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The topological protected electronic states on the surface of a topological insulator can progressively change their Fermi cross-section from circular to a snowflake shape as the chemical potential is increased above the Dirac point because…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Zhou Li , J. P. Carbotte

We investigate the charge conductivity and current-induced spin polarization on the surface state of a three-dimensional topological insulator by including the hexagonal warping effect of Fermi surface both in classical and quantum…

Mesoscale and Nanoscale Physics · Physics 2011-11-01 C. M. Wang , F. J. Yu

We investigate surface plasmons at a planar interface between a normal dielectric and a topological insulator, where the Fermi-energy lies inside the bulk gap of the topological insulator and gives rise to a two-dimensional charge…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Robert Schütky , Christian Ertler , Andreas Trügler , Ulrich Hohenester

We present a theoretical analysis of Dirac magneto-plasmons in topological insulator nanowires. We discuss a cylindrical geometry where Berry phase effects induce the opening of a gap at the neutrality point. By taking into account surface…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 P. Iorio , C. A. Perroni , V. Cataudella

ARPES studies of the protected surface states in the Topological Insulator $% Bi_{2}Te_{3}$ have revealed the existence of an important hexagonal warping term in its electronic band structure. This term distorts the shape of the Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2023-06-12 Zhou Li , J. P. Carbotte

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

Optical field interacting with a topologically protected one-dimensional helical state is shown to support a one-dimensional plasmon-polariton that is characterized by a non-linear dispersion. In a two-dimensional Dirac magnet these…

Mesoscale and Nanoscale Physics · Physics 2019-05-10 Ivan Iorsh , Gulnaz Rakhmanova , Mikhail Titov

A single two-dimensinoal Dirac fermion state has been recently observed on the surface of topological insulator Bi$_2$Te$_3$ by angle-resolved photoemission spectroscopy (ARPES). We study the surface band structure using $k \cdot p$ theory…

Materials Science · Physics 2013-05-29 Liang Fu

Adding a small subdominant quadratic in momentum term to a dominant linear Dirac dispersion curve affects conduction and valence band differently and leads to an hourglass-like structure for energy as a function of momentum. This applies to…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 Zhou Li , J. P. Carbotte

We study the effects of extended and localized potentials and a magnetic field on the Dirac electrons residing at the surface of a three-dimensional topological insulator. We use a lattice model to numerically study the various states; we…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Ranjani Seshadri , Diptiman Sen

The Dirac fermions at the surface of a topological insulator can be gapped by introducing magnetic dopants. Alternatively, in an ultra-thin slab with thickness on the order of the extent of the surface states, both the top and bottom…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 Calvin J. Tabert , J. P. Carbotte

Plasmons are the quantized collective oscillations of electrons in metals and doped semiconductors. The plasmons of ordinary, massive electrons are since a long time basic ingredients of research in plasmonics and in optical metamaterials.…

Mesoscale and Nanoscale Physics · Physics 2013-07-24 P. Di Pietro , M. Ortolani , O. Limaj , A. Di Gaspare , V. Giliberti , F. Giorgianni , M. Brahlek , N. Bansal , N. Koirala , S. Oh , P. Calvani , S. Lupi

We consider the transport properties of topological insulators surface states in the presence of uncorrelated point-like disorder, both in the classical and quantum regimes. The transport properties of those two-dimensional surface states…

Mesoscale and Nanoscale Physics · Physics 2012-05-24 Pierre Adroguer , David Carpentier , Jérôme Cayssol , Edmond Orignac

Topological insulators embody a newly discovered state of matter characterized by conducting spin-momentum locked surface states that span the bulk band gap. So far, most of the study on topological insulator surfaces has been limited to…

Mesoscale and Nanoscale Physics · Physics 2012-06-04 L. A. Wray , Y. Xia , S. -Y. Xu , Y. S. Hor , R. J. Cava , A. Bansil , H. Lin , M. Z. Hasan

We explore the scattering of Dirac electrons in a double-gated topological insulator in the presence of magnetic proximity effects and warped surface states. It is found that a magnetic field can shift the Dirac cone in momentum space and…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Masomeh Arabikhah , Alireza Saffarzadeh

Starting from the Dirac equation, the relativistic quantum hydrodynamic equations for Dirac electrons on a surface of a three dimensional-topological insulator (TI) are derived and numerically solved to study the spin plasmons. The surface…

Mesoscale and Nanoscale Physics · Physics 2014-05-27 Ya Zhang , Jianwei Cui , Wei Jiang , Lin Yi

The effect of helical Dirac states on surface phonons in a topological insulators is investigated. Their coupling is derived in the continuum limit by assuming displacement dependent Dirac cones. The resulting renormalisation of sound…

Materials Science · Physics 2015-05-27 Peter Thalmeier

We consider the plasmon excitations in anisotropic two-dimensional Dirac systems, be it either anisotropic graphene or surfaces of topological insulators. Generalizing the exact density-density response function one finds a plasmon…

Materials Science · Physics 2021-02-10 Roland Hayn , Te Wei , Vyacheslav M. Silkin , Jeroen van den Brink

We study collective excitations in a helical electron liquid on a surface of three-dimensional topological insulator. Electron in helical liquid obeys Dirac-like equation for massless particless and direction of its spin is strictly…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 D. K. Efimkin , Yu. E. Lozovik , A. A. Sokolik

We report anisotropic Dirac-cone surface bands on a side-surface geometry of the topological insulator Bi$_2$Se$_3$ revealed by first-principles density-functional calculations. We find that the electron velocity in the side-surface Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Chang-Youn Moon , Jinhee Han , Hyungjun Lee , Hyoung Joon Choi
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