Phase Transition in Anyon Superconductivity at Finite Temper(6)

The magnetic response of the charged anyon fluid at temperatures larger than the fermion energy gap is investigated in the self-consistent field approximation. In this temperature region a new phase, characterized by an inhomogeneous magnetic penetration,

IntheLandaugauge,theΠµνEuclideancomponents:Π00,Π02andΠ22aregivenby[29],

Π00k,µ,

b=

Πjkk,µ,i(2π)2β dpp0 +G(p)·DjG(p k)+DjG(p)·G(p k),(2.28)4m2β dpp0

2m

wherethenotationΠ4,(2.29)

±DjG(p)=ipj εjk pkG(p),2 ±DjG(p k)=i(pj kj) εjk pkG(p k),2 (2.30)

hasbeenused.Theindependentcoe cients:Π0,Π0′,Π1andΠ2,foundfrom(2.22)-(2.24),arefunctionsofk2,βand

b

π

8π n(2n+1)Θn (2.34)

Π1=1b

πm

where n(2n+1) n β32πm2 n(2n+1)2Θn (2.36)