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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

In this work we study the possible occurrence of topological insulators for 2D fermions of high spin. They can be realized in cold fermion systems with ground-state atomic spin $F>\tfrac{1}{2}$, if the optical potential is properly…

强关联电子 · 物理学 2018-10-31 Igor Kuzmenko , Tetyana Kuzmenko , Yshai Avishai , Masatoshi Sato

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 extend the coupled-wire construction of quantum Hall phases, and search for fractional topological insulating states in models of weakly coupled wires at zero external magnetic field. Focussing on systems beyond double copies of…

介观与纳米尺度物理 · 物理学 2015-06-23 Tobias Meng , Eran Sela

We give field theory descriptions of the time-reversal invariant quantum spin Hall insulator in 2+1 dimensions and the particle-hole symmetric insulator in 1+1 dimensions in terms of massive Dirac fermions. Integrating out the massive…

高能物理 - 理论 · 物理学 2018-11-27 Andreas Karch , Joseph Maciejko , Tadashi Takayanagi

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

We provide an effective description of fractional topological insulators that include the fractional quantum spin Hall effect by considering the time-reversal symmetric pendant to the topological quantum field theories that encode the…

强关联电子 · 物理学 2013-05-29 Luiz Santos , Titus Neupert , Shinsei Ryu , Claudio Chamon , Christopher Mudry

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

While free fermion topological crystalline insulators have been largely classified, the analogous problem in the strongly interacting case has been only partially solved. In this paper, we develop a characterization and classification of…

强关联电子 · 物理学 2024-02-26 Naren Manjunath , Vladimir Calvera , Maissam Barkeshli

We consider a disordered topological insulator thin film placed on the top of a ferromagnetic insulator with a perpendicular exchange field $M$ and subjected to a perpendicular electric field. The presence of ferromagnetic insulator causes…

介观与纳米尺度物理 · 物理学 2022-11-15 Siamak Pooyan , Mir Vahid Hosseini

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

We present a theory of three dimensional fractionalized topological insulators in the form of U(1) spin liquids with gapped fermionic spinons in the bulk and topologically protected gapless spinon surface states. Starting from a spin-1/2…

强关联电子 · 物理学 2012-06-27 Subhro Bhattacharjee , Yong Baek Kim , Sung-Sik Lee , Dung-Hai Lee

Much of the recent enthusiasm directed towards topological insulators as a new state of matter is motivated by their hallmark feature of protected chiral edge states. In fermionic systems, Kramers degeneracy gives rise to these entities in…

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…

Making use of index theorem and spin Chern Simons theory, we construct an effective topological field theory of strongly correlated topological insulators coupling to a nonabelian gauge field $ SU(N) $ with an interaction constant $ g $ in…

强关联电子 · 物理学 2011-06-01 K. -S. Park , H. Han

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

Motivated by the recent twisted MoTe$_2$ experiment [arXiv:2601.18508], we develop a disordered interacting edge theory of a fractional topological insulator at $\nu_{\text{tot}}=4/3$, consisting of two time-reversal-conjugated $\nu=2/3$…

强关联电子 · 物理学 2026-03-12 Yang-Zhi Chou , Sankar Das Sarma

Motivated by experimental progress in the growth of heavy transition metal oxides, we theoretically study a class of lattice models of interacting fermions with strong spin-orbit coupling. Focusing on interactions of intermediate strength,…

强关联电子 · 物理学 2014-01-14 Joseph Maciejko , Victor Chua , Gregory A. Fiete

We study an interacting composite $(1+1/n)$ Abelian helical edge state made of a regular helical liquid carrying charge $e$ and a (fractionalized) helical liquid carrying charge $e/n$. A systematic framework is developed for these composite…

强关联电子 · 物理学 2024-10-10 Yang-Zhi Chou , Sankar Das Sarma

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

介观与纳米尺度物理 · 物理学 2017-08-18 Arijit Saha , Arun M. Jayannavar
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