The ground state of the two-dimensional Hubbard model

TL;DR

This paper investigates the ground state of the 2D Hubbard model using adaptive sampling quantum Monte Carlo, revealing key features like d-wave correlations, a spin gap, and peak coexistence that align with experimental observations.

Contribution

It introduces the use of adaptive sampling quantum Monte Carlo to study the 2D Hubbard model's ground state, highlighting novel findings on correlation functions and peak coexistence.

Findings

Enhanced d-wave correlation function

Presence of a spin gap

Coexistence of commensurate and incommensurate peaks

Abstract

We have studied the ground state of the two-dimensional Hubbard model by using the adaptive sampling quantum monte carlo method. We found enhancement of the d-wave correlation function, the spin gap and the coexistence of both the commensurate and incommensurate peaks in $S(\vec{q})$, which does not contradict a recent experimental finding that both the resonance peak and the incommensurate peaks reside in the same doping level of YBCO and BSCCO.