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The experimental realization of the Harper-Hofstadter model in ultra-cold atomic gases has placed fractional states of matter in these systems within reach---a fractional Chern insulator state (FCI) is expected to emerge for sufficiently…

强关联电子 · 物理学 2018-09-13 Xiao-Yu Dong , Adolfo G. Grushin , Johannes Motruk , Frank Pollmann

We describe a protocol to read out the topological invariant of interacting 1D chiral models, based on measuring the mean chiral displacement of time-evolving bulk excitations. We present analytical calculations and numerical Matrix Product…

量子气体 · 物理学 2020-08-06 Andreas Haller , Pietro Massignan , Matteo Rizzi

The hallmark of topological phases is their robust boundary signature whose intriguing properties---such as the one-way transport on the chiral edge of a Chern insulator and the sudden disappearance of surface states forming open Fermi arcs…

介观与纳米尺度物理 · 物理学 2017-09-08 Flore K. Kunst , Maximilian Trescher , Emil J. Bergholtz

We investigate the topological properties of the bond order wave phase arising in the extended Fermi-Hubbard model. In particular, we uncover a topological sector, which remained elusive in previous finite-size numerical studies due to…

The recently discovered three dimensional or bulk topological insulators are expected to exhibit exotic quantum phenomena. It is believed that a trivial insulator can be twisted into a topological state by modulating the spin-orbit…

介观与纳米尺度物理 · 物理学 2011-10-24 Su-Yang Xu , Y. Xia , L. A. Wray , D. Qian , Shuang Jia , J. H. Dil , F. Meier , J. Osterwalder , B. Slomski , H. Lin , R. J. Cava , M. Z. Hasan

Here we study the systematic evolution of the topological properties of a Chern insulator in presence of an electronic dispersion that can be tuned smoothly from being Dirac-like till a semi-Dirac one and beyond. The band structure under…

介观与纳米尺度物理 · 物理学 2022-03-31 Sayan Mondal , Priyadarshini Kapri , Bashab Dey , Tarun Kanti Ghosh , Saurabh Basu

We show that a semiconductor thin film can acquire a non-trivial spin texture due to the proximity effect induced by a topological insulator. The effect stems from coupling to the topological surface states and is present even when the…

介观与纳米尺度物理 · 物理学 2015-03-19 Jimmy A. Hutasoit , Tudor D. Stanescu

Topologically ordered phases are characterized by long-range quantum entanglement and fractional statistics rather than by symmetry breaking. First observed in a fractionally filled continuum Landau level, topological order has since been…

We study topological properties of the Bose-Hubbard model with repulsive interactions in a one-dimensional optical superlattice. We find that the Mott insulator states of the single-component (two-component) Bose-Hubbard model under…

量子气体 · 物理学 2015-06-15 Shi-Liang Zhu , Z. D. Wang , Y. -H. Chan , L. -M. Duan

In this work, we study the topological phases of the dimerized square lattice in the presence of an external magnetic field. The dimerization pattern in the lattice's hopping amplitudes can induce a series of bulk energy gap openings in the…

介观与纳米尺度物理 · 物理学 2021-07-29 Zheng-Wei Zuo , Wladimir A. Benalcazar , Yunzhe Liu , Chao-Xing Liu

We study two models for spinless fermions featuring topologically non-trivial bands characterized by Chern numbers $C=\pm1$ at fractional filling. Using exact diagonalization, we show that, even for infinitely strong nearest-neighbor…

强关联电子 · 物理学 2014-04-02 Stefanos Kourtis , Titus Neupert , Claudio Chamon , Christopher Mudry

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…

Topological quantum optical states in one-dimensional (1D) quasiperiodic cold atomic chains are studied in this work. We propose that by introducing incommensurate modulations on the interatomic distances of 1D periodic atomic chains, the…

光学 · 物理学 2021-02-03 B. X. Wang , C. Y. Zhao

The interplay between many-body interactions and the kinetic energy gives rise to rich phase diagrams hosting, among others, interaction-induced topological phases. These phases are characterized by both a local order parameter and a global…

We show that one-dimensional quasi-periodic optical lattice systems can exhibit edge states and topological phases which are generally believed to appear in two-dimensional systems. When the Fermi energy lies in gaps, the Fermi system on…

量子气体 · 物理学 2012-08-02 Li-Jun Lang , Xiaoming Cai , Shu Chen

Topological phases and topological phase transitions (TPT) are among the most fantastic phenomena in Nature. Here we show that injecting a current may lead to new topological phases, especially new gapless topological metallic phases with…

介观与纳米尺度物理 · 物理学 2023-03-14 Fadi Sun , Jinwu Ye

The onset of the topological phase transition in a two-dimensional model for a Chern Insulator, namely the Qi-Wu-Zhang(QWZ) model, is illustrated, with particular emphasis on the appearance of chiral edge-modes. The edge-modes are studied…

介观与纳米尺度物理 · 物理学 2023-11-16 Arjo Dasgupta , Indra Dasgupta

We numerically investigate the surface states of a strong topological insulator in the presence of strong electron-electron interactions. We choose a spherical topological insulator geometry to make the surface amenable to a finite size…

强关联电子 · 物理学 2015-07-08 T. Neupert , S. Rachel , R. Thomale , M. Greiter

The extended Hubbard model with an attractive density-density interaction, positive pair hopping, or both, is shown to host topological phases, with a doubly degenerate entanglement spectrum and interacting edge spins. This constitutes a…

强关联电子 · 物理学 2020-08-11 Roman Rausch , Matthias Peschke

One of the most important practical hallmarks of topological matter is the presence of topologically protected, exponentially localised edge states at interfaces of regions characterised by unequal topological invariants. Here, we show that…

介观与纳米尺度物理 · 物理学 2024-01-01 Suraj S. Hegde , Toni Ehmcke , Tobias Meng