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In the present work, we give a phenomenological theory of the monolayer graphene where two worlds quantum and classical meet together and complete each other in the most natural way. It appears that the graphene is the unique material where…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 V. Apinyan , M. Sahakyan

Starting with a nearest-neighbors tight-binding model, we rigorously investigate the bulk zero-field orbital susceptibility of a non-interacting Bloch electrons gas in graphene-like solids at fixed temperature and density of particles. In…

Mathematical Physics · Physics 2018-11-30 Baptiste Savoie

We evaluate the dispersion relation for massless fermions, described by the Dirac equation, and for zero-spin bosons, described by the Klein-Gordon equation, moving in two dimensions and in the presence of a one-dimensional periodic…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 M. Barbier , F. M. Peeters , P. Vasilopoulos , J. Milton Pereira

After having derived boundary conditions for dressed-state electrons in a dice lattice, we investigate the electron tunneling through a square electrostatic potential barrier in both dice lattices and graphene under a linearly-polarized…

Mesoscale and Nanoscale Physics · Physics 2020-06-16 Andrii Iurov , Liubov Zhemchuzhna , Paula Fekete , Godfrey Gumbs , Danhong Huang

We present a methodology to address, from first principles, charge-spin interconversion in two-dimensional materials with spin-orbit coupling. Our study relies on an implementation of density functional theory based quantum transport…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Maedeh Rassekh , Hernán Santos , Andrea Latge , Leonor Chico , Saber Farjami Shayesteh , Juan Jose Palacios

The phenomenon of spin-dependent quantum scattering in two-dimensional (2D) pseudospin-1/2 Dirac materials leading to a relativistic quantum chimera was recently uncovered. We investigate spin-dependent Dirac electron optics in 2D…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 Li-Li Ye , Chen-Di Han , Ying-Cheng Lai

We discuss by analytic means the theory of the high-density limit of the unpolarized two-dimensional electron liquid in the presence of Rashba or Dresselhaus spin-orbit coupling. A generalization of the ring-diagram expansion is performed.…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Stefano Chesi , Gabriele F. Giuliani

We study spin dynamics in a two-dimensional electron gas with a pure gauge non-Abelian spin-orbit field, for which systems with balanced Rashba and Dresselhaus spin-orbit couplings, and the (110)-axis grown GaAs quantum wells are typical…

Mesoscale and Nanoscale Physics · Physics 2010-10-20 I. V. Tokatly , E. Ya. Sherman

Larmor's theorem holds for magnetic systems that are invariant under spin rotation. In the presence of spin-orbit coupling this invariance is lost and Larmor's theorem is broken: for systems of interacting electrons, this gives rise to a…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 Shahrzad Karimi , Florent Baboux , Florent Perez , Carsten A. Ullrich , Grzegorz Karczewski , Tomasz Wojtowicz

Intrinsic and Rashba spin-orbit interactions in strained graphene is studied within the tight-binding (TB) approach. Dependence of Slater-Koster (SK) parameters of graphene on strain are extracted by fitting the \emph{ab initio} band…

Mesoscale and Nanoscale Physics · Physics 2019-02-08 H. Rezaei , A. Phirouznia

Recently a paper of Klimovskikh et al. was published presenting experimental and theoretical analysis of the graphene/Pb/Pt(111) system. The authors investigate the crystallographic and electronic structure of this graphene-based system by…

Materials Science · Physics 2019-08-12 Yuriy Dedkov , Elena Voloshina

Proximity effects induced in the 2D Dirac material graphene potentially open access to novel and intriguing physical phenomena. Thus far, the coupling between graphene and ferromagnetic insulators has been experimentally established.…

We have performed fully relativistic first-principles density functional calculations for non-magnetic B20-type CoSi. The spin-orbit interaction has crucial effects on the electronic structures of a chiral crystal. The calculated band…

Materials Science · Physics 2015-05-12 Fumiyuki Ishii , Hiroki Kotaka , Takashi Onishi

Spin-spin correlation function response in the low electronic density regime and externally applied electric field is evaluated for 2D metallic crystals under Rashba-type coupling, fixed number of particles and two-fold energy band…

Strongly Correlated Electrons · Physics 2017-10-06 H. Vivas

We consider a two-dimensional electron gas with Rashba's spin-orbit interaction and two in-plane potentials superimposed along directions perpendicular to each other. The first of these potentials is assumed to be a general periodic…

Mesoscale and Nanoscale Physics · Physics 2007-09-19 S. Smirnov , D. Bercioux , M. Grifoni

We study the electronic band structure of monolayer graphene when Rashba spin-orbit coupling is present. We show that if the Rashba spin-orbit coupling is stronger than the intrinsic spin-orbit coupling, the low energy bands undergo…

Mesoscale and Nanoscale Physics · Physics 2010-10-05 Peter Rakyta , Andor Kormanyos , Jozsef Cserti

We have developed new methods to calculate dispersion curves (analytically in the simpler cases) from which we are able to derive the spatial distribution of electron and current densities. We investigate the case where the magnetic field…

Condensed Matter · Physics 2009-10-28 E. Hofstetter , J. M. C. Taylor , A. MacKinnon

Graphene features topological edge bands that connect the pair of Dirac points through either sectors of the 1D Brillouin zone depending on edge configurations (zigzag or bearded). Because of their flat dispersion, spontaneous edge…

Mesoscale and Nanoscale Physics · Physics 2022-07-12 Tixuan Tan , Fengren Fan , Ci Li , Wang Yao

This article provides a pedagogical review on Klein tunneling in graphene, i.e. the peculiar tunneling properties of two-dimensional massless Dirac electrons. We consider two simple situations in detail: a massless Dirac electron incident…

Mesoscale and Nanoscale Physics · Physics 2011-11-03 P. E. Allain , J. N. Fuchs

Reflection and transmission of electrons scattered by a rectangular potential step in the presence of an external magnetic field parallel to the electron beam is described with the use of the Dirac equation. It is shown that in addition to…

Quantum Physics · Physics 2020-06-24 Wlodek Zawadzki , Pawel Pfeffer