Quasiparticle spectrum of d-wave superconductors in the mixed state: a large Fermi-velocity anisotropy study

Details Quasiparticle spectrum of d-wave superconductors in the mixed state: a large Fermi-velocity anisotropy study Quasiparticle spectrum of d-wave superconductors in the mixed state: a large Fermi-velocity anisotropy study

2001-08-21

arxiv.org/abs/cond-mat/0108324v1

Physics

Condensed Matter

Superconductivity

14 pages, 13 figures, revtex

Scientific paper

10.1103/PhysRevB.65.014516

The quasiparticle spectrum of a two-dimensional d-wave superconductor in the mixed state, H_c1 << H << H_c2, is studied for large values of the ``anisotropy ratio'' alpha_D = v_F/v_Delta. For a square vortex lattice rotated by 45 degrees from the quasiparticle anisotropy axes (and the usual choice of Franz--Tesanovic singular gauge transformation) we determine essential features of the band structure asymptotically for large alpha_D, using an effective one-dimensional model, and compare them to numerical calculations. We find that several features of the band structure decay to zero exponentially fast for large alpha_D. Using a different choice of singular gauge transformation, we obtain a different band structure, but still find qualitative agreement between the 1D and full 2D calculations. Finally, we distort the square lattice into a non-Bravais lattice. Both the one- and two-dimensional numerical calculations of the energy spectra show a gap around zero-energy, with our gauge choice, and the two excitation spectra agree reasonably well.

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