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ZhETF, Vol. 126, No. 5, p. 1249 (November 2004)
(English translation - JETP, Vol. 99, No. 5, p. 1090, November 2004 available online at www.springer.com )

SYMMETRY-BREAKING SOLUTIONS OF THE GINZBURG-LANDAU EQUATION
Ovchinnikov Yu.N., Sigal I.M.

Received: March 1, 2004

PACS: 74.20.De

DJVU (200.8K) PDF (381.3K)

We consider the question of the existence of nonradial solutions of the Ginzburg-Landau equation. We present results indicating that such solutions exist. We seek such solutions as saddle points of the renormalized Ginzburg-Landau free-energy functional. There are two main points in our analysis: searching for solutions that have certain point symmetries and characterizing saddle-point solutions in terms of critical points of certain intervortex energy function. The latter critical points correspond to forceless vortex configurations.

 
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