Intertwined states at finite temperatures in the Hubbard model

Abstract

Significant advances in numerical techniques have enabled recent breakthroughs in the study of various properties of the Hubbard model - a seemingly simple, yet complex model of correlated electrons that has been a focus of study for more than half a century. In particular, it captures the essence of strong correlations, and is believed to possess various emergent, low energy states and collective excitations characteristic of cuprate high-temperature superconducting materials. While a thorough review of all activity is not possible here, we have focused the discussion on our recent work using unbiased, numerically exact, ``brute force", finite temperature quantum Monte Carlo methods. Our various studies reveal a rich variety of quantum liquid crystal phases, and complementary transport properties, which answer some questions, but certainly raise others concerning ``strange metal" behavior and the ultimate fate of quasiparticles in the Hubbard model.

arXiv comment10 pages, 12 figures

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• Quantum Critical Points and the Sign Problem
• Sign-Free Determinant Quantum Monte Carlo Study of Excitonic Density Orders in a Two-Orbital Hubbard-Kanamori Model
• Angle-Resolved Pair Photoemission Theory for Correlated Electrons
• The significance of "stripes" in the physics of the cuprates, the Hubbard model, and other highly correlated electronic systems
• On the nature of valence charge and spin excitations via multi-orbital Hubbard models for infinite-layer nickelates
• Extracting the spin excitation spectrum of a fermionic system using a quantum processor
• Coincidence detection techniques for direct measurement of many-body correlations in strongly correlated electron systems