Autori: Borchin O.

Editorial: Dedicated to Professor Ioan Gottlieb’s 80th anniversary, http://www.infim.ro/rrp/, Romanian Report in Physics, Vol. 61, No. 3, p.479–486, 2009.

Rezumat:

Peierls gap is analized in case of a two-dimensional lattice under the influence of a
magnetic field, in a tight-binding approximation. By using a non-analytic class of potentials, such as
the Kohmoto potential in the Harper model, splitting effect occurs in the energy bands. In the
metalinsulator transition point, the charge carriers become separated due to their energy, releasing and
expanding the Peierls gap. As a result, the energy bands around the Fermi level become localized in
case of the electrons and delocalized coresponding to the holes, since their energy become lowered.
These facts are supported by numerical investigations.

Cuvinte cheie: Harper model, quasi-periodic potentials, recursive energy bands.

URL: http://www.infim.ro/rrp/2009_61_3/art13Borchin.pdf

Autori: Borchin O.

Editorial: http://arxiv.org/, arXiv:0906.3367v1 [cond-mat.mes-hall], p.9, 2009.

Rezumat:

Peierls gap is analyzed in case of a two-dimensional lattice under the
influence of a magnetic field, in a tight-binding approximation. By using
a non-analytic class of potentials, such as the Kohmoto potential in the
Harper model, splitting effect occurs in the energy bands. In the metalinsulator
transition point, the charge carriers become separated due to
their energy, releasing and expanding the Peierls gap. As a result, the
energy bands around the Fermi level become localized in case of the
electrons and delocalized coresponding to the holes, since their energy
become lowered. These facts are supported by numerical investigations.

Cuvinte cheie: Harper model, quasi-periodic potentials, recursive energy bands

URL: http://arxiv.org/PS_cache/arxiv/pdf/0906/0906.3367v1.pdf