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.

10 pages, 12 figures

References in corpus (12)

• The density-matrix renormalization group in the age of matrix product states
• Theory of Intertwined Orders in High Temperature Superconductors
• Inelastic Light Scattering From Correlated Electrons
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Testing the itinerancy of spin dynamics in superconducting Bi2212
• Pair Density Wave correlations in the Kondo-Heisenberg Model
• Energetics of superconductivity in the two dimensional Hubbard model
• Observing the fluctuating stripes in high Tc superconductors
• Evolution of superconducting correlations within magnetic-field-decoupled CuO(2) layers of La(1.905)Ba(0.095)CuO(4)
• Tendencies of enhanced electronic nematicity in the Hubbard model and a comparison with Raman scattering on high-temperature superconductors

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• 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