Finite-momentum superconductivity in two-dimensional altermagnets with a Rashba-type spin-orbit coupling

Abstract

We theoretically study finite-momentum superconductivity in two-dimensional (2D) altermagnets with a Rashba-type spin-orbit coupling (RSOC). We show the phase diagrams obtained by solving a linearized gap equation, considering two directions of the Néel vector of the 2D altermagnet: parallel to the $xy$ plane (in-plane) and perpendicular to the $xy$ plane (out-of-plane). For the in-plane Néel vector, we find two different finite-momentum $d_{x^2-y^2}$-wave superconducting states distinguished by a dominant pairing channel: an inter-band pairing or an intra-band pairing. Furthermore, it is shown that an anisotropic deformation of Fermi surfaces caused by spin-splitting effects due to the in-plane Néel vector and the RSOC can contribute to the stabilization of the finite-momentum superconductivity. We also perform the self-consistent calculations, and verify the existence of these superconducting states in addition to identifying other possible superconducting states and transition lines away from the phase boundary. For the out-of-plane Néel vector, the finite-momentum superconductivity is realized only in the inter-band pairing mechanism, which is in contrast to the in-plane case.

References in corpus (34)

• Theory of Intertwined Orders in High Temperature Superconductors
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Supercurrent diode effect and finite momentum superconductivity
• Antiferromagnetism in RuO${}_2$ as $d$-wave Pomeranchuk instability
• A phenomenological theory of superconductor diodes
• Review of U-based Ferromagnetic Superconductors: Comparison between UGe2, URhGe, and UCoGe
• Theory of the supercurrent diode effect in Rashba superconductors with arbitrary disorder
• Topological Superconductivity in Two-Dimensional Altermagnetic Metals
• Finite-momentum Cooper pairing in proximitized altermagnets
• Landau Theory of Altermagnetism
• Theory of 2D superconductor with broken inversion symmetry
• Altermagnetic Routes to Majorana Modes in Zero Net Magnetization
• Two-dimensional altermagnets: Superconductivity in a minimal microscopic model
• Topological transition from nodal to nodeless Zeeman splitting in altermagnets
• Perovskite as a spin current generator
• Altermagnetic superconducting diode effect
• Anomalous Hall effect in $\kappa$-type organic antiferromagnets
• Majorana corner modes and tunable patterns in an altermagnet heterostructure
• Phase Diagram and Spectroscopy of FFLO states of two-dimensional d-wave superconductors
• Superconducting diode effect and nonreciprocal transition lines
• Pair-Density-Wave Superconducting States and Electronic Liquid Crystal Phases
• Superconductor-altermagnet memory functionality without stray fields
• Tunable band topology and optical conductivity in altermagnets
• Fulde-Ferrell-Larkin-Ovchinnikov state induced by antiferromagnetic order in $\kappa$-type organic conductors
• Enhanced Superconducting Diode Effect due to coexisting Phases
• Unconventional p-wave and finite-momentum superconductivity induced by altermagnetism through the formation of Bogoliubov Fermi surface
• Altermagnetism and superconductivity in a multiorbital t-J model
• Upper critical field in noncentrosymmetric superconductors
• Classification of pair symmetries in superconductors with unconventional magnetism
• Unconventional superconductivity in altermagnets with spin-orbit coupling
• Supercurrent Diode Effect in Helical Superconductors
• Intrinsic nonlinear conductivity induced by quantum geometry in altermagnets and measurement of the in-plane Néel vector
• Orbital effect on intrinsic superconducting diode effect
• Stripe order and diode effect in two-dimensional Rashba superconductors

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• Efficiency of the superconducting diode effect of pair-density-wave states in two-dimensional $d$-wave altermagnets
• Altermagnetism-driven FFLO superconductivity in finite-filling 2D lattices
• Josephson diode and spin-valve effects on the surface of altermagnet CrSb
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