Hall effect and Fermi surface reconstruction via electron pockets in the high-$T_c$ cuprates

TL;DR

This paper models the Fermi surface reconstruction in high-$T_c$ cuprates using a resonating-valence-bond spin-liquid framework, explaining the doping-dependent Hall coefficient behavior and the emergence of electron pockets.

Contribution

It introduces a theoretical calculation of the Hall coefficient within the RVB spin-liquid model, revealing the Fermi surface evolution with doping in high-$T_c$ cuprates.

Findings

Hall number transitions from 1+x to x with doping

Electron pockets cause a change in Hall coefficient behavior

Fermi surface reconstruction occurs via hole- and electron-like pockets

Abstract

The mechanism by which the Fermi surface of high-$T_c$ cuprates undergoes a dramatic change from a large hole-like barrel to small arcs or pockets on entering the pseudogap phase remains a question of fundamental importance. Here we calculate the normal-state Hall coefficient from the resonating-valence-bond spin-liquid model developed by Yang, Rice and Zhang. In this model, reconstruction of the Fermi surface occurs via an intermediate regime where the Fermi surface consists of both hole- and electron-like pockets. We find that the doping $(x)$ dependence of the Hall number transitions from $1+x$ to $x$ over this narrow doping range. At low temperatures, a switch from a downturn to an upturn in the Hall coefficient signals the departure of the electron-like pockets from the Fermi surface.