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One of the most striking manifestations of electronic properties of topological insulators is the dependence of the photocurrent direction on the helicity of circularly polarized optical excitation. The helicity dependent photocurrents,…

Recently, the topological classification of electronic states has been extended to a new class of matter known as topological crystalline insulators. Similar to topological insulators, topological crystalline insulators also have…

Mesoscale and Nanoscale Physics · Physics 2014-07-04 Duming Zhang , Hongwoo Baek , Jeonghoon Ha , Tong Zhang , Jonathan E. Wyrick , Albert V. Davydov , Young Kuk , Joseph A. Stroscio

The impact of Coulomb interaction on the electronic properties of a quantum spin-Hall insulator is studied using quantum cluster methods, disentangling local from non-local effects. We identify different regimes, according to the value of…

Strongly Correlated Electrons · Physics 2021-12-22 Lorenzo Crippa , Adriano Amaricci , Severino Adler , Giorgio Sangiovanni , Massimo Capone

Topological insulators subject to a time-symmetry-breaking perturbation are predicted to display a magneto-electric effect that causes the electric and magnetic induction fields to mix at the material's surface. This effect induces…

Optics · Physics 2015-10-22 J. A. Crosse

We develop a theory for the compressibility of the surface states of 3D topological insulators and propose that surface probes of the compressibility via scanning single electron transistor microscopy will be a straightforward way to access…

Mesoscale and Nanoscale Physics · Physics 2013-02-06 D. S. L. Abergel , S. Das Sarma

Topology is now securely established as a means to explore and classify electronic states in crystalline solids. This review provides a gentle but firm introduction to topological electronic band structure suitable for new researchers in…

Strongly Correlated Electrons · Physics 2023-09-28 Andrew T. Boothroyd

The magnetic field opens a gap in the edge state spectrum of two-dimensional topological insulators thereby destroying protection of these states against backscattering. To relate properties of this gap to parameters of the system and to…

Mesoscale and Nanoscale Physics · Physics 2015-05-25 O. E. Raichev

Correlated topological materials often maintain a delicate balance among physical symmetries: many topological orders are symmetry protected, while most correlated phenomena arise from spontaneous symmetry breaking. It is rare to find cases…

The possibility of realizing topological insulators by spontaneous formation of electronic superstructure is theoretically investigated in a minimal two-orbital model including both the spin-orbit coupling and electron correlations on a…

Strongly Correlated Electrons · Physics 2016-06-21 Yusuke Sugita , Yukitoshi Motome

The recent discoveries about topological insulators have been promoting theoretical and experimental research. In this dissertation, the basic concepts of topological insulators and the Quantum Hall Effect are reviewed focusing the…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Manuel B. Santos

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…

Mesoscale and Nanoscale Physics · Physics 2021-01-08 Sander H. Kooi , Guido van Miert , Carmine Ortix

Topological insulators are found in materials that have elements with strong spin orbit interaction. However, electron Coulomb repulsion also potentially generates the topological insulators as well as Chern insulators by the mechanism of…

Strongly Correlated Electrons · Physics 2014-07-01 Masatoshi Imada , Youhei Yamaji , Moyuru Kurita

The reentrant integer quantum Hall effects (RIQHE) are due to formation of electronic crystals. We show analytically and numerically that topological textures in the charge density distribution in these crystals in the vicinity of charged…

Mesoscale and Nanoscale Physics · Physics 2017-05-16 G. E. Simion , T-G. Lin , J. D. Watson , M. J. Manfra , G. A. Csáthy , L. P. Rokhinson , Y. B. Lyanda-Geller

We show here that numerous examples abound where changing topology does not necessarily close the bulk insulating charge gap as demanded in the standard non-interacting picture. From extensive determinantal and dynamical cluster quantum…

Strongly Correlated Electrons · Physics 2024-01-12 Peizhi Mai , Jinchao Zhao , Thomas A. Maier , Barry Bradlyn , Philip W. Phillips

Topological insulators are a novel class of quantum materials in which time-reversal symmetry, relativistic (spin-orbit) effects and an inverted band structure result in electronic metallic states on the surfaces of bulk crystals. These…

In quantum simulation, many-body phenomena are probed in controllable quantum systems. Recently, simulation of Bose-Hubbard Hamiltonians using cold atoms revealed previously hidden local correlations. However, fermionic many-body Hubbard…

Mesoscale and Nanoscale Physics · Physics 2016-04-26 J. Salfi , J. A. Mol , R. Rahman , G. Klimeck , M. Y. Simmons , L. C. L. Hollenberg , S. Rogge

I study the effects of particle-hole imbalance on the exciton superfluid formed in a topological insulator thin-film and obtain the mean-field phase diagram. At finite imbalance a spatially modulated condensate is formed, akin to the…

Strongly Correlated Electrons · Physics 2012-06-26 Babak Seradjeh

We investigated the electronic properties of the topological insulator Bi$_{2}$Te$_{3}$ by scanning tunneling microscopy and spectroscopy at low temperature. We obtained high-resolution quasiparticle interference data of the topological…

We discuss phenomena arising from the combined influence of electron correlation and spin-orbit coupling, with an emphasis on emergent quantum phases and transitions in heavy transition metal compounds with 4d and 5d elements. A common…

Strongly Correlated Electrons · Physics 2014-03-14 William Witczak-Krempa , Gang Chen , Yong Baek Kim , Leon Balents

We analyze the influence of different on-site and inter-site interactions on the Curie temperature of transition metal magnetic elements. The numerical calculations show the well known result that the on-site Coulomb repulsion helps…

Strongly Correlated Electrons · Physics 2016-08-16 G. Górski , J. Mizia