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Topological insulators can be generally defined by a topological field theory with an axion angle theta of 0 or pi. In this work, we introduce the concept of fractional topological insulator defined by a fractional axion angle and show that…

强关联电子 · 物理学 2010-12-14 Joseph Maciejko , Xiao-Liang Qi , Andreas Karch , Shou-Cheng Zhang

Topological insulators are characterized by the presence of gapless surface modes protected by time-reversal symmetry. In three space dimensions the magnetoelectric response is described in terms of a bulk theta term for the electromagnetic…

强关联电子 · 物理学 2013-05-29 Brian Swingle , Maissam Barkeshli , John McGreevy , T. Senthil

We construct the symmetric-gapped surface states of a fractional topological insulator with electromagnetic $\theta$-angle $\theta_{em} = \frac{\pi}{3}$ and a discrete $\mathbb{Z}_3$ gauge field. They are the proper generalizations of the…

强关联电子 · 物理学 2017-11-15 Gil Young Cho , Jeffrey C. Y. Teo , Eduardo Fradkin

We present a general framework for analyzing fractionalized, time reversal invariant electronic insulators in two dimensions. The framework applies to all insulators whose quasiparticles have abelian braiding statistics. First, we construct…

强关联电子 · 物理学 2013-05-30 Michael Levin , Ady Stern

Fractional topological insulators are electronic systems that carry fractionally charged excitations, conserve charge and are symmetric to reversal of time. In this review we introduce the basic essential concepts of the field, and then…

强关联电子 · 物理学 2016-04-20 Ady Stern

A time-reversal invariant topological insulator can be generally defined by the effective topological field theory with a quantized \theta coefficient, which can only take values of 0 or \pi. This theory is generally valid for an…

强关联电子 · 物理学 2012-09-25 Zhong Wang , Xiao-Liang Qi , Shou-Cheng Zhang

Three dimensional topological insulator represents a class of novel quantum phases hosting robust gapless boundary excitations, which is protected by global symmetries such as time reversal, charge conservation and spin rotational symmetry.…

介观与纳米尺度物理 · 物理学 2014-03-25 Yuan-Ming Lu , Dung-Hai Lee

A 3D fermionic topological insulator has a gapless Dirac surface state protected by time-reversal symmetry and charge conservation symmetry. The surface state can be gapped by introducing ferromagnetism to break time-reversal symmetry,…

强关联电子 · 物理学 2013-09-24 Parsa Bonderson , Chetan Nayak , Xiao-Liang Qi

Topological phases of matter are described universally by topological field theories in the same way that symmetry-breaking phases of matter are described by Landau-Ginzburg field theories. We propose that topological insulators in two and…

强关联电子 · 物理学 2015-03-17 Gil Young Cho , Joel E. Moore

Topological phases of matter are usually realized in deconfined phases of gauge theories. In this context, confined phases with strongly fluctuating gauge fields seem to be irrelevant to the physics of topological phases. For example, the…

强关联电子 · 物理学 2016-09-06 Peng Ye , Taylor L. Hughes , Joseph Maciejko , Eduardo Fradkin

The topology of insulators is usually revealed through the presence of gapless boundary modes: this is the so-called bulk-boundary correspondence. However, the many-body wavefunction of a crystalline insulator is endowed with additional…

介观与纳米尺度物理 · 物理学 2021-01-08 Sander H. Kooi , Guido van Miert , Carmine Ortix

We lay out an experiment to realize time-reversal invariant topological insulators in alkali atomic gases. We introduce an original method to synthesize a gauge field in the near-field of an atom-chip, which effectively mimics the effects…

We construct exactly soluble lattice models for fractionalized, time reversal invariant electronic insulators in 2 and 3 dimensions. The low energy physics of these models is exactly equivalent to a non-interacting topological insulator…

强关联电子 · 物理学 2013-05-29 Michael Levin , F. J. Burnell , Maciej Koch-Janusz , Ady Stern

In this work we explore experimental signatures of fractional topological insulators in three dimensions. These are states of matter with a fully gapped bulk that host exotic gapless surface states and fractionally charged quasiparticles.…

强关联电子 · 物理学 2013-05-30 Brian Swingle

We analyze generalizations of two dimensional topological insulators which can be realized in interacting, time reversal invariant electron systems. These states, which we call fractional topological insulators, contain excitations with…

介观与纳米尺度物理 · 物理学 2011-08-26 Michael Levin , Ady Stern

Topological insulators are a broad class of unconventional materials that are insulating in the interior but conduct along the edges. This edge transport is topologically protected and dissipationless. Until recently, all existing…

The detection of topological phases of matter becomes a central issue in recent years. Conventionally, the realization of a specific topological phase in condensed matter physics relies on probing the underlying surface band dispersion or…

量子物理 · 物理学 2020-09-02 Tao Xin , Yishan Li , Yu-ang Fan , Xuanran Zhu , Yingjie Zhang , Xinfang Nie , Jun Li , Qihang Liu , Dawei Lu

The coupled-wires approach has been shown to be useful in describing two-dimensional strongly interacting topological phases. In this manuscript we extend this approach to three-dimensions, and construct a model for a fractional strong…

介观与纳米尺度物理 · 物理学 2015-11-25 Eran Sagi , Yuval Oreg

We consider antiferromagnets breaking both time-reversal (Theta) and a primitive lattice translational symmetry (T) of a crystal but preserving the combination S = Theta T. The S symmetry leads to a Z_2 topological classification of…

介观与纳米尺度物理 · 物理学 2010-06-22 Roger S. K. Mong , Andrew M. Essin , Joel E. Moore

Recently, it has been proposed that exotic one-dimensional phases can be realized by gapping out the edge states of a fractional topological insulator. The low-energy edge degrees of freedom are described by a chain of coupled parafermions.…

强关联电子 · 物理学 2013-10-11 Johannes Motruk , Ari M. Turner , Erez Berg , Frank Pollmann
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