Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals

By T. Morimoto, Shudan Zhong, J. Orenstein, J. Moore. 2016

144 citations recorded by the source corpus.

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 Berry curvature and orbital magnetic moment. Applied to Weyl fermions, the semiclassical approach (i) captures the directional anisotropy of linear conductivity under magnetic field as a consequence of an anisotropic $B^2$ contribution, which may explain the low-field regime of recent experiments; (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.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/0fa9011fd14dd521927e6cea0b46c27fc1fe982a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Direct optical detection of Weyl fermion chirality in a topological semimetal (2017, background): “Apart from the present study and the proposed anomaly related physics [13, 18, 23–26], the nontrivial Berry curvatures in WSMs can also lead to various novel optical phenomena such as photocurrents [19–21], Hall voltages [22], Kerr rotations [20], and second harmonic generations [20, 21].”
Weyl and Dirac semimetals in three-dimensional solids (2017, background): “It has been predicted (Morimoto et al., 2016; Wu et al., 2016) that transitions that arise near Weyl nodes between bands with nearly linear dispersion should give a near universal prediction in the low ω limit for the non-linear susceptibility as χ(2) = g(ω) < v2R > 2iω3 0 (45) With the density of…”
Topological Semimetals from First Principles (2018, background): “The breaking of P symmetry in nonmagnetic Weyl semimetals suggests that they may have interesting nonlinear optical properties, such as second harmonic generation and shift current, and these nonlinear optical responses have recently attracted much recent attention (106, 107, 108, 109, 110, 111).”
Light control with Weyl semimetals (2022, background): “only been investigated recently [153, 154, 155, 156, 157, 11, 158, 159, 160, 161]; a”