Geometric chaoticity leads to ordered spectra for randomly interacting fermions

Abstract

A rotationally invariant random interaction ensemble was realized in a single-j fermion model. The dominance of ground states with zero and maximum spin was confirmed and explained with a statistical approach based on the random coupling of individual angular momenta. The interpretation is supported by the structure of the ground state wave functions.

Comments: 6 pages 3 figures Corrected typos