Spin and pair density waves in 2D altermagnetic metals

Abstract

Altermagnetism, a recently proposed and experimentally confirmed class of magnetic order, features collinear compensated magnetism with unconventional d-, g-, or i-wave spin order. Here, we show that in a metallic 2D d-wave altermagnet with combined two-fold spin and four-fold lattice rotational symmetry $[C_2||C_4]$, secondary instabilities can arise. Using an unbiased functional renormalization group approach, we analyze the weak-coupling instabilities of a 2D Hubbard model with a preexisting altermagnetic order inspired by our ab initio electronic structure calculations of realistic material candidates from V${}_2$X${}_2$O (X = Te, Se) family. We identify two distinct spin density wave (SDW) states that break the underlying altermagnetic $[C_2||C_4]$ symmetry. Additionally, we find spin-fluctuation-induced instabilities leading to a singlet d-wave superconducting state and an unconventional commensurate pair density wave (PDW) state with extended s-wave and spin-triplet symmetry. We establish a general criterion for the unusual exchange statistics for these pair density waves and characterize their excitation spectrum, which exhibits Bogoliubov Fermi surfaces or nodal points depending on the gap size.

11+9 pages, 4+6 figures

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Cited by in corpus (7)

• Light-induced odd-parity altermagnets on dimerized lattices
• Inherent momentum-dependent gap structure of altermagnetic superconductors
• Altermagnetism and its induced higher-order topology on the Lieb lattice
• The role of the exchange-Coulomb potential in two-dimensional electron transport
• Van-Hove singularities and competing instabilities in an altermagnetic metal
• Superconducting States and Intertwined Orders in Metallic Altermagnets
• Spontaneous emergence of altermagnetism in the single-orbital extended Hubbard model