Persistent current and Drude weight for the one-dimensional Hubbard model from current lattice density functional theory

A. Akande; S. Sanvito

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arXiv · 1012.5908

Persistent current and Drude weight for the one-dimensional Hubbard model from current lattice density functional theory

A. Akande·S. Sanvito

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Abstract

The Bethe-Ansatz local density approximation (LDA) to lattice density functional theory (LDFT) for the one-dimensional repulsive Hubbard model is extended to current-LDFT (CLDFT). The transport properties of mesoscopic Hubbard rings threaded by a magnetic flux are then systematically investigated by this scheme. In particular we present calculations of ground state energies, persistent currents and Drude weights for both a repulsive homogeneous and a single impurity Hubbard model. Our results for the ground state energies in the metallic phase compares favorably well with those obtained with numerically accurate many-body techniques. Also the dependence of the persistent currents on the Coulomb and the impurity interaction strength, and on the ring size are all well captured by LDA-CLDFT. Our study demonstrates that CLDFT is a powerful tool for studying one-dimensional correlated electron systems with high accuracy and low computational costs.

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A. Akande, S. Sanvito. 2010-12-29. Persistent current and Drude weight for the one-dimensional Hubbard model from current lattice density functional theory. https://arxiv.org/abs/1012.5908

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