Scaling of the superconducting transition temperature in underdoped high-Tc cuprates with a pseudogap energy: Does this support the anyon model of their superfluidity?
arXiv:cond-mat/0510426 · doi:10.1080/00319100600568673
Abstract
In earlier work, we have been concerned with the scaling properties of some classes of superconductors, specifically with heavy Fermion materials and with five bcc transition metals of BCS character. Both of these classes of superconductors were three-dimensional but here we are concerned solely with quasi-two-dimensional high-Tc cuprates in the underdoped region of their phase diagram. A characteristic feature of this part of the phase diagram is the existence of a pseudogap (pg). We therefore build our approach around the assumption that kB Tc / E_pg is the basic dimensionless ratio on which to focus, where the energy E_pg introduced above is a measure of the pseudogap. Since anyon fractional statistics apply to two-dimensional assemblies, we expect the fractional statistics parameter allowing `interpolation' between Fermi-Dirac and Bose-Einstein statistical distribution functions as limiting cases to play a significant role in determining kB Tc / E_pg and experimental data are analyzed with this in mind.
Phys. Chem. Liquids, to be published
References in corpus (8)
- The pseudogap in high-temperature superconductors: an experimental survey
- Hypothesis of two-dimensional stripe arrangement and its implications for the superconductivity in high-Tc cuprates
- Tc for non s-wave pairing superconductors correlated with coherence length and effective mass
- Temperature dependence of the superconducting gap in high-Tc cuprates
- Superconducting transition temperatures and coherence length in non s-wave pairing materials correlated with spin-fluctuation mediated interaction
- Correlation between characteristic energies in non-s-wave pairing superconductors
- Superconducting transition temperatures of the elements related to elastic constants
- Tc for heavy Fermion superconductors linked with other physical properties at zero and applied pressure