English

Hierarchical Mean-Field Theories

Strongly Correlated Electrons 2007-05-23 v1 Statistical Mechanics

Abstract

We present a systematic and reliable methodology, termed hierarchical mean-field theory (HMFT), to study and predict the behavior of strongly coupled many-particle systems. HMFT is a simple approximation, based upon group theoretical grounds, which deals with competing orders on an equal footing. It is distinctly suitable when the various phases displayed by a system are the result of competing interactions and non-linear couplings of their constituents matter fields. We show applications relevant for systems implemented in optical lattices.

Keywords

Cite

@article{arxiv.cond-mat/0403222,
  title  = {Hierarchical Mean-Field Theories},
  author = {Gerardo Ortiz and Cristian D. Batista},
  journal= {arXiv preprint arXiv:cond-mat/0403222},
  year   = {2007}
}

Comments

10 pages, 2 ps figures. Condensed Matter Theories, Vol. 18. Conference in Luso, 2002

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