Magnetic Susceptibility and Simulated Neutron Signal in the 2D Hubbard Model

Abstract

We compute dynamic spin susceptibilities in the two-dimensional Hubbard model using the method of Dual Fermions and provide comparison to lattice Monte Carlo and cluster dynamical mean field theory. We examine the energy dispersion identified by peaks in $\mathrm{Im}\chi (\omega ,q)$ which define spin modes and compare the exchange scale and magnon dispersion to neutron experiments on the parent La${}_2$CuO${}_4$ cuprate. We present the evolution of the spin excitations as a function of Hubbard interaction strengths and doping and explore the particle-hole asymmetry of the spin excitations. We also study the correlation lengths and the spin excitation dispersion peak structure and find a `Y'-shaped dispersion similar to neutron results on doped HgBa${}_2$CuO${}_{4+\delta }$.

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• The Hubbard model: A computational perspective
• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Nevanlinna Analytical Continuation
• Self-consistent ladder D$\Gamma$A approach
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• Dynamical Charge Susceptibility in the Hubbard Model
• Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
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• Magnetic phases of the anisotropic triangular lattice Hubbard model
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• Dynamics of magnetic collective modes in the square and triangular lattice Mott insulators at finite temperature