DC Hall coefficient of the strongly correlated Hubbard model

Abstract

The Hall coefficient is related to the effective carrier density and Fermi surface topology in noninteracting and weakly interacting systems. In strongly correlated systems, the relation between the Hall coefficient and single-particle properties is less clear. Clarifying this relation would give insight into the nature of transport in strongly correlated materials that lack well-formed quasiparticles. In this work, we investigate the DC Hall coefficient of the Hubbard model using determinant quantum Monte Carlo in conjunction with a recently developed expansion of magneto-transport coefficients in terms of thermodynamic susceptibilities. At leading order in the expansion, we observe a change of sign in the Hall coefficient as a function of temperature and interaction strength, which we relate to a change in the topology of the apparent Fermi surface. We also combine our Hall coefficient results with optical conductivity values to evaluate the Hall angle, as well as effective mobility and effective mass based on Drude theory of metals.

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Cited by in corpus (18)

• Phase Diagram of Infinite Layer Praseodymium Nickelate Pr${}_{1-x}$Sr${}_x$NiO${}_2$ Thin Films
• Orbital and Spin Character of Doped Carriers in Infinite-Layer Nickelates
• Cuprate superconductors as viewed through a striped lens
• Electrical conductivity in the Hubbard model: orbital effects of magnetic field
• Magnon heat transport in a two-dimensional Mott insulator
• Intertwined states at finite temperatures in the Hubbard model
• Numerical approaches for calculating the low-field dc Hall coefficient of the doped Hubbard model
• Metallic transport of hard core bosons
• Hall map and breakdown of Fermi liquid theory in the vicinity of a Mott insulator
• Quantum Transport Theory of Strongly Correlated Matter
• The Strange Metal State of the high-Tc Cuprates
• Hall response of locally correlated two-dimensional electrons at low density
• Superlinear Hall angle and carrier mobility from non-Boltzmann magnetotransport in the spatially disordered Yukawa-Sachdev-Ye-Kitaev model on a square lattice
• Universal low-density power laws of the dc conductivity and Hall constant in the self-consistent Born approximation
• Construction of the spectral function from non-commuting spectral moment matrices
• Nonpertubative Many-Body Theory for the Two-Dimensional Hubbard Model at Low Temperature: From Weak to Strong Coupling Regimes
• Hall Coefficient and Resistivity in the Doped Bilayer Hubbard Model
• Site-selective correlations in interacting "flat-band" quasicrystals