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Symmetries play an essential role in identifying and characterizing topological states of matter. Here, we classify topologically two-dimensional (2D) insulators and semimetals with vanishing spin-orbit coupling using time-reversal…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Guido van Miert , Carmine Ortix , Cristiane Morais Smith

We study by a consistent mean-field scheme the role on the single- and two-particle properties of a local electron-electron repulsion in the Bernevig, Hughes and Zhang model of a quantum spin Hall insulator. We find that the interaction…

Strongly Correlated Electrons · Physics 2020-07-29 A. Blason , M. Fabrizio

In this paper, we investigate theoretically the spin-orbit torque as well as the Gilbert damping for a two band model of a 2D helical surface state with a Ferromagnetic (FM) exchange coupling. We decompose the density matrix into the Fermi…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Farzad Mahfouzi , Nicholas Kioussis

Topological insulators insulate in the bulk but exhibit robust conducting edge states protected by the topology of the bulk material. Here, we design a colloidal topological insulator and demonstrate experimentally the occurrence of edge…

The interplay between topology and correlations can generate a variety of quantum phases, many of which remain to be explored. Recent advances have identified monolayer WTe2 as a promising material for doing so in a highly tunable fashion.…

Topological insulators are characterized by an inverted band structure in the bulk and metallic surface states on the surface. In LaBi, a semimetal with a band inversion equivalent to a topological insulator, we observe surface state like…

We investigate the spin and orbital correlations of a superexchange model with spin $S=1$ and orbital $L=1$ relevant for $5d^4$ transition metal Mott insulators, using exact diagonalization and density matrix renormalization group (DMRG).…

Strongly Correlated Electrons · Physics 2020-04-15 Shi Feng , Niravkumar D. Patel , Panjin Kim , Jung Hoon Han , Nandini Trivedi

We design an interaction-driven topological insulator for fermionic cold atoms in an optical lattice, that is, we pose the question of whether we can realize in a continuous space a spontaneous symmetry breaking induced by the inter-atom…

Quantum Gases · Physics 2015-07-24 Sota Kitamura , Naoto Tsuji , Hideo Aoki

Focusing on the recently-discovered candidate topological insulator $\alpha$-(BEDT-TSeF)$_2$I$_3$ -- having two-dimensional charge-neutral Dirac cones in a low symmetry lattice -- we combine ab-initio and extended-Hubbard model calculations…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 Daigo Ohki , Kazuyoshi Yoshimi , Akito Kobayashi

The surface of a 3D topological insulator is a new type of two dimensional electron gas (2DEG). The exactly quantized magneto-optical or axionic response of a 3D topological insulator is a direct result of the Berry's phase protected…

Mesoscale and Nanoscale Physics · Physics 2011-10-24 M. Zahid Hasan

Quantum spin Hall insulators (QSHIs), also known as two-dimensional topological insulators, have emerged as an unconventional class of quantum states with insulating bulk and conducting edges originating from nontrivial inverted band…

Mesoscale and Nanoscale Physics · Physics 2016-11-11 Takafumi Akiho , François Couëdo , Hiroshi Irie , Kyoichi Suzuki , Koji Onomitsu , Koji Muraki

We explore potentials that break time-reversal symmetry to confine the surface states of 3D topological insulators into quantum wires and quantum dots. A magnetic domain wall on a ferromagnet insulator cap layer provides interfacial states…

Mesoscale and Nanoscale Physics · Physics 2013-09-06 Gerson J. Ferreira , Daniel Loss

We present a recipe for an electronic 2D higher order topological insulator (HOTI) on the triangular lattice that can be realized in a large family of materials. The essential ingredient is mirror symmetry breaking, which allows for a…

Mesoscale and Nanoscale Physics · Physics 2023-03-29 Philipp Eck , Yuan Fang , Domenico Di Sante , Giorgio Sangiovanni , Jennifer Cano

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

The metallic surface state of a topological insulator (TI) is not only topologically protected, but exhibits a remarkable property of inducing an effective vector potential on curved surfaces. For an electron in the surface state of a…

Mesoscale and Nanoscale Physics · Physics 2013-05-08 Ken-Ichiro Imura , Yositake Takane

Recent topological band theory distinguishes electronic band insulators with respect to various symmetries and topological invariants, most commonly, the time reversal symmetry and the $\rm Z_2$ invariant. The interface of two topologically…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 S. U. Piatrusha , E. S. Tikhonov , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , V. S. Khrapai

Transport and local spectroscopy measurements have revealed that monolayers of tungsten ditelluride ($1T'$-WTe$_2$) display a quantum spin Hall effect and an excitonic gap at neutrality, besides becoming superconducting at low electron…

Strongly Correlated Electrons · Physics 2025-10-08 Guillermo Parra-Martínez , Daniel Muñoz-Segovia , Héctor Ochoa , Jose Angel Silva-Guillén

Topological insulators, with metallic boundary states protected against time-reversal-invariant perturbations, are a promising avenue for realizing exotic quantum states of matter including various excitations of collective modes predicted…

Strongly Correlated Electrons · Physics 2016-03-04 Yasuyuki Nakajima , Paul Syers , Xiangfeng Wang , Renxiong Wang , Johnpierre Paglione

We present the model of a quantum dot (QD) consisting of a spherical core-bulk heterostructure made of 3D topological insulator (TI) materials, such as PbTe/Pb$_{0.31}$Sn$_{0.69}$Te, with bound massless and helical Weyl states existing at…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 Hari P. Paudel , Michael N. Leuenberger

Two-dimensional (2D) atom lattices provide model setups for Coulomb correlations inducing competing ground states, partly with topological character. Hexagonal SiC(0001) is an intriguing wide-gap substrate, spectroscopically separated from…

Strongly Correlated Electrons · Physics 2015-06-29 Stefan Glass , Gang Li , Florian Adler , Julian Aulbach , Andrzej Fleszar , Ronny Thomale , Werner Hanke , Ralph Claessen , Jörg Schäfer
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