1303.5493 (Dragos-Victor Anghel et al.)

Equivalence between fractional exclusion statistics and Fermi liquid
theory in interacting particle systems    [PDF]

Dragos-Victor Anghel, George Alexandru Nemnes

We develop a method based on fractional exclusion statistics (FES) to describe s-dimensional systems of interacting particles. The particles -- which are described in the quasiclassical approximation -- are in an external potential and experience a generic particle-particle interaction. We define the FES quasiparticle energies, we calculate the FES parameters of the system and we deduce the equations for the equilibrium particle populations. The FES gas is "ideal", in the sense that the quasiparticle energies do not depend on the other quasiparticle levels populations and the sum of the quasiparticle energies is equal to the total energy of the system. We prove that the FES formalism is equivalent to the standard Landau's Fermi liquid theory (FLT) approach and the FES quasiparticle populations may be calculated from the FLT populations by making the correspondence between the FES and the FLT quasiparticle energies. The FES provides a natural ideal gas description of the interacting particle gas in a generic external potential and in any number of dimensions.

View original: http://arxiv.org/abs/1303.5493