Zero-bias conductance peak split in d-wave superconductors: Derivation of the universal magnetic field dependence

TL;DR

This paper analytically derives the universal magnetic field dependence of the zero-bias conductance peak splitting in d-wave superconductors, explaining experimental observations without invoking additional order parameters.

Contribution

The work provides an analytical derivation of the universal magnetic field dependence of the conductance peak splitting, emphasizing long-range vortex current effects.

Findings

Derivation of the delta ~ B0^(1/2) relation

Agreement with experimental data

Hysteresis effects explained

Abstract

The zero-bias conductance peak in d-wave superconductors splits in an applied magnetic field. In this work, the experimentally observed universal relation delta ~ B0^(1/2) for strip-shaped samples is derived analytically based on the long-ranged current contributions from Abrikosov vortices inside the sample. The result is in full agreement with observed key properties, and features such as hysteresis effects are made accessible. Employing a magnetically induced additional order parameter is not necessary for the physical explanation of the universal relation.