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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

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

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

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 have investigated the band structure at the $\Gamma$ point of the three-dimensional (3D) topological insulator Bi$_2$Se$_3$ using magneto-spectroscopy over a wide range of energies ($0.55-2.2$\,eV) and in ultrahigh magnetic fields up to…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 A. Miyata , Z. Yang , A. Surrente , O. Drachenko , D. K. Maude , O. Portugall , L. B. Duffy , T. Hesjedal , P. Plochocka , R. J. Nicholas

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

Despite the broadband response, limited optical absorption at a particular wavelength hinders the development of optoelectronics based on Dirac fermions. Heterostructures of graphene and various semiconductors have been explored for this…

We investigate the optical properties of an ultrathin film of a topological insulator in the presence of an in-plane magnetic field. We show that due to the combination of the overlap between the surface states of the two layers and the…

Mesoscale and Nanoscale Physics · Physics 2015-07-29 Fariborz Parhizgar , Ali G. Moghaddam , Reza Asgari

The Dirac cone underlies many unique electronic properties of graphene and topological insulators, and its band structure--two conical bands touching at a single point--has also been realized for photons in waveguide arrays, atoms in…

From a leading-order unbiased renormalization group analysis we here showcase the emergence of superconductivity (including the topological ones) from purely repulsive electron-electron interactions in two-dimensional doped Dirac…

Superconductivity · Physics 2025-06-26 Sk Asrap Murshed , Sanjib Kumar Das , Bitan Roy

Recent angle-resolved photoemission experiments have observed a proximity-induced superconducting gap in the helical surface states of a thin film of the 3D topological insulator Bi$_2$Se$_3$ grown on a superconducting NbSe$_2$ substrate.…

Superconductivity · Physics 2016-12-21 Isil Ozfidan , Jinsen Han , Joseph Maciejko

Three-dimensional doped Dirac insulators foster simply connected (in both topological and trivial regimes) and annular (deep inside the topological regime) Fermi surfaces (FSs) in the normal state, and allow on-site repulsions among…

Mesoscale and Nanoscale Physics · Physics 2024-11-06 Andras L. Szabo , Bitan Roy

The unique electronic properties of the surface electrons in a topological insulator are protected by time-reversal symmetry. Circularly polarized light naturally breaks time-reversal symmetry, which may lead to an exotic surface quantum…

Mesoscale and Nanoscale Physics · Physics 2013-10-29 Y. H. Wang , H. Steinberg , P. Jarillo-Herrero , N. Gedik

We perform linear and non-linear photon absorption calculations in topological insulator ultra-thin films on a substrate. Due to the unique band structure of the coupled topological surface states, novel features are observed for suitable…

Mesoscale and Nanoscale Physics · Physics 2013-11-18 Jing Wang , Hideo Mabuchi , Xiao-Liang Qi

We analyze the magneto-optical conductivity (and related magnitudes like transmittance and Faraday rotation of the irradiated polarized light) of some elemental two-dimensional Dirac materials of group IV (graphene analogues, buckled…

Mesoscale and Nanoscale Physics · Physics 2024-03-20 M. Calixto , A. Mayorgas , N. A. Cordero , E. Romera , O. Castaños

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

Motivated by the transmission of topological surface states through atomic scale steps, we study the transport of gapless Dirac fermions on hyperbolic surfaces. We confirm that, independent of the curvature of the hyperbolae and the…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Udit Khanna , Saurabh Pradhan , Sumathi Rao

Topological insulators are quantum materials that have an insulating bulk state and a topologically protected metallic surface state with spin and momentum helical locking and a Dirac-like band structure. Unique and fascinating electronic…

Optics · Physics 2018-11-21 Zengji Yue , Xiaolin Wang , Min Gu

Topological insulators (TIs) are characterized by possessing metallic (gapless) surface states and a finite band-gap state in the bulk. As the thickness of a TI layer decreases down to a few nanometer, hybridization between the top and…

The metallic surface states of a topological insulator support helical Dirac fermions protected by topology with their spin locked perpendicular to their momentum. They can acquire mass through magnetic doping or through hybridization of…

Mesoscale and Nanoscale Physics · Physics 2015-04-14 Zhou Li , J. P. Carbotte
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