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Hartree-Fock Simulation of Persistent Current in Rings with Single Scatterer

100%

Németh R., Moško M.

Acta Physica Polonica A

2005

vol. 108

issue 5

795-801

Using the self-consistent Hartree-Fock approximation for spinless electrons at zero temperature, we calculate the persistent current of the interacting electron gas in a one-dimensional ring containing a singleδ barrier. Our results agree with correlated models like the Luttinger liquid model and lattice model with nearest-neighbor interaction. The persistent current is a sine-like function of magnetic flux. It decays with the ring length (L) faster than L^{-1} and eventually like L^{-α-1}, where α>0 is universal.

Tunneling of Interacting Fermions in 1D Systems

81%

Gendiar A., Moško M., Vagner P., Németh R.

Acta Physica Polonica A

2005

vol. 108

issue 4

661-667

Using the self-consistent Hartree-Fock approximation for spinless electrons at zero temperature, we study tunneling of the interacting electron gas through a single δ barrier in a finite one-dimensional wire connected to contacts. Our results exhibit features known from correlated many-body models. In particular, the conductance decays with the wire length as ∝ L^{-2α}, where the powerα is universal. We also show that a similar result for a wire conductance can be extracted from the persistent current (I) through theδ barrier in a one-dimensional ring, where it is known that I∝ L^{-1-α}.

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2 Acta Physica Polonica A

2 2005

2 Moško M.

2 Németh R.

1 Gendiar A.

1 Vagner P.

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Hartree-Fock Simulation of Persistent Current in Rings with Single Scatterer

Tunneling of Interacting Fermions in 1D Systems