Probing of valley polarization in graphene via optical second-harmonic generation
T. O. Wehling, A. Huber, A. I. Lichtenstein, and M. I. Katsnelson

TL;DR
This paper develops a theoretical framework for using optical second-harmonic generation as a sensitive method to detect valley polarization in graphene, which is crucial for advancing ultrafast valleytronics applications.
Contribution
It provides a comprehensive single-particle theory linking valley polarization to second-harmonic generation in graphene, enabling new experimental detection methods.
Findings
Valley polarization induces measurable second-harmonic signals.
The theory suggests optical SHG as a sensitive probe for valley polarization.
Potential applications in ultrafast valleytronics development.
Abstract
Valley polarization in graphene breaks inversion symmetry and therefore leads to second-harmonic generation. We present a complete theory of this effect within a single-particle approximation. It is shown that this may be a sensitive tool to measure the valley polarization created, e.g., by polarized light and, thus, can be used for a development of ultrafast valleytronics in graphene.
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