Solitonic ground states in (color) superconductivity
Name
Nickel-2009-Solitonic ground sta.pdf
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Author(s)
Nickel, Marcel Dominik Johannes
Buballa, Michael
Date Issued
March 2009
Journal
Physical Review D
Publisher
American Physical Society
Citation
Nickel, Dominik , and Michael Buballa. “Solitonic ground states in (color) superconductivity.” Physical Review D 79.5 (2009): 054009. (C) 2010 The American Physical Society.
Version
Final published version
Abstract
We present a general framework for analyzing inhomogeneous (color-)superconducting phases in the 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 δμ which is about twice as wide as that 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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevD.79.054009
