Competition of spin and charge excitations in the Hubbard model

Abstract

Motivated by recent experiments with ultracold fermionic atoms in optical lattices, we study finite temperature magnetic correlations, as singlet and triplet correlations, and the double occupancy in the one-dimensional Hubbard model. We point out that for intermediate interaction strengths the double occupancy has an intriguing doubly non-monotonic temperature dependence due to the competition between spin and charge modes, related to the Pomeranchuk effect. Furthermore, we determine properties of magnetic correlations in the temperature regimes relevant for current cold atom experiments and discuss effects of the trap on spatially integrated observables. We estimate the entropy and the temperature reached in the experiment by Greif et al., Science 340, 1307 (2013).

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• Creating State-Dependent Lattices for Ultracold Fermions by Magnetic Gradient Modulation
• Formation and dynamics of anti-ferromagnetic correlations in tunable optical lattices
• Thermodynamics and magnetic properties of the anisotropic 3D Hubbard model
• Quantum Simulation Meets Nonequilibrium Dynamical Mean Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model
• Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model
• Non-local quantum fluctuations and fermionic superfluidity in the imbalanced attractive Hubbard model
• Unveiling the Finite Temperature Physics of Hydrogen Chains via Auxiliary Field Quantum Monte Carlo
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• Density-functional theory approach to the thermodynamics of the harmonically confined one-dimensional Hubbard model
• Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field
• Effective interaction in a non-Fermi liquid conductor and spin correlations in under-doped cuprates
• Study of effective coupling between charge degrees of freedom in low dimensional hole-doped quantum antiferromagnets
• Quantum simulation of the Hubbard model with ultracold fermions in optical lattices