Orbital Effect of the Magnetic Field in Dynamical Mean-Field Theory

Abstract

The availability of large magnetic fields at international facilities and of simulated magnetic fields that can reach the flux-quantum-per-unit-area level in cold atoms, calls for systematic studies of orbital effects of the magnetic field on the self-energy of interacting systems. Here we demonstrate theoretically that orbital effects of magnetic fields can be treated within single-site dynamical mean-field theory with a translationally invariant quantum impurity problem. As an example, we study the one-band Hubbard model on the square lattice using iterated perturbation theory as an impurity solver. We recover the expected quantum oscillations in the scattering rate and we show that the magnetic fields allow the interaction-induced effective mass to be measured through the single-particle density of states accessible in tunneling experiments. The orbital effect of magnetic fields on scattering becomes particularly important in the Hofstadter butterfly regime.

9 pages, 3 figures

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• Interaction-driven Spontaneous Ferromagnetic Insulating States with Odd Chern Numbers
• Pomeranchuk Effect and Tunable Quantum Phase Transitions in 3L-MoTe2/WSe2
• Magnetism and Metallicity in Moiré Transition Metal Dichalcogenides
• Notes on Quantum oscillation for Hatsugai-Kohmoto model
• Interaction and temperature effects on the magneto-optical conductivity of Weyl liquids
• Low-frequency magnetic oscillations induced by strongly electron correlations
• Orbital Magnetic Field Driven Metal-Insulator Transition in Strongly Correlated Electron Systems
• Magnetoresistivity in the Antiferromagnetic Hubbard Model