Thermodynamics of a Fermi liquid in a magnetic field

Joseph Betouras, Dmitri Efremov, Andrey Chubukov

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


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 languageEnglish (US)
Article number115112
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number11
StatePublished - Sep 15 2005


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