Phase Transition in Anyon Superconductivity at Finite Temper(5)

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,

Γ(2)= dxdy[aµ(x)+eAµ(x)]Πµν(x,y)[aν(y)+eAν(y)].(2.19)

In(2.19)Πµνrepresentsthefermionone-looppolarizationoperatorinthepresenceoftheCSbackgroundmagnetic eld

k2+Π0′,A2=Π1,A3+A1=Π2(2.21)

From(2.20)and(2.21)wehavethatthenewindependentcoe cientscanbefoundfromthepolarizationoperatorcomponents

Π0Π00=

+Π0

′

k2 k0k2 iΠ1k1(2.23)

2Π22=Π2k1 Π0

b

[28],[29],[36]

G(p4,p)=∞ dρ

n=0 ∞0∞ ∞ dx2bexp (ip2x2)exp ip4+µ 2m ρ n(ξ) n(ξ′)tn(2.25)

where

t=expmρ,ξ=p1

2

,ξ′=p12(2.26)