Self-consistent multiple complex-kink solutions in bogoliubov-de gennes and chiral gross-neveu systems

Daisuke A. Takahashi, Muneto Nitta

Research output: Contribution to journalArticle

25 Citations (Scopus)


We exhaust all exact self-consistent solutions of complex-valued fermionic condensates in the (1+1)-dimensional Bogoliubov-de Gennes and chiral Gross-Neveu systems under uniform boundary conditions. We obtain n complex (twisted) kinks, or gray solitons, with 2n parameters corresponding to their positions and phase shifts. Each soliton can be placed at an arbitrary position while the self-consistency requires its phase shift to be quantized by π/N for N flavors.

Original languageEnglish
Article number131601
JournalPhysical Review Letters
Issue number13
Publication statusPublished - 2013 Mar 28


ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this