Reference : General two-order-parameter Ginzburg-Landau model with quadratic and quartic interactions
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
General two-order-parameter Ginzburg-Landau model with quadratic and quartic interactions
Ivanov, Igor mailto [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique >]
Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics
American Physical Society
021116 1-19
Yes (verified by ORBi)
College Park
[en] 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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