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Deploying an analytical atomistic model of the bulk band structure of the IV-VI semiconductors we connect the spin structure of the topological surface state to the crystal field and spin orbit coupling parameters of the bulk material.…

Mesoscale and Nanoscale Physics · Physics 2019-08-21 N. Klier , S. Sharma , O. Pankratov , S. Shallcross

We develop an effective bulk model with a topological boundary condition to study the surface states of topological insulators. We find that the Dirac point energy, the band curvature and the spin texture of surface states are crystal…

Mesoscale and Nanoscale Physics · Physics 2013-05-01 Fan Zhang , C. L. Kane , E. J. Mele

We derive the spin texture of a weak topological insulator via a supersymmetric approach that includes the roles of the bulk gap edge states and surface band bending. We find the spin texture can take one of four forms: (i) helical, (ii)…

Materials Science · Physics 2020-06-20 F. Rost , R. Gupta , S. Sharma , O. Pankratov , S. Shallcross

Topological insulators represent a new quantum state of matter that are insulating in the bulk but metallic on the edge or surface. In the Dirac surface state, it is well-established that the electron spin is locked with the crystal…

Weak topological insulators possess a symmetry related set of Dirac-Weyl cones in the surface Brillouin zone, implying misorientation between the principle axis of the low energy manifold of the bulk and the surface normal. We show that…

Materials Science · Physics 2020-06-20 N. Klier , F. Rost , R. Gupta , S. Sharma , O. Pankratov , S. Shallcross

Twisting van der Waals heterostructures to induce correlated many-body states provides a novel tuning mechanism in solid-state physics. In this work, we theoretically investigate the fate of the surface Dirac cone of a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Jennifer Cano , Shiang Fang , J. H. Pixley , Justin H. Wilson

We report on microscopic tight-binding modeling of surface states in Bi$_2$Se$_3$ three-dimensional topological insulator, based on a sp$^3$ Slater-Koster Hamiltonian, with parameters calculated from density functional theory. The effect of…

Mesoscale and Nanoscale Physics · Physics 2014-11-04 A. Pertsova , C. M. Canali

We study transport and optical properties of the surface states which lie in the bulk energy gap of a thin-film topological insulator. When the film thickness is comparable with the surface state decay length into the bulk, the tunneling…

Mesoscale and Nanoscale Physics · Physics 2010-03-04 Hai-Zhou Lu , Wen-Yu Shan , Wang Yao , Qian Niu , Shun-Qing Shen

Topological insulators are novel macroscopic quantum-mechanical phase of matter, which hold promise for realizing some of the most exotic particles in physics as well as application towards spintronics and quantum computation. In all the…

In this Letter we present scanning tunneling microscopy density-of-states measurements and electronic structure calculations of the topological insulator Bi2Se3. The measurements show significant background states in addition to the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Megan Romanowich , Mal-Soon Lee , Duck-Young Chung , Jung-Hwan Song , S. D. Mahanti , Mercouri G. Kanatzidis , Stuart H. Tessmer

The opening of a band gap due to compressive uniaxial strain renders bulk HgTe a strong three-dimensional topological insulators with protected gapless surface states at any surface. By employing a six-band k.p model, we determine the spin…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Frank Kirtschig , Jeroen van den Brink , Carmine Ortix

Topological insulators are bulk semiconductors that manifest in-gap massless Dirac surface states due to the topological bulk-boundary correspondence principle [1-3]. These surface states have been a subject of tremendous ongoing interest,…

Aiming at the future spintronics device applications of the spin-polarized surface states in three-dimensional topological insulator, a highly insulating bulk state and a tunable Dirac cone surface state are required. Here we employ a slab…

Materials Science · Physics 2020-01-01 Takao Kosaka , Kunihiko Yamauchi , Tamio Oguchi

Surfaces of topological insulators host a new class of states with Dirac dispersion and helical spin texture. Potential quantum computing and spintronic applications using these states require manipulation of their electronic properties at…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Haim Beidenkopf , Pedram Roushan , Jungpil Seo , Lindsay Gorman , Ilya Drozdov , Yew San Hor , R. J. Cava , Ali Yazdani

The electronic spectrum on the spherical surface of a topological insulator reflects an active property of the helical surface state that stems from a constraint on its spin on a curved surface. The induced effective vector potential (spin…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 Ken-Ichiro Imura , Yukinori Yoshimura , Yositake Takane , Takahiro Fukui

Relativistic spin-orbit coupling plays an essential role in the field of topological insulators and quantum spintronics. It gives rise to the topological non-trivial band structure and enables electric manipulation of the spin degree of…

Mesoscale and Nanoscale Physics · Physics 2013-08-07 Haijun Zhang , Chao-Xing Liu , Shou-Cheng Zhang

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 consider the analogy between the topological phase transition which occurs as a function of spatial coordinate on a surface of a non-trivial insulator, and the one which occurs in the bulk due to the change of internal parameters (such…

Materials Science · Physics 2012-11-06 Stanislav Chadov , Janos Kiss , Jürgen Kübler , Claudia Felser

The Dirac surface states of topological insulators offer a unique possibility for creating spin polarized charge currents due to the spin-momentum locking. Here we demonstrate that the control over the bulk and surface contribution is…

Topological insulators in the Bi$_2$Se$_3$ family manifest helical Dirac surface states that span the topologically ordered bulk band gap. Recent scanning tunneling microscopy measurements have discovered additional states in the bulk band…

Materials Science · Physics 2018-08-01 Yishuai Xu , Guodong Jiang , Janet Chiu , Lin Miao , Erica Kotta , Yutan Zhang , Rudro R. Biswas , L. Andrew Wray
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