Spatial Structures in a Generalized Ginzburg-Landau Free Energy

Details Spatial Structures in a Generalized Ginzburg-Landau Free Energy Spatial Structures in a Generalized Ginzburg-Landau Free Energy

2004-07-30

arxiv.org/abs/cond-mat/0408002v1

Phys. Rev B71, 104509 (2005)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 5 figures

Scientific paper

10.1103/PhysRevB.71.104509

Searching for characteristic signatures of a higher order phase transition (specifically of order three or four), we have calculated the spatial profiles and the energies of a spatially varying order parameter in one dimension. In the case of a $p^{th}$ order phase transition to a superconducting ground state, the free energy density depends on temperature as $a^p$, where $a = a_o(1-T/T_c)$ is the reduced temperature. The energy of a domain wall between two degenerate ground states is $\epsilon_p \simeq a^{p-1/2}$. We have also investigated the effects of a supercurrent in a narrow wire. These effects are limited by a critical current which has a temperature dependence $J_c(T) \simeq a^{(2p-1)/2}$. The phase slip center profiles and their energies are also calculated. Given the suggestion that the superconducting transtion in \bkbox, for $x = 0.4$, may be of order four, these predictions have relevance for future experiments.

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