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Condensed Matter > Mesoscale and Nanoscale Physics
Title: Theory for magnetic-field-driven 3D metal-insulator transitions in the quantum limit
(Submitted on 23 Dec 2020 (v1), last revised 28 Jul 2021 (this version, v3))
Abstract: Metal-insulator transitions driven by magnetic fields have been extensively studied in 2D, but a 3D theory is still lacking. Motivated by recent experiments, we develop a scaling theory for the metal-insulator transitions in the strong-magnetic-field quantum limit of a 3D system. By using a renormalization-group calculation to treat electron-electron interactions, electron-phonon interactions, and disorder on the same footing, we obtain the critical exponent that characterizes the scaling relations of the resistivity to temperature and magnetic field. By comparing the critical exponent with those in a recent experiment [F. Tang et al., Nature (London) 569, 537 (2019)], we conclude that the insulating ground state was not only a charge-density wave driven by electron-phonon interactions but also coexisting with strong electron-electron interactions and backscattering disorder. We also propose a current-scaling experiment for further verification. Our theory will be helpful for exploring the emergent territory of 3D metal-insulator transitions under strong magnetic fields.
Submission history
From: Hai-Zhou Lu [view email][v1] Wed, 23 Dec 2020 08:43:48 GMT (719kb,D)
[v2] Tue, 25 May 2021 09:32:49 GMT (849kb,D)
[v3] Wed, 28 Jul 2021 03:48:59 GMT (835kb,D)
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