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Next-Nearest-Neighbor Hopping in the Falicov-Kimball Model

100%
Czajka K., Maśka M.
Acta Physica Polonica A
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2006
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vol. 109
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issue 4-5
465-469
EN
Results of Monte Carlo simulations for the spinless Falicov-Kimball model with the next-nearest-neighbor hopping are presented. We find the critical value of the next-nearest-neighbor hopping integral, below which the low temperature configuration of the localized particles is the same as in the presence of only the nearest-neighbor hopping. Beyond this critical value the localized particles form horizontal or vertical stripes.
2
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Correlations in Hexagonal Lattice Systems - Application to Carbon Nanotubes

100%
Czajka K., Maśka M.
Acta Physica Polonica A
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2004
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vol. 106
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issue 5
703-707
EN
We present exact diagonalization studies of two-dimensional electron gas on hexagonal lattice. Using Lanczös method we analyze the influence of the Coulomb correlations on the density of states and spectral functions. Choosing appropriate boundary conditions we simulate the geometry of a single wall carbon nanotube. In particular, integration over the boundary condition in one direction and summation in the other one allows us to perform cluster calculations for a tube-like system with a finite diameter and infinite length.
3
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Charge Density Waves in Small Metallic and Superconducting Rings

81%
Maśka M., Czajka K., Mierzejewski M., Śledź Ż.
Acta Physica Polonica A
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2006
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vol. 109
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issue 4-5
519-525
EN
Experimental results concerning persistent currents in small rings threaded by a magnetic flux do not agree with theoretical predictions, especially for experiments performed in diffusive regime. This suggests important role of disorder in these experiments. In this paper we demonstrate how impurities present in ring modify the persistent current by generating or enhancing charge density waves. The electronic correlations are taken into account for both repulsive as well as attractive electron-electron interaction. The calculations are carried out for one-dimensional rings consisting of up to 12 lattice sites using Lanczös exact diagonalization approach, and for finite-width much larger rings using the Bogolyubov-de Gennes equations.
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