Many-body spectral statistics of interacting Fermions

Details Many-body spectral statistics of interacting Fermions Many-body spectral statistics of interacting Fermions

1998-10-17

arxiv.org/abs/cond-mat/9810211v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

proceedings of "Percolation, Interaction, Localization: Simulations of Transport in Disordered Systems", Berlin 98. 10 pages,

Scientific paper

10.1002/(SICI)1521-3889(199811)7

We have studied the appearance of chaos in the many-body spectrum of interacting Fermions. The coupling of a single state to the Fermi sea is considered. This state is coupled to a hierarchy of states corresponding to one or several particle-hole excitations. We have considered various couplings between two successive generations of this hierarchy and determined under which conditions this coupling can lead to Wigner-Dyson correlations. We have found that the cross-over from a Poisson to a Wigner distribution is characterized not only by the ratio $V/\Delta_c$, but also by the ratio $\Delta_c/\delta$. $V$ is the typical interaction matrix element, $\delta$ is the energy distance between {\it many-body} states and $\Delta_c$ is the distance between many-body states coupled by the interaction.

Affiliated with

Also associated with

No associations

Rating

Many-body spectral statistics of interacting Fermions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Many-body spectral statistics of interacting Fermions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Many-body spectral statistics of interacting Fermions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-587368