Aharonov–Bohm effect in superconducting LOFF state

We study AB oscillations of transition temperature, paraconductivity and specific heat of thin ring in the regime of inhomogeneous Larkin–Ovchinnikov–Fulde–Ferrell (LOFF) superconducting state. We found that in contrast to uniform superconductivity magnetic flux might increase the critical temperature of LOFF state. Degeneracy of the inhomogeneous superconducting state reveals in double peak structure of AB oscillations.