Andreev Bound States at the Interface of Antiferromagnets and d-wave Superconductors

Abstract

We set up a simple transfer matrix formalism to study the existence of bound states at interfaces and in junctions between antiferromagnets and d-wave superconductors. The well-studied zero energy mode at the {110} interface between an insulator and a d-wave superconductor is spin split when the insulator is an antiferromagnet. This has as a consequence that any competing interface induced superconducting order parameter that breaks the time reversal symmetry needs to exceed a critical value before a charge current is induced along the interface.

4 pages, 3 figures

References in corpus (4)

• Antiferromagnetic Order Induced by an Applied Magnetic Field in a High-Temperature Superconductor
• Andreev bound states in high-$T_c$ superconducting junctions
• Quasiparticle States at a d-Wave Vortex Core in High-Tc Superconductors: Induction of Local Spin Density Wave Order
• Evidence for Static Magnetism in the Vortex Cores of Ortho-II YBa${}_2$Cu${}_3$O${}_{6.50}$

Cited by in corpus (4)

• Bound states at the interface between antiferromagnets and superconductors
• Spin-dependent quasiparticle reflection and bound states at interfaces with itinerant antiferromagnets
• Anomalous phase shift in a Josephson junction via an antiferromagnetic interlayer
• Spectral properties of Andreev crystals