Rotational Doppler Effect in Magnetic Resonance

TL;DR

This paper analyzes how rotation affects the frequency of spin resonance in solids, revealing that symmetry breaking is necessary for the rotational Doppler shift to occur, with implications for experimental detection.

Contribution

It provides the first detailed theoretical analysis of the rotational Doppler effect in magnetic resonance, emphasizing the role of symmetry breaking.

Findings

Rotation-induced frequency shift depends on symmetry breaking.

Derived general expressions for resonance frequency and power absorption.

Implications for experimental detection of the effect.

Abstract

We compute the shift in the frequency of the spin resonance in a solid that rotates in the field of a circularly polarized electromagnetic wave. Electron spin resonance, nuclear magnetic resonance, and ferromagnetic resonance are considered. We show that contrary to the case of the rotating LC circuit, the shift in the frequency of the spin resonance has strong dependence on the symmetry of the receiver. The shift due to rotation occurs only when rotational symmetry is broken by the anisotropy of the gyromagnetic tensor, by the shape of the body, or by magnetocrystalline anisotropy. General expressions for the resonance frequency and power absorption are derived and implications for experiment are discussed.