On reflectionless nature of self-consistent multi-soliton solutions in Bogoliubov-de gennes and chiral Gross-Neveu models

Daisuke A. Takahashi, Muneto Nitta

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Recently the most general static self-consistent multi-soliton solutions in Bogoliubov-de Gennes and chiral Gross-Neveu systems were derived by the present authors (Takahashi and Nitta, Phys. Rev. Lett. 110:131601, 2013). Here we show a few complementary results, which were absent in our previous work. We prove directly from the gap equation that the self-consistent solutions need to have reflectionless potentials. We also give the self-consistent condition for the system consisting of only right-movers, which is more used in high-energy physics.

Original languageEnglish
Pages (from-to)250-257
Number of pages8
JournalJournal of Low Temperature Physics
Volume175
Issue number1-2
DOIs
Publication statusPublished - 2014

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High energy physics
Solitons
solitary waves
physics
energy

Keywords

  • Bogoliubov-de Gennes equation
  • Chiral Gross-Neveu model
  • Gap equation
  • Self-consistent solution
  • Soliton

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics
  • Materials Science(all)

Cite this

On reflectionless nature of self-consistent multi-soliton solutions in Bogoliubov-de gennes and chiral Gross-Neveu models. / Takahashi, Daisuke A.; Nitta, Muneto.

In: Journal of Low Temperature Physics, Vol. 175, No. 1-2, 2014, p. 250-257.

Research output: Contribution to journalArticle

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