Journal
PHYSICAL REVIEW B
Volume 94, Issue 24, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.94.245121
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Funding
- Gordon and Betty Moore Foundation's EPiQS Initiative Theory Center Grant [GBMF4537]
- NSF [DMR-1507141]
- DOE Quantum Materials program of Lawrence Berkeley National Laboratory
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1507141] Funding Source: National Science Foundation
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We study nonlinear magneto-optical responses of metals by a semiclassical Boltzmann equation approach. We derive general formulas for linear and second-order nonlinear optical effects in the presence of magnetic fields that include both the Berry curvature and the orbital magnetic moment. Applied to Weyl fermions, the semiclassical approach (i) captures the directional anisotropy of linear conductivity under a magnetic field as a consequence of an anisotropic B-2 contribution, which may explain the low-field regime of recent experiments; and (ii) predicts strong second harmonic generation proportional to B that is enhanced as the Fermi energy approaches the Weyl point, leading to large nonlinear Kerr rotation. Moreover, we show that the semiclassical formula for the circular photogalvanic effect arising from the Berry curvature dipole is reproduced by a full quantum calculation using a Floquet approach.
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