Title: Theory of tunneling spectroscopy in $p$-wave altermagnet-superconductor hybrid structures

Abstract: We theoretically study the tunneling conductance of a junction consisting of a two-dimensional $p$-wave altermagnet (AM) and a superconductor (SC) for various pairing states. The zero bias conductance peaks arising from the dispersionless surface Andreev bound states (SABSs) in $d_{xy}$-wave and $p_{x}$-wave superconductor junctions are robust against varying the altermagnetic spin-splitting strength $\alpha _{y}$. Moreover, for chiral $p$- or chiral $d$-wave SCs, zero bias conductance shows a non-monotonic behavior as a function of $\alpha_{y}$ indicating the existence of the dispersive SABSs. Our obtained results of tunneling spectroscopy based on a $p$-wave AM serve as an effective way for the identification of the pairing states of unconventional superconductors. It is noted that our used Hamiltonian of AM is also available for persistent spin helix systems.