Optical conductivity of the Hubbard chain away from half filling

Abstract

We consider the optical conductivity ${\sigma }_1(\omega )$ in the metallic phase of the one-dimensional Hubbard model. Our results focus on the vicinity of half filling and the frequency regime around the optical gap in the Mott insulating phase. By means of a density-matrix renormalization group implementation of the correction-vector approach, ${\sigma }_1(\omega )$ is computed for a range of interaction strengths and dopings. We identify an energy scale $E_{\mathrm{opt}}$ above which the optical conductivity shows a rapid increase. We then use a mobile impurity model in combination with exact results to determine the behavior of ${\sigma }_1(\omega )$ for frequencies just above $E_{\mathrm{opt}}$ which is in agreement with our numerical data. As a main result, we find that this onset behavior is not described by a power law.

6 pages, 5 figures; final version

References in corpus (5)

• The density-matrix renormalization group in the age of matrix product states
• From density-matrix renormalization group to matrix product states
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Real-time dynamics in the one-dimensional Hubbard model
• Spin-charge separated quasiparticles in one dimensional quantum fluids

Cited by in corpus (9)

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• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Finite temperature dynamics of the Mott insulating Hubbard chain
• Excitonic optical spectra and energy structures in a one-dimensional Mott insulator demonstrated by applying a many-body Wannier functions method to a charge model
• A charge model as an effective model of one-dimensional Hubbard and extended Hubbard systems: its application to linear optical spectrum calculations in large systems based upon many-body Wannier functions
• Mobile impurity approach to the optical conductivity in the Hubbard chain
• The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism
• Synergetic effect of spin-orbit coupling and Zeeman splitting on the optical conductivity in the one-dimensional Hubbard model
• Displaced Drude peak from $\pi$-ton vertex corrections