From local spin nematicity to altermagnets: Footprints of band topology

Abstract

Altermagnets are crystallographic rotational symmetry breaking spin-ordered states, possessing a net zero magnetization despite manifesting Kramer's non-degenerate bands. Here, we show that momentum-independent local spin nematic orders in monolayer, Bernal bilayer, and rhombohedral trilayer graphene give rise to $p$-wave, $d$-wave, and $f$-wave altermagnets, respectively, thereby inheriting the topology of linear, quadratic and cubic free fermion band dispersions that are also described in terms of angular momentum $\ell =1,2$, and $3$ harmonics in the reciprocal space. The same conclusions also hold inside a spin-triplet nematic superconductor, featuring Majorana altermagnets. Altogether, these findings highlight the importance of electronic band structure in identifying such exotic magnetic orders in quantum materials. We depict the effects of in-plane magnetic fields on altermagnets, and propose spin-disordered alter-valley magnets in these systems.

Published version in PRB Letter: 7 Pages and 2 Figures (Supplemental Material as ancillary file)

References in corpus (36)

• The electronic properties of graphene
• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Multifunctional Antiferromagnetic Materials with Giant Piezomagnetism and Noncollinear Spin Current
• Superconductivity in rhombohedral trilayer graphene
• Broken Kramers' degeneracy in altermagnetic MnTe
• Band Structure of ABC-Stacked Graphene Trilayers
• Direct observation of altermagnetic band splitting in CrSb thin films
• Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
• Antiferromagnetism in RuO${}_2$ as $d$-wave Pomeranchuk instability
• Theory of interacting electrons on the honeycomb lattice
• Bulk superconducting phase with a full energy gap in the doped topological insulator Cu_xBi_2Se_3
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• dc Josephson Effect in Altermagnets
• Odd-Parity Pairing and Topological Superconductivity in a Strongly Spin-Orbit Coupled Semiconductor
• Topological Superconductivity in Two-Dimensional Altermagnetic Metals
• Finite-momentum Cooper pairing in proximitized altermagnets
• Quantum cascade of new correlated phases in trigonally warped bilayer graphene
• Altermagnetic Routes to Majorana Modes in Zero Net Magnetization
• Cascade of isospin phase transitions in Bernal bilayer graphene at zero magnetic field
• Two-dimensional altermagnets: Superconductivity in a minimal microscopic model
• Predictable gate-field control of spin in altermagnets with spin-layer coupling
• Topological transition from nodal to nodeless Zeeman splitting in altermagnets
• Spin-split collinear antiferromagnets: a large-scale ab-initio study
• Interacting fermions on the honeycomb bilayer: from weak to strong coupling
• Minimal Models for Altermagnetism
• Majorana corner modes and tunable patterns in an altermagnet heterostructure
• Coexistence of Anomalous Hall Effect and Weak Net Magnetization in Collinear Antiferromagnet MnTe
• Crystal facet orientated Altermagnets for detecting ferromagnetic and antiferromagnetic states by giant tunneling magnetoresistance effect
• Altermagnetism and magnetic groups with pseudoscalar electron spin
• AI-accelerated Discovery of Altermagnetic Materials
• Metals, fractional metals, and superconductivity in rhombohedral trilayer graphene
• Interplay between altermagnetism and nonsymmorphic symmetries generating large anomalous Hall conductivity by semi-Dirac points induced anticrossings
• Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders
• Orbital-selective altermagnetism and correlation-enhanced spin-splitting in transition metal oxides
• Wurtzite vs rock-salt MnSe epitaxy: electronic and altermagnetic properties
• Dynamic paramagnon-polarons in altermagnets

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• Nonreciprocal Current-Induced Zero-Resistance State in Valley-Polarized Superconductors
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• Nonlinear spin-Seebeck diode in $f$-wave magnets, third-order spin-Nernst effects in $g$-wave magnets and spin-Nernst effects in $i$-wave altermagnets
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