Nonlinear optical effects in inversion-symmetry-breaking superconductors

Tianrui Xu; Takahiro Morimoto; Joel E. Moore

doi:10.1103/PhysRevB.100.220501

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Nonlinear optical effects in inversion-symmetry-breaking superconductors

Tianrui Xu, Takahiro Morimoto, Joel E. Moore

DOI 10.1103/PhysRevB.100.220501 · Physical Review B

T1

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Abstract

We study nonlinear optical responses in superconducting systems with inversion- (I) symmetry-breaking order parameters. We first show that any superconducting system with I and time-reversal (T) symmetries requires an I-breaking order parameter to support optical transitions between particle-hole pair bands. We then use a one-dimensional (1D) toy model of an I-breaking superconductor to numerically calculate linear and nonlinear conductivities, including shift current and second-harmonic generation (SHG) responses. We find that the magnitude of the signal is significantly larger in shift current/SHG response than in the linear response due to the matrix element effect. We also present various scaling behaviors of the SHG signal, which may be relevant to the recent experimental observation of SHG in cuprates [L. Zhao, C. A. Belvin, R. Liang, D. A. Bonn, W. N. Hardy, N. P. Armitage, and D. Hsieh, Nat. Phys. 13, 250 (2016)]. Finally, we confirm the generality of our observations regarding nonlinear responses of I-breaking superconductors, by analyzing other models including a 1D three-band model and 2D square lattice model.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
YBa2Cu3O7-δ Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown