Bifurcating standing waves for effective equations in gapped honeycomb structures

William 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
, R. Carlone

Facoltà di Scienze Matematiche, Fisiche e Naturali

University of Naples Federico II

Risultato della ricerca: Contributo in rivista › Articolo

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

All Science Journal Classification (ASJC) codes

Fisica della Materia Condensata
Scienza dei Materiali (varie)
Fisica e Astronomia (varie)
Matematica (varie)

Keywords

critical Dirac equations

Accesso al documento

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

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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.",

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Bifurcating standing waves for effective equations in gapped honeycomb structures

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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