions is inherited from the square of the Hamiltonian. In this paper, we propose that…

Mesoscale and Nanoscale Physics · Physics 2022-03-10 Tomonari Mizoguchi , Yoshihito Kuno , Yasuhiro Hatsugai

We present exactly solvable examples that topological Mott insulators can emerge from topologically trivial states due to strong interactions between atoms for atomic mixtures trapped in one-dimensional optical superlattice systems. The…

Quantum Gases · Physics 2013-07-22 Zhihao Xu , Shu Chen

At low temperatures and voltages tunneling transport through an interface between a superconductor and hopping insulator is dominated by coherent two-electron tunneling between the Cooper-pair condensate and pairs of localized states, see…

Other Condensed Matter · Physics 2009-11-11 M. Kirkengen , J. Bergli , Y. M. Galperin

Half-integer quantized flux vortices appear in honeycomb lattices when the signs of an odd number of couplings around a plaquette are inverted. We show that states trapped at these vortices can be isolated by applying inhomogeneous strain…

Mesoscale and Nanoscale Physics · Physics 2023-12-15 Dung Xuan Nguyen , Jake Arkinstall , Henning Schomerus

We present a systematic and rigorous analytical approach, based on the transfer matrix methodology, to study the existence, evolution, and robustness of subwavelength topological interface states in practical multilayered vibroacoustic…

Applied Physics · Physics 2024-10-07 Majdi O. Gzal , Joshua R. Tempelman , Kathryn H. Matlack , Alexander F. Vakakis

We systematically and analytically construct a set of spinor wave functions representing defects and textures that continuously penetrate interfaces between coexisting, topologically distinct magnetic phases in a spin-2 Bose-Einstein…

Synthetic dimensions provide a powerful route to engineer topological lattice models in ultracold atomic systems, but they contain intrinsic nonlocal interactions along the synthetic direction. We investigate an extended Harper-Hofstadter…

Quantum Gases · Physics 2026-03-18 Patrick Liam Geraghty , Alberto Nardin , Leonardo Mazza , Matteo Rizzi