Chiral soliton lattice and charged pion condensation in strong magnetic fields

Tomáš Brauner, Naoki Yamamoto

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


The Chiral Soliton Lattice (CSL) is a state with a periodic array of topological solitons that spontaneously breaks parity and translational symmetries. Such a state is known to appear in chiral magnets. We show that CSL also appears as a ground state of quantum chromodynamics at nonzero chemical potential in a magnetic field. By analyzing the fluctuations of the CSL, we furthermore demonstrate that in strong but achievable magnetic fields, charged pions undergo Bose-Einstein condensation. Our results, based on a systematic low-energy effective theory, are model-independent and fully analytic.

Original languageEnglish
Article number132
JournalJournal of High Energy Physics
Issue number4
Publication statusPublished - 2017 Apr 1


  • Effective Field Theories
  • Phase Diagram of QCD
  • Topological States of Matter

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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