Magnetic phase diagram of the three-dimensional doped Hubbard model

TL;DR

This paper maps the magnetic phase diagram of the three-dimensional doped Hubbard model across various temperatures, dopings, and interactions, revealing multiple magnetic phases and thermodynamic properties relevant to cold-atom experiments.

Contribution

It provides a comprehensive phase diagram including incommensurate magnetic orders using dynamical mean-field theory with an efficient free energy computation method.

Findings

Identification of antiferromagnetic and spiral magnetic phases.

Detection of phase competition and possible stripe phases.

Calculation of thermodynamic properties relevant to cold-atom experiments.

Abstract

We establish the phase diagram of the Hubbard model on a cubic lattice for a wide range of temperatures, dopings and interaction strengths, considering both commensurate and incommensurate magnetic orders. We use the dynamical mean-field theory together with an efficient method to compute the free energy which enable the determination of the correct ordering vectors. Besides an antiferromagnetic state close to half-filling, we identify a number of different magnetic spiral phases with ordering vectors $(q,\pi,\pi)$, $(q,q,\pi)$ and $(q,q,q)$ as well as a region with close competition between them, hinting at spatial phase separation or at the onset of a stripe phase. Additionally, we extensively study several thermodynamic properties with direct relevance to cold-atom experiments: the entropy, energy and double-occupancy.