Anomalous scaling of conductivity in integrable fermion systems

Details Anomalous scaling of conductivity in integrable fermion systems Anomalous scaling of conductivity in integrable fermion systems

2004-03-12

arxiv.org/abs/cond-mat/0403323v2

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 3 figures. Submitted to PRB

Scientific paper

10.1103/PhysRevB.70.205129

We analyze the high-temperature conductivity in one-dimensional integrable models of interacting fermions: the t-V 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 d.c. 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 d.c. conductivity rather than an ideal conductor or insulator scenario.

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