Leibniz-Institut für Festkörper- und Werkstoffforschung
Dresden e.V.
Helmholtzstraße 20
01069 Dresden
Germany
0351/4659380
0351/4659500
H.Eschrig@ifw-dresden.de
www:
Homepage
PROJECTS
Determination of parameters
of the magnetic band structure in strong magnetic fields
from quantum oscillations using exactly
solvable models
PRINCIPAL INVESTIGATOR
|
Prof. Dr.
Helmut Eschrig Leibniz-Institut für Festkörper- und Werkstoffforschung Dresden e.V.
Helmholtzstraße 20 |
TOGETHER WITH
 |
PD Dr.
Manuel Richter Leibniz-Institut für Festkörper- und Werkstoffforschung Dresden e.V.
Helmholtzstraße 20 |
PROJECT RESEARCH ASSISTANT
ABSTRACT
In periodic potentials with external magnetic Fields B in one-electron
approaches, there is a magnetic band structure (MBS) for each (rational)
magnetic Field, which shows all of the features of an ordinary band structure
(BS) at B=0: energy bands, Fermi energy, Fermi surface, density of states
etc. The essential qualitative difference is that the magnetic Brillouin zone
depends on the magnetic Field, which causes a fractal splitting into
subbands. The conventional theory of quantum oscillations (de Haas-van
Alphen-effect, Shubnikov-de Haas-effect etc.) establishes a connection
between parameters of the Fermi surface of the BS and parameters of the
oscillations. In strong magnetic Fields we have to add to this picture not only
the magnetic breakdown between semi-classical orbits of the BS, but there
are completely new series of oscillations, which are generated by MBSs at
finite Fields. The aim of this project is to elucidate the connection between
the parameters of the MBS and these additional quantum oscillations.