Superfluid Density of Strongly Underdoped Cuprate Superconductors from a Four-Dimensional XY Model
Abstract
A new phenomenology is proposed for the superfluid density ρs of strongly underdoped cuprate superconductors based on recent data for ultraclean single crystals of YBa2Cu3O7-x. We show that the puzzling departure from Uemura scaling and the decline of the slope as the Tc=0 quantum critical point is approached can be understood in terms of the renormalization of quasiparticle effective charge by quantum fluctuations of the superconducting phase. We then employ a (3+1)-dimensional XY model to calculate, within particular approximations, the renormalization of ρs and its slope, explain the new phenomenology, and predict its eventual demise close to the quantum critical point.
- Publication:
-
Physical Review Letters
- Pub Date:
- February 2006
- DOI:
- 10.1103/PhysRevLett.96.047007
- arXiv:
- arXiv:cond-mat/0504735
- Bibcode:
- 2006PhRvL..96d7007F
- Keywords:
-
- 74.20.-z;
- 74.25.Fy;
- 74.72.-h;
- 74.81.Fa;
- Theories and models of superconducting state;
- Transport properties;
- Cuprate superconductors;
- Josephson junction arrays and wire networks;
- Condensed Matter - Superconductivity;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- Version published in PRL. For additional info and related work visit http://www.physics.ubc.ca/~franz