Combination Rules, Charge Symmetry, and Hall Effect in Cuprates

TL;DR

This paper derives a rule connecting the Hall coefficient to spin and charge responses in doped Mott insulators, highlighting the roles of holons and spinons and their temperature dependence near different symmetry points.

Contribution

It introduces a theoretical framework incorporating holon and spinon correlations to explain Hall effect behavior in cuprates.

Findings

Hall coefficient near Mott insulator is holon dominated and weakly temperature dependent.

Near charge conjugation symmetry, the Hall coefficient follows diamagnetic susceptibility.

The sign of the Hall coefficient is determined by the Fermi surface shape.

Abstract

The rule relating the observed Hall coefficient to the spin and charge responses of the uniform doped Mott insulator is derived. It is essential to include the contribution of holon and spinon three-current correlations to the effective action of the gauge field. In the vicinity of the Mott insulating point the Hall coefficient is holon dominated and weakly temperature dependent. In the vicinity of a point of charge conjugation symmetry the holon contribution to the observed Hall coefficient is small: the Hall coefficient follows the temperature dependence of the diamagnetic susceptibility with a sign determined by the Fermi surface shape. NOTE: document prepared using REVTEX. (3 Figs, not included, available on request from: ajs16@phx.cam.ac.uk)