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.

6 pages 3 figures Corrected typos

References in corpus (5)

• Random Matrix Theories in Quantum Physics: Common Concepts
• Orderly spectra from random interactions
• Band structure from random interactions
• Generalized seniority from random Hamiltonians
• On the dominance of J(P)=0(+) ground states in even-even nuclei from random two-body interactions

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