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Topological insulator is a new state of matter which exhibits exotic surface electronic properties. Determining the spin texture of this class of material is of paramount importance for understanding its topological order and can lead to…

Strongly Correlated Electrons · Physics 2016-09-21 Debabrata Sinha

We demonstrate theoretically that the electronic ground state of the potassium-covered Si(111)-B surface is a Mott insulator, explicitly contradicting band theory but in good agreement with recent experiments. We determine the physical…

Materials Science · Physics 2009-10-31 C. Stephen Hellberg , Steven C. Erwin

The topological insulators represent a unique state of matter where the bulk is insulating with an energy gap while the surface is metallic with a Dirac cone protected by the time reversal symmetry. These characteristics provide a venue to…

Quantum oscillations can be used to determine properties of the Fermi surface of metals by varying the magnitude and orientation of an external magnetic field. Topological insulator surface states are an unusual mix of normal and Dirac…

Mesoscale and Nanoscale Physics · Physics 2013-02-11 Anthony R. Wright , Ross H. McKenzie

Various types of metal-insulator transitions are discussed to find conditions for which an ideal surface of a bulk insulator is metallic. It is argued that for the correlation-driven Mott metal-insulator transition the surface phase diagram…

Strongly Correlated Electrons · Physics 2007-05-23 M. Potthoff

We investigate the possibility of embedding minimal abelian surfaces in smooth toric 4-folds with Picard number 2. The existence of such an embedding imposes conditions on the 4-fold, which we partly describe. On the other hand, we exhibit…

Algebraic Geometry · Mathematics 2007-05-23 G. K. Sankaran

In addition to possessing fractional statistics, anyon excitations of a 2D topologically ordered state can realize symmetry in distinct ways , leading to a variety of symmetry enriched topological (SET) phases. While the symmetry…

Strongly Correlated Electrons · Physics 2015-10-28 Xie Chen , Fiona J. Burnell , Ashvin Vishwanath , Lukasz Fidkowski

This paper is the first part in a 2 part study of an elementary functorial construction from the category of finite non-abelian groups to a category of singular compact, oriented 2-manifolds. After a desingularization process this…

Geometric Topology · Mathematics 2013-10-16 Mark Herman , Jonathan Pakianathan , Ergun Yalcin

The orbital-selective Mott phase (OSMP) of multiorbital Hubbard models has been extensively analyzed before using static and dynamical mean-field approximations. In parallel, the properties of Block states (antiferromagnetically coupled…

Strongly Correlated Electrons · Physics 2014-12-09 Julian Rincon , Adriana Moreo , Gonzalo Alvarez , Elbio Dagotto

We have presented an introductory study on surface states of topological insulator, Bi2Se3 based on the first principle

Mesoscale and Nanoscale Physics · Physics 2012-08-16 Wasim Raja Mondal , Swapan K. Pati

Band-topology is traditionally analyzed in terms of gauge-invariant observables associated with crystalline Bloch wavefunctions. Recent work has demonstrated that many of the free fermion topological characteristics survive even in an…

Strongly Correlated Electrons · Physics 2023-01-20 Sunghoon Kim , Adhip Agarwala , Debanjan Chowdhury

Chiral-antichiral pairs of non-Abelian Hall states, like the Pfaffian, Read-Rezayi and NASS states, can be used to model two-dimensional time-reversal invariant topological insulators. Their stability was shown to be associated to the…

Strongly Correlated Electrons · Physics 2015-06-22 Andrea Cappelli , Enrico Randellini

Based on ab initio relativistic ${\mathbf k}\cdot{\mathbf p}$ theory, we derive an effective two-band model for surface states of three-dimensional topological insulators up to seventh order in $\mathbf{k}$. It provides a comprehensive…

Mesoscale and Nanoscale Physics · Physics 2020-10-02 I. A. Nechaev , E. E. Krasovskii

Topological insulators are insulating in the bulk but feature conducting states on their surfaces. Standard methods for probing their topological properties largely involve probing the surface, even though topological invariants are defined…

Chiral surface states in topological insulators are robust against interactions, non-magnetic disorder and localization, yet topology does not yield protection in transport. This work presents a theory of interacting topological insulators…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Dimitrie Culcer

Topological materials are often characterized by unique edge states which are in turn used to detect different topological phases in experiments. Recently, with the discovery of various higher-order topological insulators, such spectral…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Ze-Lin Kong , Zhi-Kang Lin , Jian-Hua Jiang

We study theoretically the distributions of charge and spin polarization of a topological insulator ribbon, with a realistic rectangular cross section. Due to constriction in two lateral directions, the surface states discretize into a…

Materials Science · Physics 2011-12-13 Lei Hao , Peter Thalmeier , T. K. Lee

We consider an interface between two strong time-reversal invariant topological insulators having surface states with opposite spin chirality, or equivalently, opposite mirror Chern number. We show that such an interface supports gapless…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Christophe De Beule , Rolando Saniz , Bart Partoens

Ground state properties of multi-orbital Hubbard models are investigated by the auxiliary field quantum Monte Carlo method. A Monte Carlo technique generalized to the multi-orbital systems is introduced and examined in detail. The algorithm…

Strongly Correlated Electrons · Physics 2009-10-31 Yukitoshi Motome , Masatoshi Imada

Using the recently developed N-th order muffin-tin orbital-based downfolding technique in combination with the Dynamical Mean Field theory, we investigate the electronic properties of the much discussed Mott insulator TiOCl in the…

Strongly Correlated Electrons · Physics 2009-11-10 T. Saha-Dasgupta , A. Lichtenstein , R. Valenti
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