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Nature of order from random two-body interactions

S. Drozdz·M. Wojcik
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Abstract

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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S. Drozdz, M. Wojcik. 2001-10-26. Nature of order from random two-body interactions. https://doi.org/10.1016/s0378-4371(01)00403-4

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