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Topological insulators are a recently discovered class of materials with fascinating properties: While the inside of the solid is insulating, fundamental symmetry considerations require the surfaces to be metallic. The metallic surface…

We discuss the proximate phases of a three-dimensional system with Dirac-like dispersion. Using the cubic lattice with plaquette $\pi$-flux as a model, we find, among others phases, a chiral topological insulator and singlet topological…

Materials Science · Physics 2010-03-11 Pavan Hosur , Shinsei Ryu , Ashvin Vishwanath

The surface of a 3+1d topological insulator hosts an odd number of gapless Dirac fermions when charge conjugation and time-reversal symmetries are preserved. Viewed as a purely 2+1d system, this surface theory would necessarily explicitly…

Strongly Correlated Electrons · Physics 2013-10-29 Michael Mulligan , F. J. Burnell

3D Dirac semi-metals (DSMs) are materials that have massless Dirac electrons and exhibit exotic physical properties It has been suggested that structurally distorting a DSM can create a Topological Insulator (TI), but this has not yet been…

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

The topological state that emerges at the surface of a topological insulator (TI) and at the TI-substrate interface are studied in metal-hBN-Bi2Se3 capacitors. By measuring the RF admittance of the capacitors versus gate voltage, we extract…

Topological semimetals are gapless states of matter which have robust and unique electromagnetic responses and surface states. In this paper, we consider semimetals which have point like Fermi surfaces in various spatial dimensions…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Srinidhi T. Ramamurthy , Taylor L. Hughes

The fractional quantum Hall (FQH) state is a topological state of matter resulting from the many-body effect of interacting electrons and is of vast interest in fundamental physics. The experimental observation of topological surface states…

Strongly Correlated Electrons · Physics 2012-05-15 Dong-Xia Qu , Y. S. Hor , R. J. Cava

The properties of surface Dirac Fermions on a 3D topological insulator in proximity to a magnetic insulator with spatially textured magnetization are considered. We present an exact analytical treatment of the spectrum, the bound states and…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Christian Wickles , Wolfgang Belzig

Magnetic impurities in three-dimensional Dirac and Weyl systems are shown to exhibit a fascinatingly diverse range of Kondo physics, with distinctive experimental spectroscopic signatures. When the Fermi level is precisely at the Dirac…

Strongly Correlated Electrons · Physics 2015-09-22 Andrew K. Mitchell , Lars Fritz

Heavy fermion materials have recently attracted attention for their potential to combine topological protection with strongly correlated electron physics. To date, the ideas of topological protection have been restricted to the heavy…

Strongly Correlated Electrons · Physics 2017-08-03 Po-Yao Chang , Onur Erten , Piers Coleman

The Kondo insulator SmB6 has long been known to exhibit low temperature transport anomalies whose origin is of great interest. Here we uniquely access the surface electronic structure of the anomalous transport regime by combining…

The disadvantage of BaBiO$_3$ of not being a topological insulator despite having symmetry protected Dirac state is overcome by shifting the Fermi level (E$_F$) via fluorination. The DFT calculations reveal that the fluorination neither…

Materials Science · Physics 2019-01-28 Bramhachari Khamari , B. R. K Nanda

Usually the quantum spin Hall states are expected to possess gapless, helical edge modes. Are there clean, non-interacting, quantum spin Hall states without gapless, edge modes? We show the generic, $n$-fold-symmetric, momentum planes of…

Mesoscale and Nanoscale Physics · Physics 2022-06-10 Alexander C. Tyner , Shouvik Sur , Danilo Puggioni , James M. Rondinelli , Pallab Goswami

We propose helical topological superconductivity away from the Fermi surface in three-dimensional time-reversal-symmetric odd-parity multiband superconductors. In these systems, pairing between electrons originating from different bands is…

Mesoscale and Nanoscale Physics · Physics 2024-07-01 Masoud Bahari , Song-Bo Zhang , Chang-An Li , Sang-Jun Choi , Philipp Rüßmann , Carsten Timm , Björn Trauzettel

Using three-dimensional (3D) sonic crystals as acoustic higher-order topological insulators (HOTIs), we discover two-dimensional (2D) surface states described by spin-1 Dirac equations at the interfaces between the two sonic crystals with…

Mesoscale and Nanoscale Physics · Physics 2022-12-02 Fei Meng , Zhi-Kang Lin , Weibai Li , Peiguang Yan , Yun Zheng , Jian-Hua Jiang , Baohua Jia , Xiaodong Huang

The quasi-linear bands in the topologically trivial skutterudite insulator CoSb$_3$ are studied under adiabatic, symmetry-conserving displacement of the Sb sublattice. In this cubic, time-reversal and inversion symmetric system, a…

Strongly Correlated Electrons · Physics 2015-05-19 J. C. Smith , S. Banerjee , V. Pardo , W. E. Pickett

Kondo insulators combine strong electronic correlations with spin orbit coupling and thereby provide a potential realization of correlated topological insulators. We present model calculations which allow us to study the onset of bulk…

Strongly Correlated Electrons · Physics 2014-08-28 Jan Werner , Fakher F. Assaad

Topological crystalline insulators are materials in which the crystalline symmetry leads to topologically protected surface states with a chiral spin texture, rendering them potential candidates for spintronics applications. Using scanning…

The electronic structure of iron pnictides is topologically nontrivial, leading to the appearance of Dirac cones in the band structure for the antiferromagnetic phase. Motivated by the analogy with Dirac cones in graphene, we explore the…

Strongly Correlated Electrons · Physics 2014-08-08 Alexander Lau , Carsten Timm