The long-range interacting Fermi polaron
Physical Review B(2023)
Abstract
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 a suitable Landau--Pekar functional known from the Bose polaron problem which describes a self--interacting impurity. In other dimensions, the impurity self--interacts with an infinite number of its own images, and no bosonization occurs. We discuss applications of our theory for the $2d$ exciton--polaron and the ionic polaron problem and compute the effective mass for these cases, finding a self--trapping transition with order depending on the dimensionality.
MoreTranslated text
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined