Evidence for ideal insulating/conducting state in a 1D integrable system

Abstract

Using numerical diagonalization techniques we analyze the finite temperature/frequency conductance of a one dimensional model of interacting spinless fermions. Depending on the interaction, the observed finite temperature charge stiffness and low frequency conductance indicate a fundamental difference between integrable and non-integrable cases. The integrable systems behave as ideal conductors in the metallic regime and as ideal insulators in the insulating one. The non-integrable systems are, as expected, generic conductors in the metallic regime and activated ones in the insulating regime.

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• Integrability and ideal conductance at finite temperatures
• Poisson versus GOE statistics in integrable and non-integrable quantum hamiltonian
• Connection between low energy effective Hamiltonians and energy level statistics

Cited by in corpus (110)

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