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1

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

100%

Németh R., Moško M.

Acta Physica Polonica A

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2005

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vol. 108

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issue 5

795-801

EN

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.

2

Thermalization of One-Dimensional Electron Gas by Many-Body Coulomb Scattering

100%

Moško M., Cambel V.

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EN

Quantum wires are peculiar in the sense that binary electron-electron collisions cannot thermalize energy distribution of the electrons in the same subband. We show that such thermalization occurs through many-body Coulomb scattering. We consider one-dimensional electron gas described by Newton equations of motion with many-body Coulomb forces. These equations are solved by molecular dynamics technique. Thermalization of the non-equilibrium distribution towards Maxwell function is demonstrated for a single-subband GaAs wire.

3

Tunneling of Interacting Fermions in 1D Systems

81%

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

Acta Physica Polonica A

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2005

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vol. 108

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issue 4

661-667

EN

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}.

4

Calculation of Excitonic Absorption Spectrum of GaAs Quantum Wire Free-Standing in Vacuum

81%

Vagner P., Munzar D., Moško M.

Acta Physica Polonica A

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1997

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vol. 92

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issue 5

1038-1042

EN

The electron-hole interaction in a thin (≈10 nm) GaAs quantum wire free-standing in vacuum is strongly enhanced by the image charge due to the abrupt permittivity drop at the wire surface. As a result, the exciton binding energies are much larger and the exciton wave functions much more localised than those of the GaAs quantum wire surrounded by the AlGaAs. The absorption spectrum of the free-standing wire shows besides the 1s exciton peak also the 3s and 5s exciton peaks, even if the peaks are 15 meV broad. The continuum absorption edge shows a large blue shift due to the renormalization of single-particle energies by the image charge.

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4 Acta Physica Polonica A

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4 Moško M.

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1 Munzar D.

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

Thermalization of One-Dimensional Electron Gas by Many-Body Coulomb Scattering

Tunneling of Interacting Fermions in 1D Systems

Calculation of Excitonic Absorption Spectrum of GaAs Quantum Wire Free-Standing in Vacuum