Vortex and gap generation in gauge models of graphene

Oliveira, Orlando; Cordeiro, Claudette; Delfino, A.; Paula, W. de; Frederico, T.

doi:10.1103/physrevb.83.155419

Cited by 26 publications

(37 citation statements)

References 49 publications

(76 reference statements)

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“…These effective particles can be described by a massless 3+1 Dirac equation within the framework of interacting quantum field-theories (see e.g. [14,15]). One example is the continuum spectrum of the Dirac electron interacting with two dimensional potentials embedded in a 3+1 space [16].…”

Section: Discussionmentioning

confidence: 99%

General spin and pseudospin symmetries of the Dirac equation

et al. 2015

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In the 70's Smith and Tassie, and Bell and Ruegg independently found SU(2) symmetries of the Dirac equation with scalar and vector potentials. These symmetries, known as pseudospin and spin symmetries, have been extensively researched and applied to several physical systems. Twenty years after, in 1997, the pseudospin symmetry has been revealed by Ginocchio as a relativistic symmetry of the atomic nuclei when it is described by relativistic mean field hadronic models. The main feature of these symmetries is the suppression of the spin-orbit coupling either in the upper or lower components of the Dirac spinor, thereby turning the respective second-order equations into Schrödinger-like equations, i.e, without a matrix structure. In this paper we propose a generalization of these SU(2) symmetries for potentials in the Dirac equation with several Lorentz structures, which also allow for the suppression of the matrix structure of second-order equation equation of either the upper or lower components of the Dirac spinor. We derive the general properties of those potentials and list some possible candidates, which include the usual spin-pseudospin potentials, and also 2-and 1-dimensional potentials. An application for a particular physical system in two dimensions, electrons in graphene, is suggested.

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Section: Discussionmentioning

confidence: 99%

General spin and pseudospin symmetries of the Dirac equation

et al. 2015

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“…In this framework, electrons are described by a four component Dirac-type spinor, while the carbon degrees of freedom are associated with a scalar field ϕ and a gauge field A µ . Since the full description is somewhat long-winded, here we briefly present the main features of the model and direct the reader to 39 for a full account. In this gauge model, the electron dynamics is described by the Dirac equation…”

Section: The Theoretical Setupmentioning

confidence: 99%

“…Within this framework, carbon nanotubes and graphene have been studied and their quantum properties have been reproduced 42,43 . In the present study, inspired by the work of [39][40][41] , we explore how charge confinement and Klein tunneling can be induced by certain types of defects, and examine how defects -modeled as 1D potential barriers -can be mapped into fermionic operators. As described below, charge localization can be achieved via a barrier which breaks the sublattice symmetry.…”

Section: Introductionmentioning

confidence: 99%

Charge confinement and Klein tunneling from doping graphene

Popovici¹,

Oliveira²,

Paula³

et al. 2012

Phys. Rev. B

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In the present work, we investigate how structural defects in graphene can change its transport properties. In particular, we show that breaking of the sublattice symmetry in a graphene monolayer overcomes the Klein effect, leading to confined states of massless Dirac fermions. Experimentally, this corresponds to chemical bonding of foreign atoms to carbon atoms, which attach themselves to preferential positions on one of the two sublattices. In addition, we consider the scattering off a tensor barrier, which describes the rotation of the honeycomb cells of a given region around an axis perpendicular to the graphene layer. We demonstrate that in this case the intervalley mixing between the Dirac points emerges, and that Klein tunneling occurs.

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“…Graphene is a 2D material whose low energy electronic excitations can be described by a massless Dirac equation [1,2,3,4,5,6]. The Dirac equation can be motivated starting from the tight-binding model and assuming that graphene is a flat sheet.…”

Section: Introductionmentioning

confidence: 99%

Quantum Field Theory Approach to the Optical Conductivity of Strained and Deformed Graphene

et al. 2015

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The computation of the optical conductivity of strained and deformed graphene is discussed within the framework of quantum field theory in curved spaces. The analytical solutions of the Dirac equation in an arbitrary static background geometry for one dimensional periodic deformations are computed, together with the corresponding Dirac propagator. Analytical expressions are given for the optical conductivity of strained and deformed graphene associated with both intra and interbrand transitions. The special case of small deformations is discussed and the result compared to the prediction of the tight-binding model.

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Vortex and gap generation in gauge models of graphene

Cited by 26 publications

References 49 publications

General spin and pseudospin symmetries of the Dirac equation

General spin and pseudospin symmetries of the Dirac equation

Charge confinement and Klein tunneling from doping graphene

Quantum Field Theory Approach to the Optical Conductivity of Strained and Deformed Graphene

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