Discrete gap breathers in chains with strong hydrogen bonding

A. V. Zolotaryuk, P. Maniadis, G. P. Tsironis

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We consider a diatomic chain of heavy ions coupled by hydrogen bonds which are sufficiently strong compared with other interactions in the system. In this case, each proton in the hydrogen bond is subject to a single-minimum potential resulting from its interaction with nearest-neighbor heavy ions through the Morse potential that contains soft anharmonicity. This diatomic chain of nonlinearly coupled masses admits discrete breather solutions in the gap of the phonon spectrum. Simple analytical arguments accompanying explicit solutions that demonstrate the existence of the gap breather with only one type of symmetry, namely the odd-parity pattern centered at a hydrogen-bonded proton, are present. These arguments are supported by the numerically exact procedure using the anticontinuous limit. Some other multi-breather solutions in the gap are also obtained exactly from the anticontinuous limit.

Original languageEnglish
Pages (from-to)251-258
Number of pages8
JournalPhysica B: Condensed Matter
Volume296
Issue number1-3
DOIs
Publication statusPublished - Feb 2001
Externally publishedYes

Fingerprint

Heavy Ions
Heavy ions
Protons
Hydrogen bonds
Morse potential
heavy ions
hydrogen
hydrogen bonds
Hydrogen
protons
parity
interactions
symmetry

Keywords

  • Anticontinuous limit
  • Diatomic lattices
  • Discrete breathers
  • Hydrogen-bonded chains

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

Discrete gap breathers in chains with strong hydrogen bonding. / Zolotaryuk, A. V.; Maniadis, P.; Tsironis, G. P.

In: Physica B: Condensed Matter, Vol. 296, No. 1-3, 02.2001, p. 251-258.

Research output: Contribution to journalArticle

Zolotaryuk, A. V. ; Maniadis, P. ; Tsironis, G. P. / Discrete gap breathers in chains with strong hydrogen bonding. In: Physica B: Condensed Matter. 2001 ; Vol. 296, No. 1-3. pp. 251-258.
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