Fluctuation effects near <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>H</mi></mrow><mrow><mi>c</mi><mn>2</mn></mrow></msub></mrow></math></span> in type-II superconductors

E. Brézin; D. R. Nelson; A. Thiaville

doi:10.1103/PhysRevB.31.7124

Fluctuation effects near $H_{c 2}$ in type-II superconductors

E. Brézin, D. R. Nelson, and A. Thiaville

Phys. Rev. B 31, 7124 – Published 1 June 1985

Abstract

Abrikosov’s mean-field theory of type-II superconductors predicts an unusual continuous freezing transition to a triangular flux lattice at $H_{c 2}$ . We show that fluctuations, which are negligible above d=6, drive this transition first order to lowest order in an expansion in ε=6-d.