Bifurcating standing waves for effective equations in gapped honeycomb structures

William Borrelli; W. Borrelli; R. Carlone

doi:10.17586/2220-8054-2021-12-1-5-14

Bifurcating standing waves for effective equations in gapped honeycomb structures

William Borrelli, W. Borrelli, R. Carlone

Università Cattolica del Sacro Cuore

Risultato della ricerca: Contributo in rivista › Articolo in rivista

Abstract

In this paper, we deal with two-dimensional cubic Dirac equations, appearing as an effective model in gapped honeycomb structures. We give a formal derivation starting from cubic Schr¨odinger equations and prove the existence of standing waves bifurcating from one band-edge of the linear spectrum.

Lingua originale	English
pagine (da-a)	5-14
Numero di pagine	10
Rivista	NANOSYSTEMS
Volume	12
DOI	https://doi.org/10.17586/2220-8054-2021-12-1-5-14
Stato di pubblicazione	Pubblicato - 2021

Keywords

critical Dirac equations

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title = "Bifurcating standing waves for effective equations in gapped honeycomb structures",

abstract = "In this paper, we deal with two-dimensional cubic Dirac equations, appearing as an effective model in gapped honeycomb structures. We give a formal derivation starting from cubic Schr¨odinger equations and prove the existence of standing waves bifurcating from one band-edge of the linear spectrum.",

keywords = "critical Dirac equations, critical Dirac equations",

author = "William Borrelli and W. Borrelli and R. Carlone",

year = "2021",

doi = "10.17586/2220-8054-2021-12-1-5-14",

language = "English",

volume = "12",

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journal = "Nanosystems: Physics, Chemistry, Mathematics",

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T1 - Bifurcating standing waves for effective equations in gapped honeycomb structures

AU - Borrelli, William

AU - Borrelli, W.

AU - Carlone, R.

PY - 2021

Y1 - 2021

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AB - In this paper, we deal with two-dimensional cubic Dirac equations, appearing as an effective model in gapped honeycomb structures. We give a formal derivation starting from cubic Schr¨odinger equations and prove the existence of standing waves bifurcating from one band-edge of the linear spectrum.

KW - critical Dirac equations

UR - http://hdl.handle.net/10807/171309

U2 - 10.17586/2220-8054-2021-12-1-5-14

DO - 10.17586/2220-8054-2021-12-1-5-14

M3 - Article

VL - 12

SP - 5

EP - 14

JO - Nanosystems: Physics, Chemistry, Mathematics

JF - Nanosystems: Physics, Chemistry, Mathematics

SN - 2220-8054

ER -

Bifurcating standing waves for effective equations in gapped honeycomb structures

Abstract

Keywords

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