General two-order-parameter Ginzburg-Landau model with quadratic and quartic interactions.
Phys Rev E Stat Nonlin Soft Matter Phys
; 79(2 Pt 1): 021116, 2009 Feb.
Article
in En
| MEDLINE
| ID: mdl-19391715
ABSTRACT
The Ginzburg-Landau model with two-order parameters appears in many condensed-matter problems. However, even for scalar order parameters, the most general U(1)-symmetric Landau potential with all quadratic and quartic terms contains 13 independent coefficients and cannot be minimized with straightforward algebra. Here, we develop a geometric approach that circumvents this computational difficulty and allows one to study properties of the model without knowing the exact position of the minimum. In particular, we find the number of minima of the potential, classify explicit symmetries possible in this model, establish conditions when and how these symmetries are spontaneously broken, and explicitly describe the phase diagram.
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Collection:
01-internacional
Database:
MEDLINE
Language:
En
Journal:
Phys Rev E Stat Nonlin Soft Matter Phys
Journal subject:
BIOFISICA
/
FISIOLOGIA
Year:
2009
Document type:
Article
Affiliation country: