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Related papers: Chiral Ladders and the Edges of Chern Insulators

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Chern insulators are band insulators which exhibit a gap in the bulk and gapless excitations in the edge. Detection of Chern insulators is a serious challenge in cold atoms since the Hall transport measurements are technically unrealistic…

Mesoscale and Nanoscale Physics · Physics 2013-09-30 Xiong-Jun Liu , K. T. Law , T. K. Ng , Patrick A. Lee

Topological phases of ultracold atoms recently have been intensively studied both in optical superlattices and Raman lattices. However, the topological features induced by the interplay between such two lattices remain largely unexplored.…

Quantum Gases · Physics 2024-04-18 Jia-Hui Zhang , Bei-Bei Wang , Feng Mei , Jie Ma , Liantuan Xiao , Suotang Jia

Topological states of matter, as quantum Hall systems or topological insulators, cannot be distinguished from ordinary matter by local measurements in the bulk of the material. Instead, global measurements are required, revealing…

Topological insulators are a new phase of matter with the distinctive characteristics of an insulating bulk and conducting edge states. Recent theories indicate there even exist topological edge states in the fractal-dimensional lattices,…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Junkai Li , Yeyang Sun , Qingyang Mo , Zhichao Ruan , Zhaoju Yang

Edge states of chiral topologically ordered phases are commonly described by chiral Luttinger liquids, effective theories that are exact only in the hydrodynamic limit. Motivated by recent bulk observations of fractional Chern insulators…

Strongly Correlated Electrons · Physics 2025-11-24 Yan-Qi Wang , Johannes Motruk , Andrey Grankin , Mohammad Hafezi

We propose a simple method to simulate and detect topological insulators with cold atoms trapped in a one-dimensional bichromatic optical lattice subjected to a time-periodic modulation. The tight-binding form of this shaken system is…

Quantum Gases · Physics 2019-02-25 Feng Mei , Jia-Bin You , Dan-Wei Zhang , X. C. Yang , R. Fazio , Shi-Liang Zhu , L. C. Kwek

Synthetic fields applied to ultracold quantum gases can realize topological phases that transcend conventional Bose and Fermi-liquid paradigms. Raman laser beams in particular are under scrutiny as a route to create synthetic fields in…

Strongly Correlated Electrons · Physics 2018-08-09 Hoi-Yin Hui , Mengsu Chen , S. Tewari , V. W. Scarola

We propose a spin-dependent optical lattice potential that realizes a three-dimensional antiferromagnetic topological insulator in a gas of cold, two-state fermions such as alkaline earths, as well as a model that describes the…

Quantum Gases · Physics 2012-05-11 Andrew M. Essin , Victor Gurarie

We propose a feasible experimental scheme to realize a three-dimensional chiral topological insulator with cold fermionic atoms in an optical lattice, which is characterized by an integer topological invariant distinct from the conventional…

Strongly Correlated Electrons · Physics 2014-07-18 Sheng-Tao Wang , Dong-Ling Deng , Lu-Ming Duan

Ultracold fermions trapped in a honeycomb optical lattice constitute a versatile setup to experimentally realize the Haldane model [Phys. Rev. Lett. 61, 2015 (1988)]. In this system, a non-uniform synthetic magnetic flux can be engineered…

Quantum Gases · Physics 2013-01-15 N. Goldman , E. Anisimovas , F. Gerbier , P. Ohberg , I. B. Spielman , G. Juzeliunas

Realizing the topological bands of helical states poses a challenge in studying ultracold atomic gases. Motivated by the recent experimental success in realizing chiral optical ladders, here we present a scheme for synthesizing topological…

Quantum Gases · Physics 2020-07-14 En Guo Guan , Gang Wang , Jian Hua Jiang , Jun Hu , Ray Kuang Lee

The discovery that the band structure of electronic insulators may be topologically non-trivial has unveiled distinct phases of electronic matter with novel properties. Recently, mechanical lattices have been found to have similarly rich…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Noah P. Mitchell , Lisa M. Nash , Daniel Hexner , Ari Turner , William T. M. Irvine

We predict novel topological phases with broken time-reversal symmetry supporting the coexistence of opposite chiral edge states, which are fundamentally different from the photonic spin-Hall, valley-Hall, and higher-order topological…

Mesoscale and Nanoscale Physics · Physics 2024-02-23 H. C. Wu , H. S. Xu , L. C. Xie , L. Jin

We propose to realize and observe Chern Kondo insulators in an optical superlattice with laser-assisted $s$ and $p$ orbital hybridization and synthetic gauge field, which can be engineered based on the recent cold atom experiments.…

Strongly Correlated Electrons · Physics 2016-01-29 Hua Chen , Xiong-Jun Liu , X. C. Xie

We introduce a simple method to realize and detect photonic topological Chern insulators with one-dimensional circiut quantum electrodynamics arrays. By periodically modulating the couplings of the array, we show that this one-dimensional…

Quantum Physics · Physics 2015-10-21 Feng Mei , Jia-Bin You , Wei Nie , R. Fazio , Shi-Liang Zhu , L. C. Kwek

Understanding the robustness of topological phases of matter in the presence of strong interactions, and synthesising novel strongly-correlated topological materials, lie among the most important and difficult challenges of modern…

Quantum Gases · Physics 2017-10-02 J. Jünemann , A. Piga , S. -J. Ran , M. Lewenstein , M. Rizzi , A. Bermudez

An interesting route to the realization of topological Chern bands in ultracold atomic gases is through the use of optical flux lattices. These models differ from the tight-binding real-space lattice models of Chern insulators that are…

Quantum Gases · Physics 2015-04-24 A. Sterdyniak , B. Andrei Bernevig , Nigel R. Cooper , N. Regnault

Chiral edge states are highly sought-after as paradigmatic topological states relevant to both quantum information processing and dissipationless electron transport. Using superconducting transmon-based quantum computers, we demonstrate…

Strongly Correlated Electrons · Physics 2022-09-30 Jin Ming Koh , Tommy Tai , Ching Hua Lee

In this paper we explore the effects of quasiperiodicity in paradigmatic models of Chern insulators. We identify a plethora of topological phase transitions and characterize them based on spectral and localization properties. Contrary to…

Disordered Systems and Neural Networks · Physics 2022-12-16 Tiago S. Gonçalves , Miguel Gonçalves , Pedro Ribeiro , Bruno Amorim

We propose a Chern insulator in a two-dimensional electron system with Dresselhaus spin-orbit coupling, ferromagnetism, and spin-dependent effective mass. The analytically-obtained topological phase diagrams show the topological phase…

Mesoscale and Nanoscale Physics · Physics 2019-10-10 Rui-An Chang , Ching-Ray Chang
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