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.
|Original language||English (US)|
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|State||Published - Sep 15 2005|