Thermodynamic properties of noninteracting quantum gases with spin-orbit coupling

In this brief report we study thermodynamic properties of noninteracting quantum gases with isotropic spin-orbit coupling. At high temperature, coefficients of virial expansion depend on both temperature T and spin-orbit coupling strength kappa. For strong coupling, virial expansion is applicable to the temperature region below the conventional degenerate temperature T-F. At low temperature, specific heat is proportional to root T in Bose gases and T in Fermi gases. Temperature dependence of the chemical potential of fermions shows a different behavior when the Fermi surface is above and below the Dirac point.