TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.2.050
TI  - Heavy-light $N+1$ clusters of two-dimensional fermions
PY  - 2024/08/13
UR  - https://scipost.org/SciPostPhys.17.2.050
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 2
SP  - 050
A1  - Givois, Jules
AU  - Tononi, Andrea
AU  - Petrov, Dmitry S.
AB  - We study binding of $N$ identical heavy fermions by a light atom in two dimensions assuming zero-range attractive heavy-light interactions. By using the mean-field theory valid for large $N$ we show that the $N+1$ cluster is bound when the mass ratio exceeds $1.074N^2$. The mean-field theory, being scale invariant in two dimensions, predicts only the shapes of the clusters leaving their sizes and energies undefined. By taking into account beyond-mean-field effects we find closed-form expressions for these quantities. We also discuss differences between the Thomas-Fermi and Hartree-Fock approaches for treating the heavy fermions.
ER  -

@Article{10.21468/SciPostPhys.17.2.050,
	title={{Heavy-light $N+1$ clusters of two-dimensional fermions}},
	author={Jules Givois and Andrea Tononi and Dmitry S. Petrov},
	journal={SciPost Phys.},
	volume={17},
	pages={050},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.2.050},
	url={https://scipost.org/10.21468/SciPostPhys.17.2.050},
}