Anomalous scaling of conductivity in integrable fermion systems

P. Prelovšek, S. El Shawish, X. Zotos, and M. Long
Phys. Rev. B 70, 205129 – Published 29 November 2004

Abstract

We analyze the high-temperature conductivity in one-dimensional integrable models of interacting fermions: the tV model (anisotropic Heisenberg spin chain) and the Hubbard model, at half-filling in the regime corresponding to insulating ground state. A microcanonical Lanczos method study for finite size systems reveals anomalously large finite-size effects at low frequencies while a frequency-moment analysis indicates a finite dc conductivity. This phenomenon also appears in a prototype integrable quantum system of impenetrable particles, representing a strong-coupling limit of both models. In the thermodynamic limit, the two results could converge to a finite dc conductivity rather than an ideal conductor or insulator scenario.

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  • Received 11 June 2004

DOI:https://doi.org/10.1103/PhysRevB.70.205129

©2004 American Physical Society

Authors & Affiliations

P. Prelovšek1,2, S. El Shawish1, X. Zotos3, and M. Long4

  • 1J. Stefan Institute, SI-1000 Ljubljana, Slovenia
  • 2Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia
  • 3Department of Physics, University of Crete, Crete and Foundation for Research and Technology-Hellas, P.O. Box 2208, 71003 Heraklion, Greece
  • 4Department of Physics, University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom

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Issue

Vol. 70, Iss. 20 — 15 November 2004

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