LIBAMI: Implementation of algorithmic Matsubara integration

El-Azab, Hossam; McNiven, B. D. E.; LeBlanc, James

doi:10.1016/j.cpc.2022.108469

Cited by 5 publications

(1 citation statement)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We present here a study of the optical conductivity in the weakly coupled 2D Hubbard model from a normalized perturbative expansion of the current-current correlation function. We use Algorithmic Matsubara Integration [17,18] (AMI) to compute the current-current correlation function directly on the real frequency axis without the need for numerical analytic continuation and extract from it the transport scattering time and mass renormalization by using a generalized Drude model. The results for the conductivity present the same behaviour in frequency and temperature as both the experimental and theoretical works even though the self-energy of the Hubbard model does not satisfy the constraint given in the Planckian model.…”

Section: Introductionmentioning

confidence: 99%

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

Grandadam¹,

LeBlanc²

2023

Preprint

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%