Realizing Altermagnetism in Fermi-Hubbard Models with Ultracold Atoms

Abstract

Altermagnetism represents a type of collinear magnetism, that is in some aspects distinct from ferromagnetism and from conventional antiferromagnetism. In contrast to the latter, sublattices of opposite spin are related by spatial rotations and not only by translations and inversions. As a result, altermagnets have spin-split bands leading to unique experimental signatures. Here, we show theoretically how a d-wave altermagnetic phase can be realized with ultracold fermionic atoms in optical lattices. We propose an altermagnetic Hubbard model with anisotropic next-nearest neighbor hopping and obtain the Hartree-Fock phase diagram. The altermagnetic phase separates in a metallic and an insulating phase and is robust over a large parameter regime. We show that one of the defining characteristics of altermagnetism, the anisotropic spin transport, can be probed with trap-expansion experiments.

5+4 pages, 4+3 figures, published version

References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Broken Kramers' degeneracy in altermagnetic MnTe
• Giant and tunneling magnetoresistance effects from anisotropic and valley-dependent spin-momentum interactions in antiferromagnets
• Direct observation of altermagnetic band splitting in CrSb thin films
• Prediction of unconventional magnetism in doped FeSb2
• Antiferromagnetism in RuO${}_2$ as $d$-wave Pomeranchuk instability
• Crystal Thermal Transport in Altermagnetic RuO2
• Fermi liquid instabilities in the spin channel
• Weak-Coupling Theory of Neutron Scattering as a Probe of Altermagnetism
• Preparing and Analyzing Solitons in the sine-Gordon Model with Quantum Gas Microscopes

Cited by in corpus (44)

• Altermagnetic superconducting diode effect
• Altermagnetic anomalous Hall effect emerging from electronic correlations
• Altermagnetism and superconductivity in a multiorbital t-J model
• Coulomb Drag in Altermagnets
• Altermagnetism from interaction-driven itinerant magnetism
• Electrical switching of altermagnetism
• Altermagnetism on the Shastry-Sutherland lattice
• Altermagnetic phase transition in a Lieb metal
• Design of altermagnetic models from spin clusters
• Pair Density Waves and Supercurrent Diode Effect in Altermagnets
• Fragile Unconventional Magnetism in RuO${}_2$ by Proximity to Landau-Pomeranchuk Instability
• Crystal Symmetry Selected Pure Spin Photocurrent in Altermagnetic Insulators
• Adatom engineering magnetic order in superconductors: Applications to altermagnetic superconductivity
• Spin and pair density waves in 2D altermagnetic metals
• Field-sensitive dislocation bound states in two-dimensional $d$-wave altermagnets
• Unconventional superconductivity of an altermagnetic metal: Polarized BCS and inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov states
• Fractionalized Altermagnets: from neighboring and altermagnetic spin-liquids to spin-symmetric band splitting
• Altermagnetism in Heavy Fermion Systems: Mean-Field study on Kondo Lattice
• SU($N$) altermagnetism: Lattice models, magnon modes, and flavor-split bands
• Giant spatial anisotropy of magnon lifetime in altermagnets
• Spin-Selective Second-Order Topological Insulators Enabling Cornertronics in 2D Altermagnets
• Quantum Lifshitz points in an altermagnetic metal
• Energy Dispersion, Superconductivity and Magnetic Fluctuations in Stacked Altermagnetism Materials
• Spin-Polarized Josephson Supercurrent in Nodeless Altermagnets
• Quantum critical scaling of altermagnetism
• Altermagnetism and its induced higher-order topology on the Lieb lattice
• The odd-parity altermagnetism: A spin group study
• Odd-parity altermagnetism through sublattice currents: From Haldane-Hubbard model to general bipartite lattices
• $d$-Wave Polarization-Spin Locking in Two-Dimensional Altermagnets
• Projectively implemented altermagnetism in an exactly solvable quantum spin liquid
• Marginal Metals and Kosterlitz-Thouless Type Phase Transition in Disordered Altermagnets
• Quantum fluctuations in two-dimensional altermagnets
• Altermagnetism and Anomalous Transport in Ag${}^{2+}$ Fluorides: KAgF${}_3$ and K${}_2$AgF${}_4$
• Spin-biased quantum spin Hall effect in altermagnetic Lieb lattice
• Van-Hove singularities and competing instabilities in an altermagnetic metal
• Universal quasi-Fermi liquid physics of one-dimensional interacting fermions
• Quantum-impurity sensing of altermagnetic order
• Spin-Orbit Coupling-Driven Chirality Switching of Spin Waves in Altermagnets
• Superconducting States and Intertwined Orders in Metallic Altermagnets
• Theory of Angle Resolved Photoemission Spectroscopy of Altermagnetic Mott Insulators
• Update of Hartree--Fock theory for Hubbard-like models
• Spontaneous emergence of altermagnetism in the single-orbital extended Hubbard model
• Interaction enhanced altermagnet in the Hatsugai-Kohmoto model
• Competitive Orders in Altermagnetic Chiral Magnons