Scaling of the superconducting transition temperature in underdoped high-Tc cuprates with a pseudogap energy: Does this support the anyon model of their superfluidity?

摘要

In earlier work, we have been concerned with the scaling properties of someclasses of superconductors, specifically with heavy Fermion materials and withfive bcc transition metals of BCS character. Both of these classes ofsuperconductors were three-dimensional but here we are concerned solely withquasi-two-dimensional high-Tc cuprates in the underdoped region of their phasediagram. A characteristic feature of this part of the phase diagram is theexistence of a pseudogap (pg). We therefore build our approach around theassumption that kB Tc / E_pg is the basic dimensionless ratio on which tofocus, where the energy E_pg introduced above is a measure of the pseudogap.Since anyon fractional statistics apply to two-dimensional assemblies, weexpect the fractional statistics parameter allowing `interpolation' betweenFermi-Dirac and Bose-Einstein statistical distribution functions as limitingcases to play a significant role in determining kB Tc / E_pg and experimentaldata are analyzed with this in mind.