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Electrostatic gating provides a way to obtain key functionalities in modern electronic devices and to qualitatively alter materials properties. While electrostatic description of such gating gives guidance for related doping effects,…

Materials Science · Physics 2016-06-08 Predrag Lazic , Kirill D. Belashchenko , Igor Zutic

We show that higher-harmonics exchange scattering from a magnetic adatom on the surface of a three dimensional topological insulator leads to a magnetic anisotropy whose magnitude and sign may be tuned by adjusting the chemical potential of…

Mesoscale and Nanoscale Physics · Physics 2016-10-24 Jens Paaske , Erikas Gaidamauskas

We discuss the combined effect of magnetic fields and geometry in interacting fermionic systems. At leading order in the heat-kernel expansion, the infrared singularity (that in flat space leads to the magnetic catalysis) is regulated by…

High Energy Physics - Theory · Physics 2015-05-13 Antonino Flachi , Kenji Fukushima , Vincenzo Vitagliano

It is known that the excitations in graphene-like materials in external electromagnetic field are described by solutions of massless two-dimensional Dirac equation which includes both Hermitian off-diagonal matrix and scalar potentials. Up…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Mikhail V. Ioffe , David N. Nishnianidze

Edge states play a major role in the electron dynamics of topological insulators as they are the only conducting part in such materials. In this work, we consider the Haldane model for a 2D topological insulator, subjected to an intense…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Hannah Jürß , Dieter Bauer

Two-dimensional topological insulators are characterized by gapped bulk states and gapless helical edge states, i.e. time-reversal symmetric edge states accommodating a pair of counter-propagating electrons. An external magnetic field…

Mesoscale and Nanoscale Physics · Physics 2012-04-02 G. Tkachov , E. M. Hankiewicz

We study quantum transport and scattering of massless Dirac fermions by spatially localized static magnetic fields. The employed model describes in a unified manner the effects of orbital magnetic fields, Zeeman and exchange fields in…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 A. Zazunov , A. Kundu , A. Hütten , R. Egger

The surface states of topological insulators, which behave as charged massless Dirac fermions, are studied in the presence of a quantizing uniform magnetic field. Using the method of D.H. Lee[1], analytical formula satisfied by the energy…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 Oskar Vafek

Mainstream among topological insulators, GaSb/InAs quantum wells present a broken gap alignment for the energy bands which supports the quantum spin Hall insulator phase and forms an important building block in the search of exotic states…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 T. Campos , M. A. T. Sandoval , L. Diago-Cisneros , G. M. Sipahi

The possibility of topological phase transition with or without a magnetic flux trapped in the cells of a class of decorated lattices is explored in details.Using a tight binding Hamiltonian and a real space decimation scheme we…

Mesoscale and Nanoscale Physics · Physics 2025-01-29 Sougata Biswas

The low-energy band-structure of electrons propagating on a lateral surface of a heterostructure consisting of three dimensional topological insulator (TI) and magnetic insulator layers has been calculated. The energy spectrum is highly…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 A. G. Mal'shukov

Topological insulators (TIs) and graphene present two unique classes of materials which are characterized by spin polarized (helical) and non-polarized Dirac-cone band structures, respectively. The importance of many-body interactions that…

We propose a surface-edge state theory for half quantized Hall conductance of surface states in topological insulators. The gap opening of a single Dirac cone for the surface states in a weak magnetic field is demonstrated. We find a new…

Mesoscale and Nanoscale Physics · Physics 2011-08-29 Rui-Lin Chu , Junren Shi , Shun-Qing Shen

We study anisotropic lattice strips in the presence of a magnetic field in the quantum Hall effect regime. At specific magnetic fields, causing resonant Umklapp scattering, the system is gapped in the bulk and supports chiral edge states in…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 Jelena Klinovaja , Daniel Loss

We consider the combined effect of a gap and a Zeeman interaction on the helical Dirac fermions which exist on the surface of a topological insulator. Magneto-optical properties, the magnetization, Hall effect and the density of states are…

Mesoscale and Nanoscale Physics · Physics 2015-06-08 Calvin J. Tabert , J. P. Carbotte

We present the exhaustive classification of surface states of topological insulators and superconductors protected by crystallographic magnetic point group symmetry in three spatial dimensions. Recently, Cornfeld and Chapman [Phys. Rev. B…

Mesoscale and Nanoscale Physics · Physics 2022-02-18 Ken Shiozaki

In a three-dimensional strong topological insulator, gapless helical surface states appear everywhere on its surface. In the presence of a screw dislocation, gapless helical modes also appear in the vicinity of the corresponding dislocation…

Mesoscale and Nanoscale Physics · Physics 2024-05-28 Tatsuro Sakaguchi , Yositake Takane

We investigate states on the surface of strong and weak topological insulators and superconductors that have been gapped by a symmetry breaking term. The surface of a strong 3D topological insulator gapped by a magnetic material is well…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 Ching-Kai Chiu

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

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