Effects of interaction strength, doping, and frustration on the antiferromagnetic phase of the two-dimensional Hubbard model

Abstract

Recent quantum-gas microscopy of ultracold atoms and scanning tunneling microscopy of the cuprates reveal new detailed information about doped Mott antiferromagnets, which can be compared with calculations. Using cellular dynamical mean-field theory, we map out the antiferromagnetic (AF) phase of the two-dimensional Hubbard model as a function of interaction strength $U$, hole doping $\delta$ and temperature $T$. The Néel phase boundary is non-monotonic as a function of $U$ and $\delta$. Frustration induced by second-neighbor hopping reduces Néel order more effectively at small $U$. The doped AF is stabilized at large $U$ by kinetic energy and at small $U$ by potential energy. The transition between the AF insulator and the doped metallic AF is continuous. At large $U$, we find in-gap states similar to those observed in scanning tunneling microscopy. We predict that, contrary to the Hubbard bands, these states are only slightly spin polarized.

6 pages, 3 figures and supplemental information

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Continuous-time Monte Carlo methods for quantum impurity models
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Finite doping signatures of the Mott transition in the two-dimensional Hubbard model
• Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: a non-linear sigma model approach
• Doping Dependence of the Redistribution of Optical Spectral Weight in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Phase separation and competition of superconductivity and magnetism in the two-dimensional Hubbard model: From strong to weak coupling
• c-axis resistivity, pseudogap, superconductivity and Widom line in doped Mott insulators
• Hidden Mott transition and large-$U$ superconductivity in the two-dimensional Hubbard model
• Electronic state of a doped Mott-Hubbard insulator at finite temperatures studied using the dynamical mean-field theory

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