Altermagnetism and superconductivity in a multiorbital t-J model

Abstract

Motivated by exploring doped multi-orbital antiferromagnets (AFMs) and altermagnets (ALMs) we explore minimal $t$-$J$ models on the square-octagon lattice which favor such collinear magnetic orders in the regime where spin exchange dominates. While the AFM order breaks translational and time-reversal symmetries, the ALM state (equivalently, a `$d$-wave ferromagnet') features multipolar order which separately breaks time-reversal and crystal rotation symmetries but preserves their product leading to spin-split bands with zero net magnetization. We study the mean field phase diagram of these models as we vary doping and interactions, discovering regimes of weak and strong ALM order, superconductivity including uniform $s$-wave and $d$-wave pairing states, incipient $d$-wave pair density wave order, and phases with coexisting singlet-triplet pairing and AFM/ALM orders which appear unstable to phase separation and could host stripe order with longer-range interactions. We study the mean field phase diagram of these multiorbital models as we vary doping and interactions, discovering two types of ALM order: (i) itinerant weak-coupling ALM metals driven by quasi-1D van Hove singularities, as well as (ii) strong ALM order at half-filling. We also find regimes of superconductivity including uniform $s$-wave and $d$-wave pairing states, incipient $d_{xy}$-wave pair density wave order, and uniform phases with coexisting singlet-triplet pairing and ALM order. Our inhomogeneous mean field theory approach reveals that the coexistence phases are unstable to phase separation, but longer-range interactions could lead to stripe order. Our results may be relevant to doping or pressure studies of multiorbital ALM materials.

14 pages, 13 figures

References in corpus (64)

• Correlated Electrons in High Temperature Superconductors
• Antiferromagnetic spintronics
• How to detect fluctuating order in the high-temperature superconductors
• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Antiferromagnetic order and spin dynamics in iron-based superconductors
• Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
• Strong Correlations and Magnetic Frustration in the High Tc Iron Pnictides
• Competing Orders and Spin-Density-Wave Instability in La(O${}_{1-x}$F${}_x$)FeAs
• Non Fermi-Liquid States and Pairing of a general Model of Copper-Oxide Metals
• Efficient Electrical Spin-Splitter Based on Non-Relativistic Collinear Antiferromagnetism
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• Momentum-Dependent Spin Splitting by Collinear Antiferromagnetic Ordering
• The Hubbard Model
• TRIQS: A Toolbox for Research on Interacting Quantum Systems
• High Temperature Superconductivity in Iron Pnictides and Chalcogenides
• The Physics of Pair Density Waves
• Direct observation of altermagnetic band splitting in CrSb thin films
• Orbital-driven nematicity in FeSe
• Effect of magnetic frustration on nematicity and superconductivity in Fe chalcogenides
• Observation of Giant Band Splitting in Altermagnetic MnTe
• Strong Interplay between Stripe Spin Fluctuations, Nematicity and Superconductivity in FeSe
• Robust $d_{x^2-y^2}$-wave superconductivity of infinite-layer nickelates
• dc Josephson Effect in Altermagnets
• Model construction and a possibility of cuprate-like pairing in a new d9 nickelate superconductor (Nd,Sr)NiO2
• Topological Superconductivity in Two-Dimensional Altermagnetic Metals
• Finite-momentum Cooper pairing in proximitized altermagnets
• Landau Theory of Altermagnetism
• Nickelate superconductors $--$ Multiorbital nature and spin freezing
• Altermagnetic Routes to Majorana Modes in Zero Net Magnetization
• Magnetic octupoles as the order parameter for unconventional antiferromagnetism
• Two-dimensional altermagnets: Superconductivity in a minimal microscopic model
• Topological transition from nodal to nodeless Zeeman splitting in altermagnets
• Coherent vs incoherent pairing in 2D systems near magnetic instability
• Altermagnetic superconducting diode effect
• Microscopic theory of the nematic phase in Sr${}_3$Ru${}_2$O${}_7$
• Two-band model for magnetism and superconductivity in nickelates
• Orbital Selective Superconductivity in a Two-band Model of Infinite-Layer Nickelates
• Spontaneous Formation of Altermagnetism from Orbital Ordering
• Type II $t-J$ model in superconducting nickelate Nd${}_{1-x}$Sr${}_x$NiO${}_2$
• Distinct pairing symmetries of superconductivity in infinite-layer nickelates
• Anisotropy of the anomalous Hall effect in the altermagnet candidate Mn${}_5$Si${}_3$ films
• Quantum Spin Hall Effect in 2D Transition Metal Dichalcogenide Haeckelites
• Realizing Altermagnetism in Fermi-Hubbard Models with Ultracold Atoms
• Pair-Density-Wave Superconducting States and Electronic Liquid Crystal Phases
• Mean field theory of competing orders in metals with antiferromagnetic exchange interactions
• Flat band superconductivity in the square-octagon lattice
• Two-dimensional octagon-structure monolayer of nitrogen group elements and the related nano-structures
• Development of a two-particle self-consistent method for multi-orbital systems and its application to unconventional superconductors
• Pair density wave order from electron repulsion
• Quasiclassical theory of superconducting spin-splitter effects and spin-filtering via altermagnets
• Dynamic paramagnon-polarons in altermagnets
• Many-body effects on superconductivity mediated by double-magnon processes in altermagnets
• Single-orbital realization of high-temperature $s^{\pm }$ superconductivity in the square-octagon lattice
• Orbital structure of the effective pairing interaction in the high-temperature superconducting cuprates
• Microscopic mechanism for fluctuating pair density wave
• Superconductivity in Correlated Multi-Orbital Systems with Spin-Orbit Coupling: Coexistence of Even- and Odd-Frequency Pairing and the Case of Strontium Ruthenate
• Nematic and spin-charge orders driven by hole-doping a charge-transfer insulator
• Distinct spin and orbital dynamics in Sr${}_2$RuO${}_4$
• Multiband mean-field theory of the $d+ig$ superconductivity scenario in Sr${}_2$RuO${}_4$
• Unified description of cuprate superconductors using four-band $d$-$p$ model
• Finite Momentum Pairing Instability of Band-Insulators With Multiple Bands
• Detecting topological phases in the square-octagon lattice with statistical methods
• Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr${}_2$RuO${}_4$

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• Odd-parity altermagnetism through sublattice currents: From Haldane-Hubbard model to general bipartite lattices
• Spin-dependent quasiparticle lifetimes in altermagnets
• Inherent momentum-dependent gap structure of altermagnetic superconductors
• Quantum critical scaling of altermagnetism
• Quantum fluctuations in two-dimensional altermagnets
• Van-Hove singularities and competing instabilities in an altermagnetic metal
• Spontaneous emergence of altermagnetism in the single-orbital extended Hubbard model
• Spin triplet pairing by suppressing altermagnetism
• Electric field controlled second-order anomalous Hall effect in altermagnets
• Superconducting States and Intertwined Orders in Metallic Altermagnets