Thermodynamics of a Fermi liquid in a magnetic field

Details Thermodynamics of a Fermi liquid in a magnetic field Thermodynamics of a Fermi liquid in a magnetic field

2005-06-03

arxiv.org/abs/cond-mat/0506083v1

Phys. Rev. B 72, 115112 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages,3 figures

Scientific paper

10.1103/PhysRevB.72.115112

We present calculations of the non-analytic terms in the spin susceptibility chi_s(T) and the specific heat C(T) to systems in a magnetic field. Without a field, chi_s(T) and C(T)/T are linear in T in 2D, while in 3D, chi_s(T) is proportional to T^2 and C(T)/T proportional to T^2 logT. We show that in a magnetic field, the linear in T terms in 2D become scaling functions of mu_B H/T. We present explicit expressions for these functions and show that at high fields, mu_B H >> T, chi_s(T,H) scales as |H|. We also show that in 3D, chi_s(T,H) becomes non-analytic in a field and at high fields scales as H^2 log|H|.

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