Variational study of the neutron resonance mode in the cuprate superconductors

TL;DR

This paper introduces a Gutzwiller variational wave function and an efficient Monte Carlo method to study the neutron resonance mode in cuprate superconductors, accurately predicting its energy and spectral weight variations with doping.

Contribution

It proposes a novel variational wave function and a re-weighting Monte Carlo technique for analyzing neutron resonance modes in cuprates, with no free parameters involved.

Findings

Predicts the energy and spectral weight of the resonance mode as functions of doping

Qualitatively correct behavior observed for both energy and spectral weight

Method is efficient and parameter-free

Abstract

A Gutzwiller-type variational wave function is proposed for the neutron resonance mode in the cuprate superconductors. An efficient re-weighting technique is devised to perform variational Monte Carlo simulation on the proposed wave function which is composed of linearly superposed Gutzwiller projected Slater determinants. The calculation, which involves no free parameter, predicts qualitatively correct behavior for both the energy and the spectral weight of the resonance mode as functions of doping.