Charge oscillations in a simple model of interacting magnetic orbits
- URL: http://arxiv.org/abs/2009.00900v1
- Date: Wed, 2 Sep 2020 08:41:22 GMT
- Title: Charge oscillations in a simple model of interacting magnetic orbits
- Authors: Jean-Yves Fortin
- Abstract summary: Exact eigenstates for a set of two or more interacting electronic orbits in a magnetic field are studied.
We consider the oscillations of the overlap function and the transfer of charge density between the orbits as function of the inverse field.
A generalization of this construction is provided for a chain of several interacting orbits with exact eigenfunctions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Exact eigenstates for a set of two or more interacting electronic orbits in a
magnetic field are studied for a class of factorized Hamiltonians with coupled
Fermi surfaces. We study the condition for the existence of
annihilation-creation operators that allows for the construction of
eigenstates. For the case of two interacting cyclotronic orbits, we consider
the oscillations of the overlap function and the transfer of charge density
between the orbits as function of the inverse field. The expressions of the
Fourier frequencies are given in the semiclassical regime and they depend on
the geometrical structure of the electronic bands. A generalization of this
construction is provided for a chain of several interacting orbits with exact
eigenfunctions.
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