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Conventional topological insulators exhibit exotic gapless edge or surface states, as a result of non-trivial bulk topological properties. In periodically-driven systems the bulk-boundary correspondence is fundamentally modified and…

We propose a realization of a two-dimensional higher-order topological insulator with ultracold atoms loaded into orbital angular momentum (OAM) states of an optical lattice. The symmetries of the OAM states induce relative phases in the…

Quantum Gases · Physics 2019-11-11 G. Pelegrí , A. M. Marques , V. Ahufinger , J. Mompart , R. G. Dias

We investigate the edge states and the topological phase transitions in a class of tight binding lattices in one dimension where a Su-Schrieffer-Heeger (SSH) model exists in disguise. The unit cells of such lattices may have an arbitrarily…

Disordered Systems and Neural Networks · Physics 2025-01-07 Subhajyoti Bid , Arunava Chakrabarti

Topological phases are characterized by their entanglement properties, which is manifest in a direct relation between entanglement spectra and edge states discovered by Li and Haldane. We propose to leverage the power of synthetic quantum…

Quantum Gases · Physics 2022-05-04 Torsten V. Zache , Christian Kokail , Bhuvanesh Sundar , Peter Zoller

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 explore novel topological phases realized in a superlattice system based on the Wilson-Dirac model. Our main focus is on a two-dimensional analogue of weak topological insulator phases. We find such phases as those characterized by…

Mesoscale and Nanoscale Physics · Physics 2013-06-27 T. Fukui , K. -I. Imura , Y. Hatsugai

We propose an experimental scheme to construct an optical lattice where the atoms are confined to the surface of a torus. This construction can be realized with spatially shaped laser beams which could be realized with recently developed…

Quantum Gases · Physics 2018-10-03 Hwanmun Kim , Guanyu Zhu , J. V. Porto , Mohammad Hafezi

Flat bands are of significant interest due to their potential for energy confinement and their ability to enable strongly correlated physics. Incorporating topology into flatband systems further enhances flatband mode robustness against…

Optics · Physics 2025-04-01 Yongsheng Liang , Jingyan Zhan , Shiqi Xia , Daohong Song , Zhigang Chen

We study the topological photonic states in one-dimensional (1-D) lattices analogue to the Su-Schrieffer-Heeger (SSH) model beyond the dipole approximation. The electromagnetic resonances of the lattices supported by near-field interactions…

Mesoscale and Nanoscale Physics · Physics 2022-06-23 Raymond P. H. Wu , H. C. Ong

Inspired by the growing interest in probing many-body phases in novel two-dimensional lattice geometries we investigate the properties of cold atoms as they could be observed in an optical Lieb lattice. We begin by computing Wannier…

Quantum Gases · Physics 2021-08-12 Stuart Flannigan , Luisa Madail , Ricardo G. Dias , Andrew J. Daley

The experimental study of edge states in atomically-thin layered materials remains a challenge due to the difficult control of the geometry of the sample terminations, the stability of dangling bonds and the need to measure local…

Mesoscale and Nanoscale Physics · Physics 2016-08-08 M. Milicevic , T. Ozawa , P. Andreakou , I. Carusotto , T. Jacqmin , E. Galopin , A. Lemaître , L. Le Gratiet , I. Sagnes , J. Bloch , A. Amo

We address the co-existence of massless and massive topological edge states at the interface between two materials with different topological phases. We modify the well known Bernevig-Hughes-Zhang model to introduce a smooth function…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 Tineke L. van den Berg , M. Reyes Calvo , Dario Bercioux

We study the scattering of edge states of 2D topological insulator (TI) in the uniform external magnetic field due to edge imperfections, common in realistic 2D TI samples. The external magnetic field breaks time reversal (TR) symmetry,…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 A. S. Dotdaev , Ya. I. Rodionov , A. V. Rozhkov , P. D. Grigoriev

Topological edge states form at the edges of periodic materials with specific degeneracies in their modal spectra, such as Dirac points, under the action of effects breaking certain symmetries of the system. In particular, in Floquet…

Topological feature has become an intensively studied subject in many fields of physics. As a witness of topological phase, the edge states are topologically protected and may be helpful in quantum information processing. In this paper, we…

Mesoscale and Nanoscale Physics · Physics 2014-04-04 H. Z. Shen , X. X. Yi , C. H. Oh

Robust states emerging at the boundary of a system constitute a hallmark for topological band structures. Other than in closed systems, topologically protected states can occur even in systems with a trivial band structure, if exposed to…

Quantum Physics · Physics 2023-10-16 Helene Wetter , Michael Fleischhauer , Stefan Linden , Julian Schmitt

Topological insulators with unique gapless edge states have revolutionized the understanding of electronic properties in solid materials. These gapless edge states are dictated by the topological invariants associated with the quantization…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Xiujuan Zhang , Hai-Xiao Wang , Zhi-Kang Lin , Yuan Tian , Biye Xie , Ming-Hui Lu , Yan-Feng Chen , Jian-Hua Jiang

Linearity of the topological insulator edge state spectrum plays the crucial role for various transport phenomena. The previous studies found that this linearity exists near the spectrum crossing point, but did not determine how perfect the…

Mesoscale and Nanoscale Physics · Physics 2017-08-15 M. V. Entin , M. M. Mahmoodian , L. I. Magarill

We have studied the excited states of a one-dimensional donor dimer array by using time-dependent Hartree-Fock and density-functional theories. We find that tuning the inter-donor distances can induce a topological phase transition from a…

Mesoscale and Nanoscale Physics · Physics 2020-11-16 Wei Wu , A. J. Fisher

We report the first detection of the Higgs-type amplitude mode using Bragg spectroscopy in a strongly interacting condensate of ultracold atoms in an optical lattice. By the comparison of our experimental data with a spatially resolved,…

Quantum Gases · Physics 2011-06-01 U. Bissbort , S. Götze , Y. Li , J. Heinze , J. S. Krauser , M. Weinberg , C. Becker , K. Sengstock , W. Hofstetter