Orbital effect of the magnetic field in dynamical mean-field theory

S. Acheche, L.-F. Arsenault, and A.-M. S. Tremblay
Phys. Rev. B 96, 235135 – Published 21 December 2017

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.

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  • Received 3 October 2017
  • Revised 11 December 2017

DOI:https://doi.org/10.1103/PhysRevB.96.235135

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

S. Acheche1, L.-F. Arsenault1, and A.-M. S. Tremblay1,2

  • 1Département de physique, Institut quantique, and Regroupement québécois sur les matériaux de pointe, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
  • 2Canadian Institute for Advanced Research, Toronto, Ontario, Canada M5G 1Z8

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Issue

Vol. 96, Iss. 23 — 15 December 2017

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