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

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