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The newly discovered topological Dirac semimetals host the possibilities of various topological phase transitions through the control of spin-orbit coupling as well as symmetries and dimensionalities. Here, we report a magnetotransport…

Mesoscale and Nanoscale Physics · Physics 2018-06-07 S. Nishihaya , M. Uchida , Y. Nakazawa , K. Akiba , M. Kriener , Y. Kozuka , A. Miyake , Y. Taguchi , M. Tokunaga , M. Kawasaki

Topological insulators are materials with an insulating bulk interior while maintaining gapless boundary states against back scattering. Bi$_2$Se$_3$ is a prototypical topological insulator with a Dirac-cone surface state around $\Gamma$.…

Scanning tunneling microscopy and spectroscopy have been used to investigate the femtosecond dynamics of Dirac fermions in the topological insulator Bi$_2$Se$_3$ ultrathin films. At two-dimensional limit, bulk electrons becomes quantized…

Mesoscale and Nanoscale Physics · Physics 2015-05-08 Can-Li Song , Lili Wang , Ke He , Shuai-Hua Ji , Xi Chen , Xu-Cun Ma , Qi-Kun Xue

Topological Dirac semimetals with accidental band touching between conduction and valence bands protected by time reversal and inversion symmetry are at the frontier of modern condensed matter research. Theoretically one can get Weyl and/or…

We have performed high-resolution angle-resolved photoemission spectroscopy of ternary pnictide CaAuAs which is predicted to be a three-dimensional topological Dirac semimetal (TDS). By accurately determining the bulk-band structure, we…

We propose two possible experimental realizations of a 2+1 dimensional spacetime supersymmetry at a quantum critical point on the surface of three dimensional topological insulators. The quantum critical point between the semi-metallic…

Strongly Correlated Electrons · Physics 2014-02-17 Pedro Ponte , Sung-Sik Lee

We study the influence of disorder on the topological transition from a two-dimensional Dirac semi-metal to an insulating state. This transition is described as a continuous merging of two Dirac points leading to a semi-Dirac spectrum at…

Mesoscale and Nanoscale Physics · Physics 2013-07-26 David Carpentier , Andrei A. Fedorenko , Edmond Orignac

A two-dimensional (2D) Dirac semimetal with concomitant superconductivity has been long sought but rarely reported. It is believed that light-element materials have the potential to realize this goal owing to their intrinsic lightweight and…

Materials Science · Physics 2024-09-30 Chengyong Zhong , Xuelian Li , Peng Yu

Dirac semimetals (DSMs), characterized by linear dispersion relations in their electronic band structure, have gained prominence due to their unique topological features and potential applications in electronic devices. Through systematic…

Materials Science · Physics 2026-03-31 Shivendra Kumar Gupta , Nikhilesh Singh , Saurabh Kumar Sen , Poorva Singh

For the IV-VI semiconductor family we derive an exact relation between the microscopic gap edge wave functions of the bulk insulator and the Dirac-Weyl topological surface state wave function, thus obtaining a fully microscopic surface…

Materials Science · Physics 2017-03-01 N. Klier , S. Sharma , O. Pankratov , S. Shallcross

Symmetry or topology protected Dirac fermion states in two and three dimensions constitute novel quantum systems that exhibit exotic physical phenomena. However, none of the studied spin-orbit materials are suitable for realizing bulk…

Recently, many novel and exotic phases have been proposed by considering the role of topology in non-Hermitian systems, and their emergent properties are of wide current interest. In this work we propose the non-Hermitian generalization of…

Mesoscale and Nanoscale Physics · Physics 2021-10-12 Ayan Banerjee , Awadhesh Narayan

In many of three-dimensional metals with the inversion symmetry and a weak spin-orbit interaction, Dirac points of the electron energy spectrum form band-contact lines in the Brillouin zones of these crystals, and electron topological…

Mesoscale and Nanoscale Physics · Physics 2014-10-28 G. P. Mikitik , Yu. V. Sharlai

Design principles and novel predictions of new 3D Dirac semimetals are presented, along with the context of currently known materials. Current materials include those based on a topological to trivial phase transition, such as in…

The non-trivial topology of the three-dimensional (3D) topological insulator (TI) dictates the appearance of gapless Dirac surface states. Intriguingly, when a 3D TI is made into a nanowire, a gap opens at the Dirac point due to the quantum…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Felix Münning , Oliver Breunig , Henry F. Legg , Stefan Roitsch , Dingxun Fan , Matthias Rößler , Achim Rosch , Yoichi Ando

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

Topological band theory provides a conceptual framework to predict or even engineer robust metallic states at the boundaries of topologically distinct phases. The bulk-boundary correspondence requires that a topological electronic phase…

Using angle-resolved photoelectron spectroscopy we investigate the surface electronic structure of the three-dimensional topological insulator (TI) Sb2Te3(0001). Our data show the presence of a topological surface state in the bulk energy…

Topological insulators are distinguished from normal insulators by their bulk insulating gap and odd number of surface states connecting the inverted conduction and valence bands and showing Dirac cones at the time-reversal invariant points…

Materials Science · Physics 2015-05-18 Hosub Jin , Jung-Hwan Song , Arthur J. Freeman

We report the electronic band structures and concomitant Fermi surfaces for a family of exfoliable tetradymite compounds with the formula $T_2$$Ch_2$$Pn$, obtained as a modification to the well-known topological insulator binaries…

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