Second harmonic generation as a probe of broken mirror symmetry
Bryan T. Fichera, Anshul Kogar, Linda Ye, Bilal G\"okce, Alfred Zong,, Joseph G. Checkelsky, and Nuh Gedik

TL;DR
This paper demonstrates that rotational-anisotropy second harmonic generation (RA-SHG) is a highly sensitive and versatile technique for detecting and differentiating broken mirror symmetry in crystalline materials, with broad applicability.
Contribution
It introduces RA-SHG as a method to detect and distinguish broken mirror symmetry and applies it to 1T-TaS2, revealing bulk symmetry breaking in its charge density wave phase.
Findings
RA-SHG detects broken mirror symmetry in 1T-TaS2.
RA-SHG differentiates between opposite chiral mirror symmetry-broken structures.
Evidence of bulk mirror symmetry-breaking in the incommensurate phase of 1T-TaS2.
Abstract
The notion of spontaneous symmetry breaking has been used to describe phase transitions in a variety of physical systems. In crystalline solids, the breaking of certain symmetries, such as mirror symmetry, is difficult to detect unambiguously. Using 1-TaS, we demonstrate here that rotational-anisotropy second harmonic generation (RA-SHG) is not only a sensitive technique for the detection of broken mirror symmetry, but also that it can differentiate between mirror symmetry-broken structures of opposite planar chirality. We also show that our analysis is applicable to a wide class of different materials with mirror symmetry-breaking transitions. Lastly, we find evidence for bulk mirror symmetry-breaking in the incommensurate charge density wave phase of 1-TaS. Our results pave the way for RA-SHG to probe candidate materials where broken mirror symmetry may play a pivotal…
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