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We exploit the analogy with the quantum Hall (QH) effect for electrons to study the possible atomic QH states of a rapidly-rotating Bose-Einstein condensate. Actually, there is a nearly perfect map of the present problem in the QH regime to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Zeng-Bing Chen , Bo Zhao , Yong-De Zhang

We investigate the ground state properties of a bosonic Harper-Hofstadter model with local interactions on a finite cylindrical lattice with filling fraction $\nu=1/2$. We find that our system supports topologically ordered states by…

Mesoscale and Nanoscale Physics · Physics 2019-03-12 Paolo Rosson , Michael Lubasch , Martin Kiffner , Dieter Jaksch

The topological property in one dimension (1D) is protected by symmetry. Based on a concrete model, we show that since a 1D topological model usually contain two of the three Pauli matrix, the left one automatically become the protecting…

Mesoscale and Nanoscale Physics · Physics 2016-04-21 Jihong Qin , Huaiming Guo

We discuss the existence of a nontrivial topological phase in one-dimensional interacting systems described by the extended Bose-Hubbard model with a mean filling of one boson per site. Performing large-scale density-matrix renormalization…

Quantum Gases · Physics 2014-07-11 Satoshi Ejima , Florian Lange , Holger Fehske

The realization of artificial gauge fields in ultracold atomic gases has opened up a path towards experimental studies of topological insulators and, as an ultimate goal, topological quantum matter in many-body systems. As an alternative to…

Strongly Correlated Electrons · Physics 2020-10-29 Leo Stenzel , Andrew L. C. Hayward , Claudius Hubig , Ulrich Schollwöck , Fabian Heidrich-Meisner

We study the fractional quantum Hall effect in three dimensional systems consisting of infinitely many stacked two dimensional electron gases placed in transverse magnetic fields. This limit introduces new features into the bulk physics…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

The field of topological insulators (TIs) is rapidly growing. Concerning possible applications, the search for materials with an easily controllable TI phase is a key issue. The quantum spin Hall effect, characterized by a single pair of…

Mesoscale and Nanoscale Physics · Physics 2012-03-21 Paolo Michetti , Jan C. Budich , Elena G. Novik , Patrik Recher

The paired top and bottom Dirac surface states, each associated with a half-integer quantum Hall (QH) effect, and a resultant integer QH conductance ({\nu}e2/h), are hallmarks of a three-dimensional (3D) topological insulator (TI). In a…

Mesoscale and Nanoscale Physics · Physics 2020-01-07 Su Kong Chong , Kyu Bum Han , Taylor D. Sparks , Vikram V. Deshpande

The quantum spin Hall (QSH) state is a topologically non-trivial state of quantum matter which preserves time-reversal symmetry; it has an energy gap in the bulk, but topologically robust gapless states at the edge. Recently, this novel…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chaoxing Liu , Taylor L. Hughes , Xiao-Liang Qi , Kang Wang , Shou-Cheng Zhang

We study a topological phase of interacting bosons in (3+1) dimensions which is protected by charge conservation and time-reversal symmetry. We present an explicit lattice model which realizes this phase and which can be studied in…

Statistical Mechanics · Physics 2014-12-31 Scott Geraedts , Olexei Motrunich

We study the quantized charge pumping of higher-order topological insulators (HOTIs) with edge-corner correspondences based on the combination of the rotation of in-plane magnetic field and the quantum spin Hall effect. A picture of a…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 Bing-Lan Wu , Ai-Min Guo , Zhi-Qiang Zhang , Hua Jiang

The realization of the quantum anomalous Hall (QAH) effect without magnetic doping attracts intensive interest since magnetically doped topological insulators usually possess inhomogeneity of ferromagnetic order. Here, we propose a…

Disordered Systems and Neural Networks · Physics 2022-01-11 Zhen Ning , Baobing Zheng , Dong-Hui Xu , Rui Wang

Quantum spin Hall (QSH) state of matter has a charge excitation bulk bandgap and a pair of gapless spin-filtered edge-states, which can support backscattering-free transport. Bilayer phosphorene possesses a large tunable bandgap and high…

Materials Science · Physics 2015-02-09 Tian Zhang , Jia-He Lin , Yan-Mei Yu , Xiang-Rong Chen , Wu-Ming Liu

We show that there is an emergent lattice description for the continuous fractional quantum Hall (FQH) systems, with a generalised set of few-body coherent states. In particular, model Hamiltonians of the FQH effect are equivalent to the…

Strongly Correlated Electrons · Physics 2020-12-02 Bo Yang

We investigate topological charge pumping in a system of interacting bosons in the tight-binding limit, described by the Rice-Mele model. An appropriate topological invariant for the many-body case is the change of polarization per pump…

Quantum Gases · Physics 2019-01-02 A. L. C. Hayward , C. Schweizer , M. Lohse , M. Aidelsburger , F. Heidrich-Meisner

A general mechanism is presented by which topological physics arises in strongly correlated systems without flat bands. Starting from a charge transfer insulator, topology emerges when the charge transfer energy between the cation and anion…

Strongly Correlated Electrons · Physics 2022-09-08 Trithep Devakul , Liang Fu

The close theoretical analogy between the physics of rapidly rotating atomic Bose condensates and the quantum Hall effect (i.e., a two dimensional electron gas in a strong magnetic field) was first pointed out ten years ago. As a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Susanne Viefers

We study the quantum anomalous Hall effect described by a class of two-component Haldane models on square lattices. We show that the latter can be transformed into a pseudospin triplet p+ip-wave paired superfluid. In the long wave length…

Strongly Correlated Electrons · Physics 2015-03-17 Xuele Liu , Ziqiang Wang , X. C. Xie , Yue Yu

In this work, we theoretically investigate the light-induced topological phases and finite-size crossovers in a paradigmatic quantum spin Hall (QSH) system with high-frequency pumping optics. Taking the HgTe quantum well for an example, our…

Mesoscale and Nanoscale Physics · Physics 2023-12-22 Fang Qin , Ching Hua Lee , Rui Chen

Topological states of quantum matter have inspired both fascinating physics findings and exciting opportunities for applications. Due to the over-complicated structure of, as well as interactions between, real materials, a faithful quantum…

Quantum Physics · Physics 2021-04-19 Jia Liu , Jun-Yi Cao , Gang Chen , Zheng-Yuan Xue