Quantum critical scaling of altermagnetism
arXiv:2505.04683 · doi:10.1103/8rv6-54zg
Abstract
The term altermagnetism has recently been introduced to describe the Néel order of a class of materials whose magnetic sublattices are neither related by translation nor inversion. While these materials arguably have large technological potential, little effort has been devoted to studying the universal distinction of this phase of matter compared to collinear antiferromagnetism. Employing a recently proposed minimal microscopic model, we explicitly derive a nonlinear sigma model describing long-wavelength fluctuations of the staggered magnetization in this system, including quantum effects to leading order. The term that distinguishes the altermagnetic nonlinear sigma model from its antiferromagnetic counterpart is an interaction term that derives directly from the Berry phase of the microscopic spin degrees of freedom. Its effects on the one-loop renormalization group flow in dimensions are examined. Extending the theory to describe the fermionic excitations of the metallic altermagnet, we find an effective low-energy model of -wave spin-split Dirac fermions interacting with the magnetic fluctuations. Using a Dyson-Schwinger approach, we derive the many-body effects on the dynamical critical scaling due to the competition between the long-range Coulomb interaction and the fluctuations of the staggered magnetization.
14 pages, 6 figures, accepted in Physical review B
References in corpus (34)
- Antiferromagnetic spintronics
- "Deconfined" quantum critical points
- Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
- Quantum Orders and Symmetric Spin Liquids
- Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
- Interactions and phase transitions on graphene's honeycomb lattice
- Broken Kramers' degeneracy in altermagnetic MnTe
- Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
- Direct observation of altermagnetic band splitting in CrSb thin films
- Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
- Recent Developments in Non-Fermi Liquid Theory
- Landau Theory of Altermagnetism
- Magnetic octupoles as the order parameter for unconventional antiferromagnetism
- Two-dimensional altermagnets: Superconductivity in a minimal microscopic model
- Minimal Models for Altermagnetism
- Mirror Chern Bands and Weyl Nodal Loops in Altermagnets
- Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions
- Separation of Spin and Charge Quantum Numbers in Strongly Correlated Systems
- Realizing Altermagnetism in Fermi-Hubbard Models with Ultracold Atoms
- Deconfined criticality critically defined
- Quantum critical points with the Coulomb interaction and the dynamical exponent: when and why z=1
- From the Square Lattice to the Checkerboard Lattice : Spin Wave and Large-n Analysis
- First-order phase transition in easy-plane quantum antiferromagnets
- Structure, control, and dynamics of altermagnetic textures
- Altermagnetism and superconductivity in a multiorbital t-J model
- Duality and Universal Transport in a Mixed-Dimension Electrodynamics
- Altermagnetism from interaction-driven itinerant magnetism
- Many-body effects on superconductivity mediated by double-magnon processes in altermagnets
- Fluctuation induced piezomagnetism in local moment altermagnets
- Phase structure and phase transitions in a three dimensional SU(2) superconductor
- Altermagnetism on the Shastry-Sutherland lattice
- Non-perturbative renormalization group calculation of the quasi-particle velocity and the dielectric function of graphene
- SU() altermagnetism: Lattice models, magnon modes, and flavor-split bands
- Topology-driven deconfined quantum criticality in magnetic bilayers