Quantum correction to the Kubo formula in closed mesoscopic systems

Details Quantum correction to the Kubo formula in closed mesoscopic systems Quantum correction to the Kubo formula in closed mesoscopic systems

2002-11-11

arxiv.org/abs/cond-mat/0211200v1

Phys. Rev. B 68, 041306(R) (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 eps figures, REVTeX4

Scientific paper

10.1103/PhysRevB.68.041306

We study the energy dissipation rate in a mesoscopic system described by the parametrically-driven random-matrix Hamiltonian H[\phi(t)] for the case of linear bias \phi=vt. Evolution of the field \phi(t) causes interlevel transitions leading to energy pumping, and also smears the discrete spectrum of the Hamiltonian. For sufficiently fast perturbation this smearing exceeds the mean level spacing and the dissipation rate is given by the Kubo formula. We calculate the quantum correction to the Kubo result that reveals the original discreteness of the energy spectrum. The first correction to the system viscosity scales proportional to v^{-2/3} in the orthogonal case and vanishes in the unitary case.

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