Ginzburg-Landau theory of vortices in a multigap superconductor

By M. Zhitomirsky, V. Dao. 2003

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The Ginzburg-Landau functional for a two-gap superconductor is derived within the weak-coupling BCS model. The interaction between the two condensates is described by a unique Josephson-type mixing term. The two-gap Ginzburg-Landau theory is then applied to investigate various magnetic properties of ${\mathrm{MgB}}_{2}$ including an upturn temperature dependence of the transverse upper critical field and a core structure of an isolated vortex. The orientation of vortex lattice relative to crystallographic axes is studied for magnetic fields parallel to the c axis. A peculiar $30\ifmmode^\circ\else\textdegree\fi{}$ rotation of the vortex lattice with increasing strength of an applied field observed by neutron scattering is attributed to the multigap nature of superconductivity in ${\mathrm{MgB}}_{2}.$

Subfields: Condensed Matter Physics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/8415ef25003161ab0822d8d0d3a1ca4244fa8d8f