# Spectroscopic signatures of different symmetries of the superconducting order parameter in metal-decorated graphene

## TL;DR

This paper explores the spectroscopic signatures of various superconducting order parameter symmetries in metal-decorated graphene, revealing that p+ip pairing produces the largest gap and proposing a method to distinguish pairing types via tunneling spectroscopy.

## Contribution

It introduces a detailed analysis of different pairing symmetries in metal-decorated graphene and suggests experimental ways to identify the nature of the superconducting state.

## Key findings

- p+ip pairing yields the largest superconducting gap
- Order parameter symmetry depends on atomic orbital involvement
- Method proposed to distinguish singlet and triplet superconductivity

## Abstract

Motivated by the recent experiments indicating superconductivity in metal-decorated graphene sheets, we investigate their quasi-particle structure within the framework of an effective tight-binding Hamiltonian augmented by appropriate BCS-like pairing terms for p-type order parameter. The normal state band structure of graphene is modified not only through interaction with adsorbed metal atoms, but also due to the folding of bands at Brillouin zone boundaries resulting from a $\sqrt{3}\times\sqrt{3}R30^{\circ}$ reconstruction. Several different types of pairing symmetries are analyzed utilizing Nambu-Gorkov Green's function techniques to show that $p+ip$-symmetric nearest-neighbor pairing yields the most enhanced superconducting gap. The character of the order parameter depends on the nature of the atomic orbitals involved in the pairing process and exhibits interesting angular and radial asymmetries. Finally, we suggest a method to distinguish between singlet and triplet type superconductivity in the presence of magnetic substitutional impurities using scanning tunneling spectroscopy.