Spontaneous emergence of altermagnetism in the single-orbital extended Hubbard model

Abstract

Altermagnetism (AM), the recently discovered third class of collinear magnetic order, is characterized by non-relativistic momentum-dependent spin-split electronic structure with compensated zero net magnetization. It can arise from the conventional antiferromagnetism by introducing local anisotropy on the two opposite-spin sublattices, either through structural changes in local crystallographic symmetry or spontaneous emergence of local staggered orbital order from electron correlations in multi-orbital systems. Here, we demonstrate on the two-dimensional square lattice that a $d$-wave AM can emerge spontaneously in the single-orbital extended Hubbard model, without invoking crystallographic anisotropy and multi-orbital physics. We carry out mean-field studies on the concrete single-orbital $t$-$U$-$V$ model with $U$ and $V$ the onsite and nearest-neighbor Coulomb interactions, obtaining the mean-field ground states, analyzing their properties, and determining the phase diagram in the $U$-$V$ plane. The $d$-wave AM with novel spin-transport behavior is found to be stabilized in a wide region of the phase diagram when the system is doped away from half-filling, actualized by the coexistence of onsite antiferromagnetic order and complex $d$-wave nearest-neighbor spin bond orders. Our findings provide an alternative route to achieve AM and substantially expand the range of candidate AM materials.

7 pages, 3 figures

References in corpus (59)

• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Topological Mott Insulators
• Observation of the Anomalous Hall Effect in a Collinear Antiferromagnet
• Efficient Electrical Spin-Splitter Based on Non-Relativistic Collinear Antiferromagnetism
• Broken Kramers' degeneracy in altermagnetic MnTe
• Giant and tunneling magnetoresistance effects from anisotropic and valley-dependent spin-momentum interactions in antiferromagnets
• Altermagnetism: Exploring New Frontiers in Magnetism and Spintronics
• Direct observation of altermagnetic band splitting in CrSb thin films
• Prediction of unconventional magnetism in doped FeSb2
• Chiral flux phase in the Kagome superconductor AV${}_3$Sb${}_5$
• Observation of Giant Band Splitting in Altermagnetic MnTe
• Observation of plaid-like spin splitting in a noncoplanar antiferromagnet
• Crystal Thermal Transport in Altermagnetic RuO2
• Spin-group symmetry in magnetic materials with negligible spin-orbit coupling
• Fermi liquid instabilities in the spin channel
• Discovery of a metallic room-temperature d-wave altermagnet KV2Se2O
• Antiferroelectric Altermagnets: Antiferroelectricity Alters Magnets
• Enumeration and representation theory of spin space groups
• Ferroelectric switchable altermagnetism
• Three-dimensional mapping of the altermagnetic spin splitting in CrSb
• Magnetic octupoles as the order parameter for unconventional antiferromagnetism
• Two-dimensional altermagnets: Superconductivity in a minimal microscopic model
• Crystal-symmetry-paired spin-valley locking in a layered room-temperature antiferromagnet
• Spin Space Groups: Full Classification and Applications
• Topological transition from nodal to nodeless Zeeman splitting in altermagnets
• Spin-split collinear antiferromagnets: a large-scale ab-initio study
• Enumeration of spin-space groups: Towards a complete description of symmetries of magnetic orders
• Coexistence of superconductivity with partially filled stripes in the Hubbard model
• Chern Fermi pocket, topological pair density wave, and charge-4e and charge-6e superconductivity in kagome superconductors
• Minimal Models for Altermagnetism
• Mirror Chern Bands and Weyl Nodal Loops in Altermagnets
• Observation of Spin Splitting in Room-Temperature Metallic Antiferromagnet CrSb
• Spontaneous Formation of Altermagnetism from Orbital Ordering
• Description of two-dimensional altermagnetism: Categorization using spin group theory
• Stripes and spin-density waves in the doped two-dimensional Hubbard model: ground state phase diagram
• Realizing Altermagnetism in Fermi-Hubbard Models with Ultracold Atoms
• Weak-Coupling Theory of Neutron Scattering as a Probe of Altermagnetism
• Loop-current charge density wave driven by long-range Coulomb repulsion on the kagome lattice
• Altermagnetism in the layered intercalated transition metal dichalcogenide CoNb${}_4$Se${}_8$
• Altermagnetism and superconductivity in a multiorbital t-J model
• Notes on altermagnetism and superconductivity
• Altermagnetism from interaction-driven itinerant magnetism
• Catalogue of $C$-paired spin-momentum locking in antiferromagnetic systems
• Altermagnetism on the Shastry-Sutherland lattice
• Elasto-Hall conductivity and the anomalous Hall effect in altermagnets
• Altermagnetic phase transition in a Lieb metal
• Design of altermagnetic models from spin clusters
• Spontaneous Crystal Thermal Hall Effect in Insulating Altermagnets
• Spectral properties of 1D extended Hubbard model from bosonization and time-dependent variational principle: applications to 1D cuprate
• Pushing an Altermagnet to the Ultimate 2D Limit: Evidence of Symmetry Breaking in Monolayers of GdAlSi
• Adatom engineering magnetic order in superconductors: Applications to altermagnetic superconductivity
• Exploring the role of nonlocal Coulomb interactions in perovskite transition metal oxides
• Multiferroic nematic d-wave altermagnetism driven by orbital-order on the honeycomb lattice
• Mott insulators in moiré transition metal dichalcogenides at fractional fillings: Slave-rotor mean-field theory
• Spin and pair density waves in 2D altermagnetic metals
• Altermagnetism from coincident Van Hove singularities: application to $\kappa$-Cl
• Exploring d-Wave Magnetism in Cuprates from Oxygen Moments
• Exploring High-Temperature Superconductivity in the Extended Hubbard Model with Antiferromagnetic Tendencies
• Microscopic model realization of $\mathbf{d}$-wave pseudospin current order in Sr${}_2$IrO${}_4$