Quantum oscillations in a solvable model of a Kondo insulator
Abstract
We study the effects of interactions on the low-energy density of states (SdH) and magnetization (dHvA) quantum oscillations (QOs) in a Kondo insulator. Toward this end we introduce a generalization of the periodic Anderson model with Sachdev-Ye-Kitaev (SYK) interactions at each site that is exactly solvable in the large-N limit, where N is the number of flavors of the heavy f electrons. We show analytically and numerically that the insulating state remains stable in terms of spectrum, thermodynamics, and transport at low temperatures even for interaction strengths much larger than non-interacting band gap of the hybridization-gap insulator. We analytically derive generalizations of Lifshitz-Kosevich (LK) formulae, distinct for the SdH and dHvA QOs, for the interacting insulator. We find that the SdH oscillation frequencies, F0± δF, corresponding to the conduction and valence band edges, can be weakly renormalized by interaction relative to their non-interacting values. In contrast, dHvA QO frequency F0 is not renormalized by interactions, and remains the same as that for the non-interacting unhybridized bands. The QO amplitudes show a remarkable difference: the dHvA amplitude is essentially unaffected by interactions, while the SdH amplitude is strongly enhanced due to gap renormalization.
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BibTeX
@misc{samanta2026quantum,
title = {{Quantum oscillations in a solvable model of a Kondo insulator}},
author = {Abhisek Samanta and Mohit Randeria and Sumilan Banerjee},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20734},
eprint = {2610.20734},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20734},
}
RIS
TY - UNPB
TI - Quantum oscillations in a solvable model of a Kondo insulator
AU - Abhisek Samanta
AU - Mohit Randeria
AU - Sumilan Banerjee
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.20734
UR - https://arxiv.org/abs/2610.20734
AB - We study the effects of interactions on the low-energy density of states (SdH) and magnetization (dHvA) quantum oscillations (QOs) in a Kondo insulator. Toward this end we introduce a generalization of the periodic Anderson model with Sachdev-Ye-Kitaev (SYK) interactions at each site that is exactly solvable in the large-N limit, where N is the number of flavors of the heavy f electrons. We show analytically and numerically that the insulating state remains stable in terms of spectrum, thermodynamics, and transport at low temperatures even for interaction strengths much larger than non-interacting band gap of the hybridization-gap insulator. We analytically derive generalizations of Lifshitz-Kosevich (LK) formulae, distinct for the SdH and dHvA QOs, for the interacting insulator. We find that the SdH oscillation frequencies, F_0± δF, corresponding to the conduction and valence band edges, can be weakly renormalized by interaction relative to their non-interacting values. In contrast, dHvA QO frequency F_0 is not renormalized by interactions, and remains the same as that for the non-interacting unhybridized bands. The QO amplitudes show a remarkable difference: the dHvA amplitude is essentially unaffected by interactions, while the SdH amplitude is strongly enhanced due to gap renormalization.
ER -