Dresden 2006 – scientific programme

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TT: Tiefe Temperaturen

TT 28: Correlated Electrons: General Theory

TT 28.10: Talk

Thursday, March 30, 2006, 12:30–12:45, HSZ 301

Thermodynamics of a Fermi liquid in a magnetic field. — •Dmitri Efremov¹, Joseph Betouras², and Andrey Chubukov³ — ¹Technical University of Dresden — ²University of Leiden — ³University of Wisconsin

We present calculations of the non-analytic terms in the spin susceptibility χ_s(T) and the specific heat C(T) to systems in a magnetic field. Without a field, χ_s(T) and C(T)/T are linear in T in 2D, while in 3D, χ_s(T) is proportional to T² and C(T)/T proportional to T² logT. We show that in a magnetic field, the linear in T terms in 2D become scaling functions of µ_B H/T. We present explicit expressions for these functions and show that at high fields, µ_B H ≫ T, χ_s(T,H) scales as |H|. We also show that in 3D, χ_s(T,H) becomes non-analytic in a field and at high fields scales as H² log|H|