G-type Antiferromagnetic BiFeO${}_3$ is a Multiferroic $g$-wave Altermagnet

Abstract

G-type antiferromagnetic BiFeO${}_3$ is shown to be an altermagnet. We present the band structure using an unconventional scheme designed to highlight the distinctive spin splitting which is characteristic of altermagnets. We define and show plots of the spin-splitting function in reciprocal space. We show that the nodal surfaces of the spin-splitting function that follow from symmetry can be classified into two types, which we call symmetry-enforced and continuity-enforced. We describe the spin-splitting function with a simple parametrization in a basis of symmetry-adapted plane waves. Using group-theory analysis based on irreducible representations of the crystallographic Laue group, we confirm that the altermagnetism of G-type BiFeO${}_3$ is $g$-wave and present a complete classification table for the general three-dimensional case. Finally, we discuss the effect of ferroelectric switching on the altermagnetic order, and identify three classes of ferroelectric altermagnets.

References in corpus (32)

• Quantum ESPRESSO: a modular and open-source software project for quantum simulations of materials
• Advanced capabilities for materials modelling with Quantum ESPRESSO
• First-principles study of spontaneous polarization in multiferroic BiFeO${}_3$
• Weak ferromagnetism and magnetoelectric coupling in bismuth ferrite
• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Multifunctional Antiferromagnetic Materials with Giant Piezomagnetism and Noncollinear Spin Current
• Giant and tunneling magnetoresistance effects from anisotropic and valley-dependent spin-momentum interactions in antiferromagnets
• Prediction of unconventional magnetism in doped FeSb2
• Antiferromagnetism in RuO${}_2$ as $d$-wave Pomeranchuk instability
• Bottom-up design of spin-split and reshaped electronic band structures in spin-orbit-coupling free antiferromagnets: Procedure on the basis of augmented multipoles
• Magnetic Topological Quantum Chemistry
• Prediction of low-Z collinear and noncollinear antiferromagnetic compounds having momentum-dependent spin splitting even without spin-orbit coupling
• Spin-group symmetry in magnetic materials with negligible spin-orbit coupling
• dc Josephson Effect in Altermagnets
• Finite-momentum Cooper pairing in proximitized altermagnets
• Antiferroelectric Altermagnets: Antiferroelectricity Alters Magnets
• Enumeration and representation theory of spin space groups
• Ferroelectric switchable altermagnetism
• Altermagnetic Routes to Majorana Modes in Zero Net Magnetization
• Andreev reflection at the altermagnet-superconductor interface
• Spin Space Groups: Full Classification and Applications
• Enumeration of spin-space groups: Towards a complete description of symmetries of magnetic orders
• Quantum geometry induced nonlinear transport in altermagnets
• Phase-shifted Andreev levels in an altermagnet Josephson junction
• Robust magnetoelectric coupling in altermagnetic-ferroelectric type-III multiferroics
• Non-relativistic spin splitting in compensated magnets that are not altermagnets
• Altermagnetism and magnetic groups with pseudoscalar electron spin
• $\phi$ Josephson junction induced by altermagnetism
• Symmetry analysis with spin crystallographic groups: Disentangling effects free of spin-orbit coupling in emergent electromagnetism
• Ruddlesden-Popper and perovskite phases as a material platform for altermagnetism
• Crystal Symmetry Selected Pure Spin Photocurrent in Altermagnetic Insulators
• Spin Hall magnetoresistance at the altermagnetic insulator/Pt interface

Cited by in corpus (7)

• Ferroelasticity tunable altermagnets
• Symmetry Classification for Alternating Excitons in Two-Dimensional Altermagnets
• Real Chern insulators in two-dimensional altermagnetic Fe${}_2$S${}_2$O and Fe${}_2$Se${}_2$O
• Noncollinear Magnetic Multipoles in Collinear Altermagnets
• Spin-Polarized Josephson Supercurrent in Nodeless Altermagnets
• Fractional Quantum Multiferroics from Coupling of Fractional Quantum Ferroelectricity and Altermagnetism
• Higher-order topological insulators in two-dimensional antiferromagnetic and altermagnetic chromium-based group-IV chalcogenides