On the Definition of Chirality and Enantioselective Fields

Abstract

AbstractIn solid state physics, any symmetry breaking is known to be associated with emergence of an order parameter. However, the order parameter for molecular and crystal chirality, which is a consequence of parity and mirror symmetry breaking, has not been known since its discovery. In this article, the authors show that the order parameter for chirality can be defined by electric toroidal monopole . By this definition, one becomes able to discuss external field that can distinguish two different enantiomers only by physical fields. In addition, dynamics and fluctuations of the order parameter can be discussed, with which one can obtain fruitful insights on a spin filtering effect called CISS (Chirality Induced Spin Selectivity). Emergence of time‐reversal‐odd dipole by time propagation of quantities is discussed to explain the enantioselective effect (chiral resolution) at a ferromagnetic surface.