arXiv subjects

Daniel Mattis

Publications and source records attributed to Daniel Mattis.

2 recordsLinked to original sources

arXiv2013

Normal modes of the d>1 fermion gas

In the present work we solve the many-fermion problem in dimensions greater than one by identifying its normal modes. We start by decomposing the Fermi sea into independent sectors labeled by a wavevector q. The product of exactly calculable eigenstates, one from each sector, is an exact eigenstate of the full many-body problem. We examine bosonization of fermions, exchange and pairing forces and quasiparticles, all from this point of view.

cond-mat.str-el↗

arXiv1994

Coulomb Correlations and Instability of Spinless Fermion Gas in 1D and 2D

We study the stability of the ordinary Landau Fermi liquid phase for interacting, spinless electrons. We require causality and demand that the Pauli principle be obeyed. We find a phase diagram determined by two parameters: the particle density and the interaction strength. We find that the homogeneous, constant density Fermi liquid phase of a spinless Fermion gas is {\em never} stable in 1D, but that it may have a restricted domain of stability in 2D.

cond-mat↗