Magnetic impurity in a one-dimensional few-fermion system
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Date
2023-01-24
Open Access Location
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SciPost Foundation
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(c) 2023 The Author/s
CC BY 4.0
CC BY 4.0
Abstract
We present a numerical analysis of spin- ½ fermions in a one-dimensional harmonic potential in the presence of a magnetic point-like impurity at the center of the trap. The model represents a few-body analogue of a magnetic impurity in the vicinity of an swave superconductor. Already for a few particles we find a ground-state level crossing between sectors with different fermion parities. We interpret this crossing as a few-body precursor of a quantum phase transition, which occurs when the impurity “breaks” a Cooper pair. This picture is further corroborated by analyzing density-density correlations in momentum space. Finally, we discuss how the system may be realized with existing cold-atoms platforms.
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Citation
Rammelmüller L, Huber D, Čufar M, Brand J, Hammer HW, Volosniev AG. (2023). Magnetic impurity in a one-dimensional few-fermion system. SciPost Physics. 14. 1.