Phase Transition in Anyon Superconductivity at Finite Temper(3)

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,

II.ANYONFLUIDATHIGHTEMPERATUREANDDENSITY

A.Many-particlemodelandenergygap

Thenon-relativisticchargedanyonsystemininteractionwithanelectromagnetic eldin2+1dimensionscanbemodeledbytheMCSLagrangiandensity

L= 1

4πεµνρaµ νaρ+eneA0+iψ D0ψ 1

4πεµνρfνρ= jµ (2.6)

(2.7) νFµν=e jµ eneδµ0

Toguaranteetheelectricneutralityofthesystemformedbytheelectron uidandthebackgroundchargeneweimposethecondition

0 j neδµ0=0,(2.8)

wherej0isthemany-particlesystemfermiondensity

0 j=

ip4+µ p2