The Polaron Problem

M. Porsch, J. Röseler

Krzysztof Myśliwy, Krzysztof Jachymski

We construct the simplest density functional for the problem of a single impurity interacting with a Fermi gas via a long-ranged potential using the Thomas-Fermi approach. We find that the Fermi polaron is fully bosonized in two dimensions, as the model results in the Landau-Pekar functional known from the Bose polaron problem, and in its many-image extension in other dimensions. We discuss applications of our theory for the two-dimensional exciton-polaron and the ionic polaron problem and compute the effective mass for these cases, finding a self-trapping transition with order dependent on the dimensionality.

G. Höhler

Nikolay N. Bogolubov

1. Linear Polaron Model 2. Equilibrium Thermodynamic State of the Polaron Systems 3. Kinetic Equations in the Polaron Theory.

A. S. Alexandrov, Jozef T. Devreese