Entanglement in doped Resonating Valence Bond states

TL;DR

This paper studies how doping affects entanglement in resonating valence bond states on a 2D lattice, exploring implications for high-temperature superconductivity and identifying a dopant density that maximizes entanglement.

Contribution

It analyzes entanglement properties in doped RVB states and identifies a specific dopant density that maximizes entanglement in the system.

Findings

Maximum entanglement occurs at a specific dopant density.

Doped RVB states exhibit significant entanglement changes with doping.

Insights into the role of entanglement in high-temperature superconductivity.

Abstract

We investigate the entanglement properties of resonating valence bond states on a two dimensional lattice in the presence of dopants that remove electrons from the lattice creating "holes". The movement of the holes generated by the Hubbard Hamiltonian in the regime of strong Coloumb repulsion in this setting could be responsible for the phenomenon of high temperature superconductivity as hypothesised by Anderson in Science {\bf 235}, 1196, (1987). We argue that there is a particular density of dopants (holes) where the entanglement contained in the lattice attains its maximal value for the nearest-neighbour RVB liquid state.