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A variational approach for the two-dimensional magnetopolaron

Erçelebi, Atila
Saqqa, Bassam H.
The problem of a two-dimensional magnetopolaron is investigated on the basis of a variational theory consisting of an adiabatic polaronic wavefunction combined with a perturbative correction by which it is possible to interrelate the strong and weak coupling counterparts of the coupled electron-phonon system. It is seen that the theory conveniently reproduces the desirable asymptotic limits in the different regimes of the problem. Furthermore, it is suggested that a satisfying improvement should be achieved if one adopts a suitably modified coherent phonon state operator which takes into account the fractional admixture of whether the lattice deformation tends to cover the entire Landau orbit or the mean electron position.