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Three-dimensional topological insulators are characterized by insulating bulk state and metallic surface state involving Dirac fermions that behave as massless relativistic particles. These Dirac fermions are responsible for achieving a…

Topologically protected surface states of three-dimensional topological insulators provide a model framework for studying massless Dirac electrons in two dimensions. Usually a step on the surface of a topological insulator is treated as a…

Mesoscale and Nanoscale Physics · Physics 2019-01-14 N. I. Fedotov , S. V. Zaitsev-Zotov

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

We study the problem of a single Dirac fermion in a quantizing orbital magnetic field, when the chemical potential is at the Dirac point. This can be realized on the surface of a topological insulator, such as Bi2Se3, tuned to neutrality.…

Strongly Correlated Electrons · Physics 2010-03-05 Ying Ran , Hong Yao , Ashvin Vishwanath

We have calculated the dynamical polarization, plasmons and damping rates in semi-Dirac bands (SDB's) with zero band gap and half-linear, half-parabolic low-energy spectrum. The obtained plasmon dispersions are strongly anisotropic and…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Gabrielle Ross-Harvey , Andrii Iurov , Liubov Zhemchuzhna , Godfrey Gumbs , Danhong Huang

Using the k.p theory and first-principles simulations, we report that applying a moderate pressure (> 0.6 GPa) on black phosphorus can diminish its band gap and produce one-dimensional and even two-dimensional (2D) Dirac cones,…

Materials Science · Physics 2015-05-28 Ruixiang Fei , Vy Tran , Li Yang

A topological insulator (TI) nanowire (NW), where the core is insulating and the 2D spin-helical Dirac fermion topological surface states (TSS) are circumferentially quantized into a series of 1D sub-bands, promises novel topological…

Mesoscale and Nanoscale Physics · Physics 2017-06-22 Luis A. Jauregui , Michael T. Pettes , Leonid P. Rokhinson , Li Shi , Yong P. Chen

The list of two dimensional Dirac systems with a tilt in their Dirac cone spectrum is expanding, and now in addition to organic system $\alpha$(BEDT-TTF)$_2$I$_3$ includes the two dimensional $8Pmmn$-borophene sheet, which allows for…

Strongly Correlated Electrons · Physics 2018-11-13 Z. Jalali-Mola , S. A. Jafari

Bi$_{2}$Se$_{3}$ is a well known 3D-topological insulators(TI) with a non-trivial Berry phase of $ \left(2n+1\right)\pi $ attributed to the topology of the band structure. The Berry phase shows non-topological deviations from $…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Parijat Sengupta

We have studied the fractional quantum Hall states on the surface of a topological insulator thin film in an external magnetic field, where the Dirac fermion nature of the charge carriers have been experimentally established only recently.…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Vadim M. Apalkov , Tapash Chakraborty

We develop an approximate theory of phonon-induced topological insulation in Dirac materials. In the weak coupling regime, long wavelength phonons may favor topological phases in Dirac insulators with direct and narrow bandgaps. This…

Strongly Correlated Electrons · Physics 2014-05-09 Kush Saha , Ion Garate

The collective excitation of surface plasmons in a massless Dirac plasma (e.g., graphene) half-space (bounded by air) is investigated using a relativistic quantum fluid model. The unique features of such surface waves are discussed and…

Plasma Physics · Physics 2018-07-04 M. Shahmansouri , R. Aboltaman , A. P. Misra

Binary bismuth chalcogenides Bi$_2$Se$_3$, Bi$_2$Te$_3$, and related materials are currently being extensively investigated as the reference topological insulators (TIs) due to their simple surface-state band dispersion (single Dirac cone)…

Materials Science · Physics 2016-06-21 Naunidh Virk , Oleg V. Yazyev

The concept of topological insulator (TI) has introduced a new point of view to condensed-matter physics, relating a priori unrelated subfields such as quantum (spin, anomalous) Hall effects, spin-orbit coupled materials, some classes of…

Mesoscale and Nanoscale Physics · Physics 2015-01-20 Yukinori Yoshimura , Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

The phase of the quantum-mechanical wave function can encode a topological structure with wide-ranging physical consequences, such as anomalous transport effects and the existence of edge states robust against perturbations. While this has…

Strongly Correlated Electrons · Physics 2023-11-14 M. dos Santos Dias , N. Biniskos , F. J. dos Santos , K. Schmalzl , J. Persson , F. Bourdarot , N. Marzari , S. Blügel , T. Brückel , S. Lounis

We consider a two-dimensional honeycomb lattice of metallic nanoparticles, each supporting a localized surface plasmon, and study the quantum properties of the collective plasmons resulting from the near field dipolar interaction between…

Mesoscale and Nanoscale Physics · Physics 2013-03-07 Guillaume Weick , Claire Woollacott , William L. Barnes , Ortwin Hess , Eros Mariani

Three dimensional (3D) topological insulators are quantum materials with a spin-orbit induced bulk insulating gap that exhibit quantum-Hall-like phenomena in the absence of applied magnetic fields. The proposed applications of topological…

Mesoscale and Nanoscale Physics · Physics 2009-07-20 Y. Xia , D. Qian , D. Hsieh , R. Shankar , H. Lin , A. Bansil , A. V. Fedorov , D. Grauer , Y. S. Hor , R. J. Cava , 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

A distinguishing feature of Dirac fermions is the Berry phase of $\pi$ associated with their cyclotron motions. Since this Berry phase can be experimentally assessed by analyzing the Landau-level fan diagram of the Shubnikov-de Haas (SdH)…

Materials Science · Physics 2015-05-27 A. A. Taskin , Yoichi Ando

The tunability of topological surface states (SS) and controllable opening of the Dirac gap are of fundamental and practical interest in the field of topological materials. In topological crystalline insulators (TCIs), a spontaneously…

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