# Local suppression and enhancement of pairing condensate under rotation

## TL;DR

This paper develops a self-consistent framework using relativistic BdG equations to study how rotation causes local suppression and enhancement of fermionic pairing condensates, impacting phase structures across physics.

## Contribution

It introduces a generic, iterative method to analyze inhomogeneous condensates under rotation, with numerical studies revealing new local effects.

## Key findings

- Identification of local rotational suppression of condensates
- Discovery of centrifugal enhancement effects
- Implications for phase structures in various physical systems

## Abstract

The rotation induced inhomogeneous problem is non-trivial and inevitable. In this paper a generic framework is developed to investigate the inhomogeneous condensate in a system of fermions under the presence of rotation. It is a self-consistent method basing on a set of relativistic BdG equations solved with typical iteration algorithm. Taking the chiral condensate for example we study rotational effects numerically and discover two inhomogeneous effects, the local rotational suppression effect and centrifugal effect. They may have significant impacts on the phase structure of various kinds of matter. Several systems in different physics branches have been discussed in the paper.