Gutzwiller-RVB Theory of High Temperature Superconductivity: Results from Renormalised Mean Field Theory and Variational Monte Carlo Calculations

TL;DR

This paper reviews the Gutzwiller-RVB theory of high-temperature superconductivity, highlighting results from renormalised mean field theory and variational Monte Carlo methods, and comparing them with experimental data.

Contribution

It presents a comprehensive review of RVB theory implementation via RMFT and VMC, including recent advances in excited state analysis and comparison with experimental observations.

Findings

RMFT and VMC successfully reproduce key experimental features

Recent developments extend methods to excited states

Open problems remain for a complete theory

Abstract

We review the Resonating Valence Bond (RVB) theory of high temperatur e superconductivity using Gutzwiller projected wave functions that incorporate strong correlations. After a general overview of the phenomenon of high temperature superconductivity, we discuss Anderson's RVB picture and its implementation by renormalised mean field theory (RMFT) and variational Monte Carlo (VMC) techniques. We review RMFT and VMC results with an emphasis on recent development s in extending VMC and RMFT techniques to excited states. We compare results obtained from these methods with angle resolved photoemission spectroscopy (ARPES) and scanning tunnelling microscopy (STM). We conclude by summarising recent successes of this approach and discuss open problems that need to be solved for a consistent and complete description of high temperature superconductivity using Gutzwiller projected wave functions.