We construct purely electronic chirality (pEC) in achiral systems i.e., in the absence of structural chirality. In condensed matter physics and chemistry, chirality has conventionally been understood as a mirror-image asymmetry in crystal or molecular structures [1]. We demonstrate that simple electric quadrupole orders exhibit chirality-related properties without atomic displacement [2]. We point out that their chirality handedness can be controlled by magnetic fields, opening a simple way to manipulate the chirality domain. As a representative example, we analyze a model featuring 120-degree antiferro quadrupole orders on a distorted kagome system, predicting various chirality-related responses in the nonmagnetic ordered phase of URhSn [3]. We also briefly discuss that chiral phonons can emerge in achiral crystals through coupling with the pEC order. Our results provide a distinct origin of chirality and a fundamental basis for exploring the interplay between electronic and structural chirality.

Refs.
[1] L. D. Barron, Chirality 24, 879 (2012).
[2] T. Ishitobi and K. Hattori, arXiv:2502.13977.
[3] Y. Shimizu et al., Phys. Rev. B, 102, 134411 (2020).