Detection of quantum geometric tensor by nonlinear optical response

Abstract

Quantum geometric tensor (QGT), including a symmetric real part defined as quantum metric and an antisymmetric part defined as Berry curvature, is essential for understanding many phenomena. We studied the photogalvanic effect of a multiple-band system with time-reversal-invariant symmetry by theoretical analysis in this work. We concluded that the integral of gradient of the symmetric part of QGT in momentum space is related to the linearly photogalvanic effect, while the integral of gradient of Berry curvature is related to the circularly photogalvanic effect. Our work afforded an alternative interpretation for the photogalvanic effect in the view of QGT, and a simple approach to detect the QGT by nonlinear optical response.

Comments are welcome

References in corpus (7)

• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Giant topological longitudinal circular photo-galvanic effect in the chiral multifold semimetal CoSi
• Abelian and Non-Abelian Quantum Geometric Tensor
• Photogalvanic effect in Weyl semimetals
• Linear and nonlinear optical responses in the chiral multifold semimetal RhSi
• Linear and nonlinear optical response of crystals using length and velocity gauges: Effect of basis truncation
• Resonant photovoltaic effect in doped magnetic semiconductors

Cited by in corpus (4)

• Cavity Quantum Materials
• Pair density wave facilitated by Bloch quantum geometry in nearly flat band multiorbital superconductors
• Quantum geometric tensor and the topological characterization of the extended Su-Schrieffer-Heeger model
• Quantum-geometry-induced intrinsic optical anomaly in multiorbital superconductors