Skyrmion Crystals and Their Symmetries

Feb 27, 1989
35 pages
Published in:
  • Phys.Rev.D 40 (1989) 3421
Report number:
  • WIS-89/6-PH

Citations per year

1990199920082017202501234567
Abstract: (APS)
We discuss the phase diagram of Skyrmion crystals as a function of both density and pressure. The use of symmetry properties of the various phases and of Fourier expansions tailored to fit these symmetries facilitates our discussion. A simple cubic arrangement of half-Skyrmions is, almost everywhere, the lowest-energy phase. At very high densities the simple cubic phase undergoes a transition to a body-centered-cubic crystal of half-Skyrmions. The transition to a crystal of Skyrmions at low densities, that was previously suggested, is not accessible thermodynamically. A first-order phase transition leading to a phase separation occurs before the previous transition can be reached.
  • Skyrme model
  • Skyrmion: crystal
  • symmetry: SU(2)
  • field theory: soliton
  • energy
  • lattice field theory
  • critical phenomena
  • baryon: density
  • numerical calculations