Hierarchical Mean-Field Theories

Gerardo Ortiz; Cristian D. Batista

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arXiv · cond-mat/0403222

Hierarchical Mean-Field Theories

Gerardo Ortiz·Cristian D. Batista

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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.

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Gerardo Ortiz, Cristian D. Batista. 2004-03-08. Hierarchical Mean-Field Theories. https://arxiv.org/abs/cond-mat/0403222

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