Spectral Gaps in Graphene Antidot Lattices

Jean-Marie Barbaroux; Decebal Horia Cornean; Edgardo Stockmeyer

doi:10.1007/s00020-017-2411-9

Spectral Gaps in Graphene Antidot Lattices

Jean-Marie Barbaroux, Decebal Horia Cornean, Edgardo Stockmeyer

Research output: Contribution to journal › Journal article › Research › peer-review

5 Citations (Scopus)

Abstract

We consider the gap creation problem in an antidot graphene lattice, i.e. a sheet of graphene with periodically distributed obstacles. We prove several spectral results concerning the size of the gap and its dependence on different natural parameters related to the antidot lattice.

Original language	English
Journal	Integral Equations and Operator Theory
Volume	89
Issue number	4
Pages (from-to)	631-646
Number of pages	16
ISSN	0378-620X
DOIs	https://doi.org/10.1007/s00020-017-2411-9
Publication status	Published - Dec 2017

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https://arxiv.org/pdf/1705.09187.pdf

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@article{213359625dc5436896a763064ecc0240,

title = "Spectral Gaps in Graphene Antidot Lattices",

abstract = "We consider the gap creation problem in an antidot graphene lattice, i.e. a sheet of graphene with periodically distributed obstacles. We prove several spectral results concerning the size of the gap and its dependence on different natural parameters related to the antidot lattice.",

author = "Jean-Marie Barbaroux and Cornean, {Decebal Horia} and Edgardo Stockmeyer",

year = "2017",

month = dec,

doi = "10.1007/s00020-017-2411-9",

language = "English",

volume = "89",

pages = "631--646",

journal = "Integral Equations and Operator Theory",

issn = "0378-620X",

publisher = "Birkhauser Verlag Basel",

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TY - JOUR

T1 - Spectral Gaps in Graphene Antidot Lattices

AU - Barbaroux, Jean-Marie

AU - Cornean, Decebal Horia

AU - Stockmeyer, Edgardo

PY - 2017/12

Y1 - 2017/12

N2 - We consider the gap creation problem in an antidot graphene lattice, i.e. a sheet of graphene with periodically distributed obstacles. We prove several spectral results concerning the size of the gap and its dependence on different natural parameters related to the antidot lattice.

AB - We consider the gap creation problem in an antidot graphene lattice, i.e. a sheet of graphene with periodically distributed obstacles. We prove several spectral results concerning the size of the gap and its dependence on different natural parameters related to the antidot lattice.

U2 - 10.1007/s00020-017-2411-9

DO - 10.1007/s00020-017-2411-9

M3 - Journal article

SN - 0378-620X

VL - 89

SP - 631

EP - 646

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 4

ER -

Spectral Gaps in Graphene Antidot Lattices

Abstract

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