On the Low Surface Magnetic Field Structure of Quark Stars

TL;DR

This paper proposes a simple model explaining the low surface magnetic field of quark stars, attributing it to diamagnetic effects of electrons in the electro-sphere that dilute the magnetic flux.

Contribution

It introduces a novel explanation for quark stars' low magnetic fields based on diamagnetic electron effects and analyzes the stability of the superconducting interface.

Findings

Electron diamagnetism can significantly reduce magnetic flux in quark stars.

The model suggests a mechanism for magnetic flux dilution in quark star surfaces.

Superconducting interface stability depends on magnetic flux accumulation.

Abstract

Following some of the recent articles on hole super-conductivity and related phenomena by Hirsch \cite{H1,H2,H3}, a simple model is proposed to explain the observed low surface magnetic field of the expected quark stars. It is argued that the diamagnetic moments of the electrons circulating in the electro-sphere induce a magnetic field, which forces the existing quark star magnetic flux density to become dilute. We have also analysed the instability of normal-superconducting interface due to excess accumulation of magnetic flux lines, assuming an extremely slow growth of superconducting phase through a first order bubble nucleation type transition.