High-temperature superconductivity in doped antiferromagnets

TL;DR

This paper models doped antiferromagnets with charge carriers as hard-core bosons, showing flux quantization, superfluidity, and a T_c dependence on doping similar to high-temperature cuprates.

Contribution

It introduces an effective model demonstrating flux quantization and superfluidity in doped antiferromagnets, connecting these to high-temperature superconductivity phenomena.

Findings

Ground state energy is an even periodic function of magnetic flux.

Flux quantization occurs with a flux quantum of 2e.

T_c varies with hole concentration similarly to cuprates.

Abstract

In the context of an effective model for doped antiferromagnets, whereby the charge carriers are treated as hard-core bosons, we demonstrate that the ground state energy close to half-filling is an even periodic function of the external magnetic flux threading the square lattice in an Aharonov-Bohm geometry. The period is equal to the flux quantum $\Phi_{0}=2\pi\hbar c/q$ entering the Peierls phase factor of the hopping matrix elements. Thus flux quantization and a concomitant finite value of superfluid weight D_{s} occur along with metallic antiferromagnetism. We argue that the charge q in the associated flux quantum might be set equal to 2e. The superconducting transition temperature T_{c} is related to D_{s} linearly, in accordance to the generic Kosterlitz-Thouless type of transition in a two-dimensional system, signalling the coherence of the phase fluctuations of the condensate. The calculated dependence of T_{c} on hole concentration is qualitatively similar to that observed in the high-temperature superconducting cuprates.