Kondo screening and random-singlet formation in highly disordered systems
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917101455802368 |
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| author | Rabelo, Lucas G. Almeida, Igor C. Miranda, Eduardo Dobrosavljević, Vladimir Andrade, Eric C. |
| author_facet | Rabelo, Lucas G. Almeida, Igor C. Miranda, Eduardo Dobrosavljević, Vladimir Andrade, Eric C. |
| contents | We propose a minimal model to capture the anomalous low-temperature thermodynamics of doped semiconductors, such as Si:P, across the metal-insulator transition. We consider pairs of local magnetic moments coupled to a highly disordered, non-interacting electronic bath that undergoes a metal-insulator transition with increasing doping. Using a large-$\mathcal{N}$ variational approach, we capture both the inhomogeneous local Fermi-liquid and the insulating random-singlet phase, and find that the local moment susceptibility exhibits a robust power-law behavior, $χ(T) \propto T^{-α}$, with $α$ evolving smoothly with doping before saturating in the metal. Our results highlight the competition between Kondo screening and random-singlet formation as the key ingredient in constructing a complete theory for the low-temperature behavior of strongly disordered interacting systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19389 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kondo screening and random-singlet formation in highly disordered systems Rabelo, Lucas G. Almeida, Igor C. Miranda, Eduardo Dobrosavljević, Vladimir Andrade, Eric C. Strongly Correlated Electrons Disordered Systems and Neural Networks We propose a minimal model to capture the anomalous low-temperature thermodynamics of doped semiconductors, such as Si:P, across the metal-insulator transition. We consider pairs of local magnetic moments coupled to a highly disordered, non-interacting electronic bath that undergoes a metal-insulator transition with increasing doping. Using a large-$\mathcal{N}$ variational approach, we capture both the inhomogeneous local Fermi-liquid and the insulating random-singlet phase, and find that the local moment susceptibility exhibits a robust power-law behavior, $χ(T) \propto T^{-α}$, with $α$ evolving smoothly with doping before saturating in the metal. Our results highlight the competition between Kondo screening and random-singlet formation as the key ingredient in constructing a complete theory for the low-temperature behavior of strongly disordered interacting systems. |
| title | Kondo screening and random-singlet formation in highly disordered systems |
| topic | Strongly Correlated Electrons Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2511.19389 |