Quasiparticle parameterization of meanfields, Galilei invariance and universal conserving response functions
arXiv:1308.2479 · doi:10.1103/PhysRevE.88.022148
Abstract
The general possible form of meanfield parameterization in a running frame in terms of current, energy and density functionals are examined under the restrictions of Galilean invariance. It is found that only two density-dependent parameters remain which are usually condensed in a position-dependent effective mass and the selfenergy formed by current and mass. The position-dependent mass induces a position-dependent local current which is identified for different nonlinear frames. In a second step the response to an external perturbation and relaxation towards a local equilibrium is investigated. The response function is found to be universal in the sense that the actual parameterization of the local equilibrium does not matter and is eliminated from the theory due to the conservation laws. The explicit form of the response with respect to density, momentum and energy is derived. The compressibility sum rule as well as the sum rule by first and third-order frequency moments are proved analytically to be fulfilled simultaneously. The results are presented for Bose- or Fermi systems in one- two and three dimensions.
Phys Rev E in press
References in corpus (2)
Cited by in corpus (6)
- Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling: I. Kinetic equation and anomalous Hall and spin-Hall effects
- Universal short-time response and formation of correlations after quantum quenches
- Non-relativistic Casimir effect at finite temperature
- Dynamical charge and pseudospin currents in graphene and possible Cooper pair formation
- Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling: II. RPA response functions and collective modes
- Quantum currents and pair correlation of electrons in a chain of localized dots