Article (Scientific journals)
General two-order-parameter Ginzburg-Landau model with quadratic and quartic interactions
Ivanov, Igor
2009In Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 79, p. 021116 1-19
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Abstract :
[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.
Disciplines :
Physics
Author, co-author :
Ivanov, Igor ;  Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique
Language :
English
Title :
General two-order-parameter Ginzburg-Landau model with quadratic and quartic interactions
Publication date :
2009
Journal title :
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
ISSN :
1539-3755
eISSN :
1550-2376
Publisher :
American Physical Society, College Park, United States - Maryland
Volume :
79
Pages :
021116 1-19
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 24 July 2010

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