Thermodynamics of a Fermi liquid in a magnetic field

Abstract

We extend previous calculations of the nonanalytic terms in the spin susceptibility χs(T) and the specific heat C(T) to systems in a magnetic field. Without a field, χs(T) and C(T) T are linear in T in two dimensions (2D), while in 3D, χs(T) T2 and C(T) T T2lnT. We show that in a magnetic field, the linear in T terms in 2D become scaling functions of μBH T. We present explicit expressions for these functions and show that at high fields μBH T, χs(T,H) scales as H. We also show that in 3D, χs(T,H) becomes nonanalytic in a field and at high fields scales as H2ln H. © 2005 The American Physical Society.