Optical conductivity of the Hubbard chain away from half filling

Alexander C. Tiegel, Thomas Veness, Piet E. Dargel, Andreas Honecker, Thomas Pruschke, Ian P. McCulloch, and Fabian H. L. Essler
Phys. Rev. B 93, 125108 – Published 3 March 2016

Abstract

We consider the optical conductivity σ1(ω) 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, σ1(ω) is computed for a range of interaction strengths and dopings. We identify an energy scale Eopt 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 σ1(ω) for frequencies just above Eopt 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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 8 January 2016

DOI:https://doi.org/10.1103/PhysRevB.93.125108

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Alexander C. Tiegel1, Thomas Veness2, Piet E. Dargel1, Andreas Honecker3, Thomas Pruschke1,*, Ian P. McCulloch4, and Fabian H. L. Essler2

  • 1Institut für Theoretische Physik, Georg-August-Universität Göttingen, 37077 Göttingen, Germany
  • 2The Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3NP, United Kingdom
  • 3Laboratoire de Physique Théorique et Modélisation, CNRS UMR 8089, Université de Cergy-Pontoise, 95302 Cergy-Pontoise Cedex, France
  • 4Centre for Engineered Quantum Systems, School of Physical Sciences, The University of Queensland, Brisbane, Queensland 4072, Australia

  • *Deceased.

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 93, Iss. 12 — 15 March 2016

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×