1202.0144 (V. Zhuravlev et al.)

Exact analytic Gorkov-Ginzburg-Landau theory of type-II
superconductivity in the magneto-quantum oscillations limit    [PDF]

V. Zhuravlev, T. Maniv

A new Green's function representation is employed in a microscopic derivation
of a Ginzburg-Landau theory of strongly type superconductivity at high magnetic
fields. An exact analytical, physically transparent expression for the quartic
term in the corresponding order parameter expansion is presented. The resulting
expression reveals singular non-local contributions to the superconducting (SC)
free energy, associated with highly coherent cyclotron motions of the paired
electrons near the Fermi surface, which are strongly coupled to the vortex
lattice. A major part of these contributions arises from incoherent scattering
by the spatially averaged pair-potential, which is purely harmonic in the de
Haas van Alphen frequency. However, coherent scatterings by the ordered vortex
lattice generate, at low temperatures, large erratically oscillating (i.e.
paramagnetic-diamagnetic) contribution to the SC free energy as a function of
the magnetic field. Vortex lattice disorder, which tends to suppress this
oscillatory component, is found to preserve the singular harmonic part of the
SC free energy.

View original: http://arxiv.org/abs/1202.0144