Anomalous scaling of conductivity in integrable fermion systems
- 29 November 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 70 (20), 205129
- https://doi.org/10.1103/physrevb.70.205129
Abstract
We analyze the high-temperature conductivity in one-dimensional integrable models of interacting fermions: the 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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