Gauge transformations of spin-orbit interactions in graphene

Bertrand Berche; Nelson Bolívar; Alexander López; Ernesto Medina

doi:10.1140/epjb/e2015-60257-4

Gauge transformations of spin-orbit interactions in graphene

Bertrand Berche, Nelson Bolívar, Alexander López, Ernesto Medina

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Inclusion of spin-dependent interactions in graphene in the vicinity of the Dirac points can be posed in terms of non-Abelian gauge potentials. Such gauge potentials being surrogates of physical electric fields and material parameters, only enjoy a limited gauge freedom. A general gauge transformation thus changes the physical model. We argue that this property can be useful in connecting reference physical situations, such as free particle or Rashba interactions to non-trivial physical Hamiltonians with a new set of spin-orbit interactions, albeit constrained to being isoenergetic. We analyse different combinations of spin-orbit interactions in the case of monolayer graphene and show how they are related by means of selected non-Abelian gauge transformations.

Original language	English
Article number	198
Journal	European Physical Journal B
Volume	88
Issue number	8
DOIs	https://doi.org/10.1140/epjb/e2015-60257-4
State	Published - 10 Aug 2015
Externally published	Yes

Keywords

Mesoscopic and Nanoscale Systems

Access to Document

10.1140/epjb/e2015-60257-4

Cite this

@article{b0652b17353a4ab198c697fb29e75904,

title = "Gauge transformations of spin-orbit interactions in graphene",

abstract = "Inclusion of spin-dependent interactions in graphene in the vicinity of the Dirac points can be posed in terms of non-Abelian gauge potentials. Such gauge potentials being surrogates of physical electric fields and material parameters, only enjoy a limited gauge freedom. A general gauge transformation thus changes the physical model. We argue that this property can be useful in connecting reference physical situations, such as free particle or Rashba interactions to non-trivial physical Hamiltonians with a new set of spin-orbit interactions, albeit constrained to being isoenergetic. We analyse different combinations of spin-orbit interactions in the case of monolayer graphene and show how they are related by means of selected non-Abelian gauge transformations.",

keywords = "Mesoscopic and Nanoscale Systems",

author = "Bertrand Berche and Nelson Bol{\'i}var and Alexander L{\'o}pez and Ernesto Medina",

note = "Publisher Copyright: {\textcopyright} 2015, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.",

year = "2015",

month = aug,

day = "10",

doi = "10.1140/epjb/e2015-60257-4",

language = "Ingl{\'e}s",

volume = "88",

journal = "European Physical Journal B",

issn = "1434-6028",

number = "8",

}

TY - JOUR

T1 - Gauge transformations of spin-orbit interactions in graphene

AU - Berche, Bertrand

AU - Bolívar, Nelson

AU - López, Alexander

AU - Medina, Ernesto

PY - 2015/8/10

Y1 - 2015/8/10

N2 - Inclusion of spin-dependent interactions in graphene in the vicinity of the Dirac points can be posed in terms of non-Abelian gauge potentials. Such gauge potentials being surrogates of physical electric fields and material parameters, only enjoy a limited gauge freedom. A general gauge transformation thus changes the physical model. We argue that this property can be useful in connecting reference physical situations, such as free particle or Rashba interactions to non-trivial physical Hamiltonians with a new set of spin-orbit interactions, albeit constrained to being isoenergetic. We analyse different combinations of spin-orbit interactions in the case of monolayer graphene and show how they are related by means of selected non-Abelian gauge transformations.

AB - Inclusion of spin-dependent interactions in graphene in the vicinity of the Dirac points can be posed in terms of non-Abelian gauge potentials. Such gauge potentials being surrogates of physical electric fields and material parameters, only enjoy a limited gauge freedom. A general gauge transformation thus changes the physical model. We argue that this property can be useful in connecting reference physical situations, such as free particle or Rashba interactions to non-trivial physical Hamiltonians with a new set of spin-orbit interactions, albeit constrained to being isoenergetic. We analyse different combinations of spin-orbit interactions in the case of monolayer graphene and show how they are related by means of selected non-Abelian gauge transformations.

KW - Mesoscopic and Nanoscale Systems

UR - http://www.scopus.com/inward/record.url?scp=84938831398&partnerID=8YFLogxK

U2 - 10.1140/epjb/e2015-60257-4

DO - 10.1140/epjb/e2015-60257-4

M3 - Artículo

AN - SCOPUS:84938831398

SN - 1434-6028

VL - 88

JO - European Physical Journal B

JF - European Physical Journal B

IS - 8

M1 - 198

ER -

Gauge transformations of spin-orbit interactions in graphene

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this