Nature of order from random two-body interactions

Details Nature of order from random two-body interactions Nature of order from random two-body interactions

2001-10-26

arxiv.org/abs/cond-mat/0110551v1

Physica A301 (2001) 291-300

Physics

Condensed Matter

LaTeX2e-RevTeX, 11 pages, 5 Postscript figures

Scientific paper

10.1016/S0378-4371(01)00403-4

We investigate the origin of order in the low-lying spectra of many-body systems with random two-body interactions. Our study based both on analytical as well as on numerical arguments shows that except for the most $J$-stretched states, the ground states in the higher $J$-sectors are more orderly and develop larger energy gaps than the ones in the J=0-sector. Due to different characteristic energy scales in different $J$-sectors the J=0 ground states may predominate only when all the states are taken together.

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