Optical and DC conductivity in the two-dimensional $t-t'-t''$ Hubbard model near the antiferromagnetic quantum critical pointOptical and DC conductivity in the two-dimensional $t-t'-t''$ Hubbard model near the antiferromagnetic quantum critical point

Dominic Bergeron, Andr 'e-Marie Tremblay

Bulletin of the American Physical SocietyMar 24, 20110 citations

Planckian behaviour in the optical conductivity of the weakly coupled Hubbard model

M. Grandadam, J. P. F. LeBlanc

We study the frequency and temperature dependence of the optical conductivity in the weakly coupled two-dimensional Hubbard model using a renormalized perturbative expansion. The perturbative expansion is based on the skeleton series for the current-current correlation function with a dressed Green`s function and the results are obtained directly on the real frequency axis using Algorithmic Matsubara Integration (AMI). The resulting conductivity shows a temperature-independent power law behaviour in the intermediate frequency regime. Moreover, the associated transport scattering time and renormalized mass exhibit a Planckian behaviour. We show that the self-energy of the Hubbard model, however, is distinct from existing Planckian models. The Planckian behaviour of the conductivity, observed in optimally doped cuprates for example, can thus be obtained from a different form of self-energy than the Planckian model, such as the weakly coupled Hubbard model at half-filling.We study the frequency and temperature dependence of the optical conductivity in the weakly coupled two-dimensional Hubbard model using a renormalized perturbative expansion. The perturbative expansion is based on the skeleton series for the current-current correlation function with a dressed Green`s function and the results are obtained directly on the real frequency axis using Algorithmic Matsubara Integration (AMI). The resulting conductivity shows a temperature-independent power law behaviour in the intermediate frequency regime. Moreover, the associated transport scattering time and renormalized mass exhibit a Planckian behaviour. We show that the self-energy of the Hubbard model, however, is distinct from existing Planckian models. The Planckian behaviour of the conductivity, observed in optimally doped cuprates for example, can thus be obtained from a different form of self-energy than the Planckian model, such as the weakly coupled Hubbard model at half-filling.

arXiv:2303.04964Mar 9, 20230 citations

Optical and DC conductivity in the two-dimensional

t-t'-t''

Hubbard model near the antiferromagnetic quantum critical point