Solitonic ground states in (color-) superconductivity

Abstract

We present a general framework for analyzing inhomogeneous (color-) superconducting phases in mean-field approximation without restriction to the Ginzburg-Landau approach. As a first application, we calculate real gap functions with general one-dimensional periodic structures for a 3+1-dimensional toy model having two fermion species. The resulting solutions are energetically favored against homogeneous superconducting (BCS) and normal conducting phases in a window for the chemical potential difference which is about twice as wide as for the most simple plane-wave ansatz ("Fulde-Ferrell phase"). At the lower end of this window, we observe the formation of a soliton lattice and a continuous phase transition to the BCS phase. At the higher end of the window the gap functions are sinusoidal, and the transition to the normal conducting phase is of first order. We also discuss the quasiparticle excitation spectrum in the inhomogeneous phase. Finally, we compare the gap functions with the known analytical solutions of the 1+1-dimensional theory.

24 pages, 18 figures; v2: minor modifications, to appear in PRD

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Color superconductivity in dense quark matter
• Two lectures on color superconductivity
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• From relativistic quantum fields to condensed matter and back again: Updating the Gross-Neveu phase diagram
• Chromomagnetic instability in dense quark matter
• A Twisted Kink Crystal in the Chiral Gross-Neveu model
• A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
• The Crystallography of Three-Flavor Quark Matter
• Testing the Ginzburg-Landau approximation for three-flavor crystalline color superconductivity
• On the unlocking of color and flavor in color-superconducting quark matter
• Neutrality of the color-flavor-locked phase in a Dyson-Schwinger approach

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