Characterizing the Larkin-Ovchinnikov-Fulde-Ferrel phase induced by the chromomagnetic instability

Kenji Fukushima
2006 Physical Review D  
We discuss possible destinations from the chromomagnetic instability in color superconductors with Fermi surface mismatch δμ. In the two-flavor superconducting (2SC) phase we calculate the effective potential for color vector potentials A_α which are interpreted as the net momenta q of pairing in the Larkin-Ovchinnikov-Fulde-Ferrel (LOFF) phase. When 1/√(2)<δμ/Δ<1 where Δ is the gap energy, the effective potential suggests that the instability leads to a LOFF-like state which is characterized
more » ... is characterized by color-rotated phase oscillations with small q. In the vicinity of δμ/Δ=1/√(2) the magnitude of q continuously increases from zero as the effective potential has negative larger curvature at vanishing A_α that is the Meissner mass squared. In the gapless 2SC (g2SC) phase, in contrast, the effective potential has a minimum at gA_α∼δμ∼Δ even when the negative Meissner mass squared is infinitesimally small. Our results imply that the chromomagnetic instability found in the gapless phase drives the system toward the LOFF state with q∼δμ.
doi:10.1103/physrevd.73.094016 fatcat:ugazesbauncvjlf2ymssm5fcda