2001/08/21 by Luca Marinelli, Bertrand I. Halperin, B. I. Halperin
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Iron-based superconductors research #Physics of Superconductivity and Magnetism #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.65.014516
14 pages, 13 figures, revtex
arxiv created 2001/08/21 · openalex publication_date 2001/12/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The quasiparticle spectrum of a two-dimensional d-wave superconductor in the mixed state, Hc1\ensuremath≪H\ensuremath≪Hc2, is studied for large values of the ``anisotropy ratio'' \ensuremathαD=vF/v_\ensuremathΔ. For a square vortex lattice rotated by 45\ifmmode^∘\else\textdegree\fi from the quasiparticle anisotropy axes (and the usual choice of Franz-Te\ifmmode \checks\else \vs\fianovi\ifmmode \acutec\else 'c\fi singular gauge transformation) we determine essential features of the band structure asymptotically for large \ensuremathαD, 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 \ensuremathαD. Using a different choice of singular gauge transformation, we obtain a different band structure, but still find qualitative agreement between the one-dimensional and full two-dimensional 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.