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In a Dirac semimetal, the conduction and valence bands contact only at discrete (Dirac) points in the Brillouin zone (BZ) and disperse linearly in all directions around these critical points. Including spin, the low energy effective theory…

Mesoscale and Nanoscale Physics · Physics 2012-04-17 S. M. Young , S. Zaheer , J. C. Y. Teo , C. L. Kane , E. J. Mele , A. M. Rappe

In electronic topological Dirac semimetals the conduction and valence bands touch at discrete points in the Brillouin zone and form Dirac cones. They are robust against spin-orbit interaction (SOI) and protected by crystal symmetries. They…

Strongly Correlated Electrons · Physics 2017-09-27 S. A. Owerre

We consider the low-temperature thermal transport properties of the 2D proximity-induced superconducting state formed at the interface between a 3D strong topological insulator (TI) and a d-wave superconductor (dSC). This system is a…

Superconductivity · Physics 2015-10-06 Adam C. Durst

ZrTe$_5$ and HfTe$_5$ have attracted increasingly attention recently since the theoretical prediction of being topological insulators (TIs). However, subsequent works show many contradictions about their topological nature.Three possible…

Materials Science · Physics 2017-04-10 Zongjian Fan , Qi-Feng Liang , Y. B. Chen , Shu-Hua Yao , Jian Zhou

We show that a class of weak three-dimensional topological insulators feature one-dimensional Dirac electrons on their surfaces. Their hallmark is a line-like energy dispersion along certain directions of the surface Brillouin zone. These…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 Alexander Lau , Carmine Ortix , Jeroen van den Brink

Low-energy electrons near Dirac/Weyl nodal points mimic massless relativistic fermions. However, as they are not constrained by Lorentz invariance, they can exhibit tipped-over type-II Dirac/Weyl cones which provide highly anisotropic…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 Xiaoxiao Wu , Xin Li , Ruo-Yang Zhang , Xiao Xiang , Jingxuan Tian , Yingzhou Huang , Shuxia Wang , Bo Hou , C. T. Chan , Weijia Wen

We demonstrate theoretically the coexistence of Dirac semimetal and topological insulator phases in InSb/$\alpha$-Sn conventional semiconductor superlattices, based on advanced first-principles calculations combined with low-energy $k\cdot…

Materials Science · Physics 2016-07-18 Jian-Peng Sun , Jia-ji Zhu , Dong Zhang , Kai Chang

We study the topological properties of the generalized two-dimensional (2D) Su-Schrieffer-Heeger (SSH) models. We show that a pair of Dirac points appear in the Brillouin zone (BZ), consisting a semimetallic phase. Interestingly, the…

Mesoscale and Nanoscale Physics · Physics 2022-08-09 Chang-An Li

The recent theoretical prediction and experimental realization of topological insulators (TI) has generated intense interest in this new state of quantum matter. The surface states of a three-dimensional (3D) TI such as Bi_2Te_3, Bi_2Se_3…

Topological insulators (TIs) present a neoteric class of materials, which support delocalised, conducting surface states despite an insulating bulk. Due to their intriguing electronic properties, their optical properties have received…

Antiferromagnetism, characterized by magnetic moments aligned in alternating directions with a vanished ensemble average, has garnered renewed interest for its potential applications in spintronics and axion dynamics. The synergy between…

Two-dimensional (2D) topological insulators (TIs) with a large bulk band-gap are promising for experimental studies of the quantum spin Hall effect and for spintronic device applications. Despite considerable theoretical efforts in…

Three dimensional (3D) topological insulators are novel states of quantum matter that feature spin-momentum locked helical Dirac fermions on their surfaces and hold promise to open new vistas in spintronics, quantum computing and…

Mesoscale and Nanoscale Physics · Physics 2010-07-30 Su-Yang Xu , L. A. Wray , Y. Xia , R. Shankar , A. Petersen , A. Fedorov , H. Lin , A. Bansil , Y. S. Hor , D. Grauer , R. J. Cava , M. Z. Hasan

We theoretically show that the coupling of inhomogeneous strains to the Dirac fermions of three-dimensional topological insulators (3DTI) in thin film geometries results in the occurrence of phase transitions between topologically distinct…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Raffaele Battilomo , Niccoló Scopigno , Carmine Ortix

We reconsider the phase diagram of a three-dimensional $\mathbb{Z}_2$ topological insulator in the presence of short-ranged potential disorder with the insight that non-perturbative rare states destabilize the noninteracting Dirac semimetal…

Disordered Systems and Neural Networks · Physics 2024-06-28 Yixing Fu , Justin H. Wilson , David A. Huse , J. H. Pixley

We study a two-dimensional (2D) tight-binding model of a topological crystalline insulator (TCI) protected by rotation symmetry. The model is built by stacking two Chern insulators with opposite Chern numbers which transform under conjugate…

Mesoscale and Nanoscale Physics · Physics 2019-07-22 Shang Liu , Ashvin Vishwanath , Eslam Khalaf

The energy-momentum relationship of electrons on the surface of an ideal "Hydrogen-Atom" Topological Insulator forms a cone - a Dirac cone, which, when warped and distorted (no longer described by the Dirac equation), can lead to unusual…

Mesoscale and Nanoscale Physics · Physics 2009-12-31 M. Z. Hasan , H. Lin , A. Bansil

We unravel a fundamental connection between supersymmetry and a wide class of two dimensional second-order topological insulators (SOTI). This particular supersymmetry is induced by applying a half-integer Aharonov-Bohm flux…

Mesoscale and Nanoscale Physics · Physics 2023-07-13 Clara S. Weber , Mikhail Pletyukhov , Zhe Hou , Dante M. Kennes , Jelena Klinovaja , Daniel Loss , Herbert Schoeller

Using {\it ab initio} density functional theory, we study the lattice phase transition of quasi-one-dimensional (TaSe$_4$)$_2$I. In the undistorted state, the strongly anisotropic semimetal band structure presents two non-equivalent Weyl…

Materials Science · Physics 2020-05-14 Yang Zhang , Ling-Fang Lin , Adriana Moreo , Shuai Dong , Elbio Dagotto

Anderson localization is studied for two flavors of massless Dirac fermions in 2D space perturbed by static disorder that is invariant under a chiral symmetry (chS) and a time-reversal symmetry (TRS) operation which, when squared, is equal…

Mesoscale and Nanoscale Physics · Physics 2012-06-13 Shinsei Ryu , Christopher Mudry , Andreas Ludwig , Akira Furusaki
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