The odd-parity altermagnetism: A spin group study
read the original abstract
Following recent intensive studies on altermagnetism(ALM) characterized by non-relativistic even-parity spin splitting, realizing unconventional odd-parity magnetism has also attracted increasing interest. Here, using symmetry arguments based on spin-group analyses, we elucidate sufficient conditions for the emergence of odd-parity spin splitting in collinear antiferromagnetic systems, which is further established as the standard odd-parity ALM. It is derived that the odd-parity ALM arises from the following criteria: (i)the breaking nonmagnetic time reversal symmetry(TRS), i.e., the breaking real-space TRS; (ii)the long-range collinear compensated magnetism; (iii)the symmetry $[C_{2}||\bar{E}]$ or $[C_{2}||M]$ connecting opposite-spin sublattices, where $C_{2}$, $\bar{E}$, and $M$ respectively represent a $180^{\circ}$ rotation around the axis perpendicular to spins, the inversion, and the mirror reflection separating opposite-spin sublattices, directly reflecting the high-order harmonic($l\ge3$) and the $p$-wave($l=1$) odd-parity ALM, respectively. Moreover, we utilize the well-known Haldane-Hubbard model to identify odd-parity spin splitting in the collinear ALM ground state, where (i)the nonmagnetic TRS is broken by opposite sublattice currents coming from the Haldane hopping; (ii)the symmetry $[C_{2}||\bar{E}]$ is ensured because the currents flowing on opposite-spin sublattices are reversed.
This paper has not been read by Pith yet.
Forward citations
Cited by 5 Pith papers
-
Light-Induced Even-Wave Spin Splittings in Nonmagnetic Centrosymmetric Systems with Spin-Orbit Coupling
Circularly polarized light induces even-wave spin splittings in nonmagnetic centrosymmetric systems with SOC, producing s-, d-, and g-wave patterns like those in ferromagnets and enabling Chern insulator phases.
-
Nonrelativistic Spin-Orbit-Coupling Effects in Odd-Parity Coplanar Magnets
Bilayer odd-parity coplanar magnets constructed from altermagnets realize tunable nonrelativistic SOC spin textures equivalent to relativistic counterparts.
-
Mixed-Parity Altermagnetism in Collinear Spin-Orbital Magnets
Collinear spin-orbital magnets host mixed-parity altermagnetism as an intermediate regime between even- and odd-parity forms, inducible by circularly polarized light in a two-sublattice two-orbital model.
-
The odd-parity altermagnetism induced reconstruction of the Chern-insulating phase in Haldane-Hubbard model
Odd-parity altermagnetism reconstructs local topology, edge states, and optical spectra in the Chern-insulating phase of the Haldane-Hubbard model while preserving the total Chern number and quantized Hall conductivity.
-
Odd-Parity Altermagnetism Originated from Orbital Orders
A symmetry-based stacking strategy with layer-flip realizes odd-parity altermagnetism from nonrelativistic orbital orders, hosting quantum spin Hall phases with helical edge states.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.