Higgs instability in gapless superfluidity/superconductivity

Ioannis Giannakis; Defu Hou; Mei Huang; Hai-cang Ren

doi:10.1103/PhysRevD.75.011501

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Higgs instability in gapless superfluidity/superconductivity

Ioannis Giannakis, Defu Hou, Mei Huang, Hai-cang Ren

DOI 10.1103/PhysRevD.75.011501 · Physical Review D

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Abstract

In this letter we explore the Higgs instability in the gapless superfluid/superconducting phase. This is in addition to the (chromo)magnetic instability that is related to the fluctuations of the Nambu-Goldstone bosonic fields. While the latter may induce a single-plane-wave Larkin-Ovchinnikov-Fulde-Ferrel state, the Higgs instability favors spatial inhomogeneity. In the case of the 2-flavor color superconductivity state the Higgs instability can only be partially removed by the electric Coulomb energy. But this does not exclude the possibility that it can be completely removed in other exotic states such as the gapless color-flavor locked state.