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

TL;DR

This paper investigates the relationship between the superconducting transition temperature and pseudogap energy in underdoped high-Tc cuprates, exploring whether anyon fractional statistics can explain their superfluidity.

Contribution

It introduces a model linking Tc and pseudogap energy using anyon fractional statistics, specific to quasi-two-dimensional high-Tc cuprates.

Findings

Scaling of Tc with pseudogap energy supports anyon statistics model.

Analysis suggests fractional statistics interpolate between Fermi-Dirac and Bose-Einstein.

Results align with the idea of anyons influencing high-Tc superfluidity.

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.