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Transitions between universality classes of random matrices

Authors
  • Lenz, Georg
  • Haake, Fritz
Publication Date
Nov 05, 1990
Identifiers
DOI: 10.1103/PhysRevLett.65.2325
OAI: oai:inspirehep.net:313598
Source
INSPIRE-HEP
License
Unknown
External links

Abstract

Dyson’s Brownian-motion model is recovered as a rigorous description of the dependence of Hamiltonians H=H0+λV on the control parameter λ when H0 and V belong to different universality classes. For instance, time-reversal invariance may hold for H0 but not for V. The clue to our result lies in (i) a certain rescaling of the energy, H→ √f(λ) (H0+λV), and (ii) not individual Hamiltonians but suitable families.

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