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Topological insulators in three dimensions are nonmagnetic insulators that possess metallic surface states as a consequence of the nontrivial topology of electronic wavefunctions in the bulk of the material. They are the first known…

Strongly Correlated Electrons · Physics 2012-01-26 M. Zahid Hasan , Joel E. Moore

Topological insulators have become one of the most active research areas in condensed matter physics. This article reviews progress on the topic of electronic correlations effects in the two-dimensional case, with a focus on systems with…

Strongly Correlated Electrons · Physics 2013-03-08 M. Hohenadler , F. F. Assaad

Topological insulators in three dimensions are studied as a problem of supersymmetric quantum mechanics. The spin-orbit coupling is induced as a consequence of the supersymmetrization procedure and we show that it is equivalent to the…

High Energy Physics - Theory · Physics 2022-04-13 J. Gamboa , F. Mendez

A fundamental open problem in condensed matter physics is how the dichotomy between conventional and topological band insulators is modified in the presence of strong electron interactions. We show that there are 6 new electronic…

Strongly Correlated Electrons · Physics 2014-02-10 Chong Wang , Andrew C. Potter , T. Senthil

We study the effects of e-e interaction in a 3D Crystalline Topological Insulator by adding on-site repulsion to the single-particle Hamiltonian and solving the many-body problem within Cluster Perturbation Theory. The goal is to clarify…

Strongly Correlated Electrons · Physics 2021-03-17 Franca Manghi

Recent developments of experimental techniques have given us unprecedented opportunities of studying topological insulators in high dimensions, while some of the dimensions are "synthetic", in the sense that the effective lattice momenta…

Strongly Correlated Electrons · Physics 2018-11-28 Chao-Ming Jian , Cenke Xu

In this paper we review some connections recently discovered between topological insulators and certain classes of quantum spin liquids, focusing on two and three spatial dimensions. In two dimensions we show the integer quantum Hall effect…

Strongly Correlated Electrons · Physics 2012-03-29 Gregory A. Fiete , Victor Chua , Mehdi Kargarian , Rex Lundgren , Andreas Ruegg , Jun Wen , Vladimir Zyuzin

One of the defining properties of the conventional three-dimensional ("$\mathbb{Z}_2$-", or "spin-orbit"-) topological insulator is its characteristic magnetoelectric effect, as described by axion electrodynamics. In this paper, we discuss…

Strongly Correlated Electrons · Physics 2012-06-14 Shinsei Ryu , Joel E. Moore , Andreas W. W. Ludwig

We study spintronics and spincaloritronics in topological insulators. We show spintronics effects in 2D topological insulator junctions and 3D topological insulators coupled to ferromagnets. We also investigate spin polarization on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Takehito Yokoyama , Shuichi Murakami

We introduce a new class of superconductors (SCs) in two spatial dimensions with time reversal symmetry and reflection (i.e., mirror) symmetry. In the absence of interactions, topological classes of these SCs are distinguished by an…

Strongly Correlated Electrons · Physics 2014-02-05 Hong Yao , Shinsei Ryu

We discuss physical properties of `integer' topological phases of bosons in D=3+1 dimensions, protected by internal symmetries like time reversal and/or charge conservation. These phases invoke interactions in a fundamental way but do not…

Strongly Correlated Electrons · Physics 2013-03-14 Ashvin Vishwanath , T. Senthil

We proposed an action of neutral fermions interacting with external electromagnetic fields to construct a 3+1 dimensional topological field theory as the effective action attained by integrating out the fermionic fields in the related path…

Mathematical Physics · Physics 2013-07-09 O. F. Dayi , M. Elbistan

We resolve several puzzles related to the electromagnetic response of topological superconductors in 3+1 dimensions. In particular we show by an analytical calculation that the interface between a topological and normal superconductor does…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Marcus Stålhammar , Michael Stone , Masatoshi Sato , Thors Hans Hansson

We provide a characterization of tunneling between coupled topological insulators in 2D and 3D under the influence of a ferromagnetic layer. We explore conditions for such systems to exhibit integer quantum Hall physics and localized…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Qinglei Meng , Smitha Vishveshwara , Taylor L. Hughes

The surface bound electronic states of three-dimensional topological insulators, as well as the edge states in two-dimensional topological insulators, are investigated in the presence of a circularly polarized light. The strong coupling…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Andrii Iurov , Godfrey Gumbs , Oleksiy Roslyak , Danhong Huang

Step edges of topological crystalline insulators can be viewed as predecessors of higher-order topology, as they embody one-dimensional edge channels embedded in an effective three-dimensional electronic vacuum emanating from the…

We theoretically consider temperature and density-dependent electron-phonon interaction induced many-body effects in the two-dimensional (2D) metallic carriers confined on the surface of the 3D topological insulator (e.g. Bi$_2$Se$_3$). We…

Mesoscale and Nanoscale Physics · Physics 2013-08-21 S. Das Sarma , Qiuzi Li

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

Topological crystalline insulators are phases of matter where the crystalline symmetries solely protect the topology. In this work, we explore the effect of many-body interactions in a subclass of topological crystalline insulators, namely…

Strongly Correlated Electrons · Physics 2023-05-25 Devendra Singh Bhakuni , Amrita Ghosh , Eytan Grosfeld

We will study a class of system composed of interacting unicyclic machines placed in contact with a hot and cold thermal baths subjected to a non-conservative driving worksource. Despite their simplicity, these models showcase an intricate…

Statistical Mechanics · Physics 2023-10-19 Iago N. Mamede , Karel Proesmans , Carlos E. Fiore
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