Physics – Condensed Matter – Superconductivity
Scientific paper
2006-05-31
Physical Review B 74, 144516 (2006)
Physics
Condensed Matter
Superconductivity
17 pages, 12 figures; a new appendix is added (material taken from cond-mat/0604105)
Scientific paper
10.1103/PhysRevB.74.144516
We introduce a simple model of the low energy electronic states in the vicinity of a vortex undergoing quantum zero-point motion in a d-wave superconductor. The vortex is treated as a point flux tube, carrying pi-flux of an auxiliary U(1) gauge field, which executes simple harmonic motion in a pinning potential. The nodal Bogoliubov quasiparticles are represented by Dirac fermions with unit U(1) gauge charge. The energy dependence of the local density of electronic states (LDOS) at the vortex center has no zero bias peak; instead, small satellite features appear, driven by transitions between different vortex eigenmodes. These results are qualitatively consistent with scanning tunneling microscopy measurements of the sub-gap LDOS in cuprate superconductors. Furthermore, as argued in L. Balents et al., Phys.Rev.B 71, 144508 (2005), the zero-point vortex motion also leads naturally to the observed periodic modulations in the spatial dependence of the sub-gap LDOS.
Bartosch Lorenz
Nikolic Predrag
Sachdev Subir
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