Superconductivity of Quasi-One-Dimensional Electrons in Strong Magnetic Field

TL;DR

This paper investigates how strong magnetic fields influence superconductivity in quasi-one-dimensional electron systems, revealing oscillations in transition temperature for spin-triplet pairing and monotonic increases for spin-singlet pairing.

Contribution

It provides a theoretical analysis of magnetic field effects on superconductivity in quasi-one-dimensional systems, highlighting the oscillatory behavior of transition temperatures.

Findings

Transition temperature oscillates for spin-triplet superconductivity.

Transition temperature increases monotonically for spin-singlet superconductivity.

Magnetic field dependence affects the effective electron interactions.

Abstract

The superconductivity of quasi-one-dimensional electrons in the magnetic field is studied. The system is described as the one-dimensional electrons with no frustration due to the magnetic field. The interaction is assumed to be attractive between electrons in the nearest chains, which corresponds to the lines of nodes of the energy gap in the absence of the magnetic field. The effective interaction depends on the magnetic field and the transverse momentum. As the magnetic field becomes strong, the transition temperature of the spin-triplet superconductivity oscillates, while that of the spin-singlet increases monotonically.