Chiral Pairing in Topological Surface States and Fermi Arc States

Abstract

We explore a chiral superconducting pairing mechanism mediated by surface Fermi arc states in Weyl semimetals. These states, protected by the topology of bulk Weyl nodes, exhibit spin-momentum locking and strong spin-orbit coupling, enabling the formation of unconventional [[EQUATION]]p-wave surface superconductivity. We show that chiral order parameters can emerge naturally from this framework, with possible stabilisation of higher-order multiplet condensates, such as quartets and sextets, at lower temperatures. This “extraconductivity” regime is characterised by multiple superconducting transitions and may be experimentally observable via specific heat anomalies and spectroscopic signatures. Our findings provide new theoretical insight into topological superconductivity on the surfaces of Weyl materials and suggest a route toward realising multi-particle condensates and Majorana modes in low-dimensional systems.

Keywords: Weyl FermionChiral superconductivityTopological surface statesMultiplet pairing