Thermodynamics of a Fermi liquid in a magnetic field

2005/06/03 by Joseph J. Betouras, Joseph Betouras, D. V. Efremov +3
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Rare-earth and actinide compounds #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.72.115112

published as Phys. Rev. B 72, 115112 (2005) · 4 pages,3 figures

arxiv created 2005/06/03 · openalex publication_date 2005/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We extend previous calculations of the nonanalytic terms in the spin susceptibility \ensuremathχ_s(T) and the specific heat C(T) to systems in a magnetic field. Without a field, \ensuremathχ_s(T) and C(T)∕T are linear in T in two dimensions (2D), while in 3D, \ensuremathχ_s(T)\ensuremath∝T² and C(T)∕T\ensuremath∝T²\phantom\rule0.2em0exln\phantom\rule0.2em0exT. We show that in a magnetic field, the linear in T terms in 2D become scaling functions of \ensuremathμ_BH∕T. We present explicit expressions for these functions and show that at high fields \ensuremathμ_BH⪢T, \ensuremathχ_s(T,H) scales as \ensuremath|H\ensuremath|. We also show that in 3D, \ensuremathχ_s(T,H) becomes nonanalytic in a field and at high fields scales as H²\phantom\rule0.2em0exln\ensuremath|H\ensuremath|.

Citations

• Universal temperature corrections to Fermi liquid theory in an interacting electron system
• Leading Temperature Corrections to Fermi-Liquid Theory in Two Dimensions
• Thermodynamics of a Fermi Liquid beyond the Low-Energy Limit
• Interaction corrections to thermal transport coefficients in disordered metals: The quantum kinetic equation approach
• Spin Susceptibility of an Ultra-Low-Density Two-Dimensional Electron System
• Thermodynamic spin magnetization of strongly correlated two-dimensional electrons in a silicon inversion layer