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Heavy-light $N+1$ clusters of two-dimensional fermions
by Jules Givois, Andrea Tononi, Dmitry S. Petrov
Submission summary
| Authors (as registered SciPost users): | Jules Givois · Andrea Tononi |
| Submission information | |
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| Preprint Link: | scipost_202403_00030v1 (pdf) |
| Date submitted: | 2024-03-21 13:51 |
| Submitted by: | Givois, Jules |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
Current status:
In refereeing