# Effect of random anisotropy on NMR frequency shift in the polar phase of the superfluid 3He

## TL;DR

This paper investigates how random anisotropy in nematic aerogel affects the NMR frequency shift in the polar phase of superfluid 3He, revealing that anisotropy-induced fluctuations reduce the order parameter and NMR shift.

## Contribution

It introduces a detailed analysis of how spatially non-uniform anisotropy impacts the order parameter and NMR frequency shift in superfluid 3He polar phase, including temperature dependence.

## Key findings

- Anisotropy fluctuations decrease the order parameter amplitude.
- Fluctuations lead to a reduction in the NMR frequency shift.
- Different contributions to the effect are quantitatively estimated.

## Abstract

The orbital anisotropy induced in the superfluid 3He by nematic aerogel is, generally speaking, spatially non-uniform. This anisotropy in its turn induces spatial fluctuations of the order parameter. It is shown here that for the polar phase these fluctuations decrease the overall amplitude of the order parameter and the value of the frequency shift of the transverse NMR. Different contributions to this effect are discussed and estimated. Their temperature dependencies are discssed as well.