Fractionalized Altermagnets: from neighboring and altermagnetic spin-liquids to spin-symmetric band splitting

Abstract

We study quantum-fluctuation-driven fractionalized phases in the vicinity of altermagnetic order. First, the long-range magnetic orders in the vicinity of collinear altermagnetism are identified; these feature a non-coplanar "orbital altermagnet" which has altermagnetic symmetries in spin-rotation invariant observables. We then describe neighboring fractionalized phases with topological order reached when quantum fluctuations destroy long-range spin order, within Schwinger-boson theory and an SU(2) gauge theory of fluctuating magnetism. Discrete symmetries remain broken in some of the fractionalized phases, with the orbital altermagnet becoming an "altermagnetic spin liquid". We compute the electronic spectral function in the doped system, which is characterized by split Fermi surfaces with preserved spin-rotation symmetry.

5+12 pages, 3+1 figures; V2: minor changes, updated refs

References in corpus (53)

• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Multifunctional Antiferromagnetic Materials with Giant Piezomagnetism and Noncollinear Spin Current
• Broken Kramers' degeneracy in altermagnetic MnTe
• Tilted spin current generated by the collinear antiferromagnet RuO2
• 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
• dc Josephson Effect in Altermagnets
• Topological Superconductivity in Two-Dimensional Altermagnetic Metals
• Finite-momentum Cooper pairing in proximitized altermagnets
• Landau Theory of Altermagnetism
• Altermagnetic Routes to Majorana Modes in Zero Net Magnetization
• Absence of altermagnetic spin splitting character in rutile oxide RuO${}_2$
• 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
• Spin-split collinear antiferromagnets: a large-scale ab-initio study
• Perovskite as a spin current generator
• Quantum geometry induced nonlinear transport in altermagnets
• Phase-shifted Andreev levels in an altermagnet Josephson junction
• Altermagnetic superconducting diode effect
• Minimal Models for Altermagnetism
• Majorana corner modes and tunable patterns in an altermagnet heterostructure
• Mirror Chern Bands and Weyl Nodal Loops in Altermagnets
• Spontaneous Formation of Altermagnetism from Orbital Ordering
• Fluctuating spin density waves in metals
• Altermagnetic anomalous Hall effect emerging from electronic correlations
• Realizing Altermagnetism in Fermi-Hubbard Models with Ultracold Atoms
• Altermagnetism and magnetic groups with pseudoscalar electron spin
• AI-accelerated Discovery of Altermagnetic Materials
• Hole dynamics in an antiferromagnet across a deconfined quantum critical point
• Weakly spin-dependent band structures of antiferromagnetic perovskite LaMO${}_3$ (M = Cr, Mn, Fe)
• Orientation-dependent Josephson effect in spin-singlet superconductor/altermagnet/spin-triplet superconductor junctions
• Bond order from disorder in the planar pyrochlore magnet
• Superconductor-altermagnet memory functionality without stray fields
• Weak-Coupling Theory of Neutron Scattering as a Probe of Altermagnetism
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• The frustrated Heisenberg antiferromagnet on the checkerboard lattice: the $J_1$--$J_2$ model
• Interplay between altermagnetism and nonsymmorphic symmetries generating large anomalous Hall conductivity by semi-Dirac points induced anticrossings
• Altermagnetism and superconductivity in a multiorbital t-J model
• Orbital-selective altermagnetism and correlation-enhanced spin-splitting in transition metal oxides
• Dynamic paramagnon-polarons in altermagnets
• Fluctuation induced piezomagnetism in local moment altermagnets
• Altermagnetism on the Shastry-Sutherland lattice
• Unconventional superconductivity in altermagnets with spin-orbit coupling
• Altermagnetic Ground State in Distorted Kagome Metal CsCr${}_3$Sb${}_5$
• Complex magnetic structure and spin waves of the noncollinear antiferromagnet Mn5Si3
• Nonlinear Magnetoelectric Effect under Magnetic Octupole Order: Its Application to a $d$-Wave Altermagnet and a Pyrochlore Lattice with All-In/All-Out Magnetic Order
• Anomalous Nernst effect in the noncollinear antiferromagnet Mn${}_5$Si${}_3$
• Altermagnetism from coincident Van Hove singularities: application to $\kappa$-Cl
• Altermagnetism in Heavy Fermion Systems: Mean-Field study on Kondo Lattice
• Theory of quasiparticle interference in Kitaev quantum spin liquids

Cited by in corpus (6)

• Dominant orbital magnetization in the prototypical altermagnet MnTe
• Altermagnetic polarons: the fate of alter magnetic band splittings at strong coupling
• Magnetic-field-tuned randomness in inhomogeneous altermagnets
• Impact of strong electronic correlations on altermagnets: the case of NiS2
• Projectively implemented altermagnetism in an exactly solvable quantum spin liquid
• Orbital altermagnetism on the kagome lattice and possible application to $A$V${}_3$Sb${}_5$