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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

The magneto-optical longitudinal, transverse Hall and circularly-polarized response of silicene and other materials described by a Kane-Mele Hamiltonian are calculated. Particular attention is paid to the effects of an external electric…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Calvin J. Tabert , Elisabeth J. Nicol

The helical Dirac states on the surface of a topological insulator are protected by topology and display significant particle-hole asymmetry. This asymmetry arises from a subdominant Schr\"{o}dinger type contribution to the Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Zhou Li , J. P. Carbotte

The low-energy Hamiltonian used to describe the dynamics of the helical Dirac fermions on the surface of a topological insulator contains a subdominant non-relativistic (Schr\"odinger) contribution. This term can have an important effect on…

Mesoscale and Nanoscale Physics · Physics 2015-09-28 Calvin J. Tabert , J. P. Carbotte

We study transport across a time-dependent magnetic barrier present on the surface of a three-dimensional topological insulator. We show that such a barrier can be implemented for Dirac electrons on the surface of a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Adithi Udupa , K. Sengupta , Diptiman Sen

We analytically calculate the intrinsic longitudinal and transverse optical conductivities of electronic systems which govern by a modified-Dirac fermion model Hamiltonian for materials beyond graphene such as monolayer MoS$_2$ and…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Habib Rostami , Reza Asgari

Three-dimensional topological insulator films in contact with magnetic layers exhibit intriguing magneto-optical and magnetoelectric phenomena, but little is known beyond the linear response regime. We demonstrate that the presence of two…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 A. G. Mal'shukov , Hans Skarsvag , Arne Brataas

Hexagonal warping provides an anisotropy to the dispersion curves of the helical Dirac fermions that exist at the surface of a topological insulator. A sub-dominant quadratic in momentum term leads to an asymmetry between conduction and…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 J. P. F. LeBlanc , J. P. Carbotte

Topological insulators subject to a time-symmetry-breaking perturbation are predicted to display a magneto-electric effect that causes the electric and magnetic induction fields to mix at the material's surface. This effect induces…

Optics · Physics 2015-10-22 J. A. Crosse

We determine the optical response of ultrathin film topological insulators in the presence of a quantizing external magnetic field taking into account both hybridization between surface states, broken inversion symmetry and explicit time…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 k. Rahim , A. Ullah , M. Tahir , K. Sabeeh

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

Starting from a three dimensional Hamiltonian, we study the optical properties of ultra-thin topological insulator slabs for which the coupling between Dirac fermions on opposite surfaces results in two degenerated gapped hyperbolic bands.…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Martha Lasia , Luis Brey

We calculate the magnetization of the helical metallic surface states of a topological insulator. We account for the presence of a small sub-dominant Schr{\"o}dinger piece in the Hamiltonian in addition to the dominant Dirac contribution.…

Mesoscale and Nanoscale Physics · Physics 2014-12-01 Calvin J. Tabert , J. P. Carbotte

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

One of the most striking manifestations of electronic properties of topological insulators is the dependence of the photocurrent direction on the helicity of circularly polarized optical excitation. The helicity dependent photocurrents,…

We study coherent optics in topological insulator surface states with broken time-reversal symmetry and develop a theory for the dynamical Hall effect driven by intense electromagnetic field. The influence of optical Stark effect enters as…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 Wang-Kong Tse

We develop a theory of the magneto-optical and magneto-electric properties of a topological insulator thin film in the presence of a quantizing external magnetic field. We find that low-frequency magneto-optical properties depend only on…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Wang-Kong Tse , A. H. MacDonald

A system with a topological insulator slab sandwiched by two one-dimensional photonic crystals as a defect is investigated. A giant topological magnetoelectric effect is proposed which is characterized by two resonant peaks with half-unit…

Mesoscale and Nanoscale Physics · Physics 2011-01-26 Peng Wang , Qin Liu , Wei Li , Xunya Jiang

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

We discuss optical absorption in topological insulators and study possible photoelectric effects theoretically. We found that absorption of circularly polarized electromagnetic waves in two-dimensional topological insulators results in…

Mesoscale and Nanoscale Physics · Physics 2016-10-18 S. N. Artemenko , V. O. Kaladzhyan
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