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This article compares treatments of the Stern-Gerlach experiment across different physical theories, building up to a novel analysis of electron spin measurement in the context of classical Dirac field theory. Modeling the electron as a…

Quantum Physics · Physics 2022-06-22 Charles T. Sebens

The recent detection of the singular diamagnetism of Dirac electrons in a single graphene layer paved a new way of probing 2D quantum materials through the measurement of equilibrium orbital currents which cannot be accessed in usual…

Spin currents that flow perpendicular to the electric field direction are generic in metals and doped semiconductors with spin-orbit coupling. It has recently been argued that the spin Hall conductivity can be dominated by an intrinsic…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Nomura , Jairo Sinova , T. Jungwirth , Q. Niu , A. H. MacDonald

We carry out a comparative study of electronic properties of 2D electron gas (2DEG) in a magnetic field of an infinitesimally thin solenoid with relativistic dispersion as in graphene and quadratic dispersion as in semiconducting…

Strongly Correlated Electrons · Physics 2014-11-20 A. O. Slobodeniuk , S. G. Sharapov , V. M. Loktev

We investigate the effect that the intrinsic spin-orbit and the inter- and intra-layer Rashba interactions have on the energy spectrum of either an unbiased or a biased graphene bilayer. We find that under certain conditions, a Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2010-04-01 Ralph van Gelderen , C. Morais Smith

Schr\"odinger equation for an electron confined to a two-dimensional strip is considered in the presence of homogeneous orthogonal magnetic field. Since the system has edges, the eigenvalue problem is supplied by the boundary conditions…

Mesoscale and Nanoscale Physics · Physics 2017-07-28 Merab Eliashvili , George Tsitsishvili

Charge carriers in single and multilayered graphene systems behave as chiral particles due to the particular lattice symmetry of the crystal. We show that the interplay between the meta-material properties of graphene multilayers and the…

Mesoscale and Nanoscale Physics · Physics 2013-05-07 B. Van Duppen , F. M. Peeters

We have investigated the Fock-Darwin states of the massless chiral fermions confined in a graphitic parabolic quantum dot. In the light of the Klein tunneling, we have analyzed the condition for confinement of the Dirac fermions in a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hong-Yi Chen , Vadim Apalkov , Tapash Chakraborty

We study the band structure of graphene's Dirac-Weyl quasi-particles in a one-dimensional magnetic superlattice formed by a periodic sequence of alternating magnetic barriers. The spectrum and the nature of the states strongly depend on the…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Luca Dell'Anna , Alessandro De Martino

Based on kinetic equations for the density matrix, drift-diffusion equations are derived for a two-dimensional electron gas with Rashba spin-orbit coupling. Universal results are obtained for the weak coupling case. Most interesting is the…

Statistical Mechanics · Physics 2009-11-13 V. V. Bryksin , P. Kleinert

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

We derive boundary conditions for the coupled spin-charge diffusion equations at a transmitting interface between two-dimensional electron systems with different strengths of the Rashba spin-orbit (SO) coupling $\alpha$, and an electric…

Materials Science · Physics 2009-11-11 Yaroslav Tserkovnyak , Bertrand I. Halperin , Alexey A. Kovalev , Arne Brataas

Graphene, the atomic-thin layer of carbon atoms, was first isolated on an insulating substrate in 2004 by two groups in Manchester University [1, 2] and Columbia [3]. Those milestone experiments established the Dirac nature of the charge…

Mesoscale and Nanoscale Physics · Physics 2013-03-26 J. Cayssol

We study how the electronic structure of the bilayer graphene (BLG) is changed by electric field and strain from {\it ab initio} density-functional calculations using the LMTO and the LAPW methods. Both hexagonal and Bernal stacked…

Materials Science · Physics 2010-03-10 B. R. K. Nanda , S. Satpathy

2D materials can host interesting physics and have important applications in various fields. Recent experiment shows that monolayer PtSe$_2$ nanoflakes with neutral zigzag edges are stable. Here, we study semiconducting stoichiometric…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Bo-Wen Yu , Bang-Gui Liu

Two-dimensional electrons in graphene are known to behave as massless fermions with Dirac-Weyl type linear dispersion near the Dirac crossing points. We have investigated the collective excitations of this system in the presence or absence…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vadim Apalkov , Xue-Feng Wang , Tapash Chakraborty

The paper presents the author view on spin-rooted properties of graphene supported by numerous experimental and calculation evidences. Dirac fermions of crystalline graphene and local spins of graphene molecules are suggested to meet a…

Materials Science · Physics 2016-12-28 Elena F. Sheka

Motivated by the conduction properties of graphene discovered and studied in the last decades, we consider the quantum dynamics of a massless, charged, spin 1/2 relativistic particle in three dimensional space-time, in the presence of an…

High Energy Physics - Theory · Physics 2019-12-24 Ivan Morales , Bruno Neves , Zui Oporto , Olivier Piguet

A model of a superlattice consisting of alternating strips of single-layer and bilayer graphene is proposed, whose parameters of the energy spectrum can be controlled by changing the external electric field perpendicular to the surface of…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 V. L. Abdrakhmanov , P. V. Badikova D. V. Zav'yalov , V. I. Konchenkov , S. V. Kryuchkov

Graphene as well as more generally Dirac solids constitute two dimensional materials where the electronic flow is ultra relativistic. When a Dirac solid is deposited on a different substrate surface with roughness, a local random potential…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Marios Mattheakis , G. P. Tsironis , Efthimios Kaxiras
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