Two-dimensional altermagnets: Superconductivity in a minimal microscopic model

Abstract

We propose a minimal toy model for a two-dimensional altermagnet. The model unravels altermagnetic properties at a microscopic level. We find spin-split electron- and non-degenerate magnon bands with a $d$-wave symmetry. We use the model to explore magnon-mediated superconductivity in altermagnets. The dominant superconducting state is spin-polarized with a $p$-wave symmetry. The state adopts its characteristics from the spin-split electron bands. Furthermore, we find that the superconducting critical temperature of altermagnets can be significantly enhanced by tuning the chemical potential.

13 pages, 9 figures

References in corpus (3)

• Antiferromagnetism in RuO${}_2$ as $d$-wave Pomeranchuk instability
• Perovskite as a spin current generator
• Weakly spin-dependent band structures of antiferromagnetic perovskite LaMO${}_3$ (M = Cr, Mn, Fe)

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