Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-11-14
Phys.Rev.D79:054009,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
24 pages, 18 figures; v2: minor modifications, to appear in PRD
Scientific paper
10.1103/PhysRevD.79.054009
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.
Buballa Michael
Nickel Dominik
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