  In two-flavor dense quark matter, we describe the dynamics in the single
plane wave Larkin--Ovchinnikov--Fulde--Ferrell (LOFF) state satisfying the
color and electric neutrality conditions. We find that because the neutral LOFF
state itself suffers from a chromomagnetic instability in the whole region
where it coexists with the (gapped/gapless) two-flavor superconducting
(2SC/g2SC) phases, it cannot cure this instability in those phases. This is
unlike the recently revealed gluonic phase which seems to be able to resolve
this problem.
