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Altermagnets and beyond: Nodal magnetically-ordered phases
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abstract
The recent discovery of altermagnets has opened new perspectives in the field of ordered phases in condensed matter. In strongly-correlated superfluids, the nodal p-wave and d-wave ordered phases of $^{3}$He and cuprates play a prominent role in physics for their rich phenomenology of the symmetry-breaking order parameters. While the p-wave and d-wave superfluids have been extensively studied over the past half a century, material realizations of their magnetic counterparts have remained elusive for many decades. This is resolved in altermagnets, whose recent discovery was driven by research in the field of spintronics towards highly scalable information technologies. Altermagnets feature d, g or i-wave magnetic ordering, with a characteristic alternation of spin polarization and spin-degenerate nodes. Here we review how altermagnetism can be identified from symmetries of collinear spin densities in crystal lattices, and can be realized at normal conditions in a broad family of insulating and conducting materials. We highlight salient electronic-structure signatures of the altermagnetic ordering, discuss extraordinary relativistic and topological phenomena that emerge in their band structures, and comment on strong-correlation effects. We then extend the discussion to non-collinear spin densities in crystals, including the prediction of p-wave magnets, and conclude with a brief summary of the reviewed physical properties of the nodal magnetically-ordered phases.
Forward citations
Cited by 8 Pith papers
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Nanoscale Imaging of Strain-Controlled Altermagnetic Domains in {\alpha}-MnTe
In alpha-MnTe, compression makes magnetic domains grow by merging, and unloading leaves them fragmented in a different, metastable pattern, so the material remembers the strain history.
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Parity-driven RKKY decoupling and anomalous $1/R$ Dzyaloshinskii-Moriya interaction in $p$-wave magnets
Odd-parity p-wave order decouples Ising RKKY from macroscopic beating, generates a massive nonrelativistic out-of-plane DM, and drives an intermediate 1/R nodal decay of in-plane DM under Rashba SOC.
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Elasto-Hall conductivity and the anomalous Hall effect in altermagnets
Strain distorts the Berry curvature quadrupole of an altermagnet into a net monopole, producing an anomalous Hall effect linear in the electric field.
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Orbital-Selective Mott Transition and Correlation-Amplified Charge Ordering in the Altermagnet CsCr$_2$S$_2$O
Dynamical correlations amplify S-distortion-seeded dyz charge asymmetry between Cr sites, driving the Verwey-type MIT in altermagnetic CsCr2S2O; Te substitution is predicted to suppress it.
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A Universal Crystal-Field Design Principle for Orbital-Order-Driven Altermagnetism
Crystal-field reconstruction activating a d_xz/d_yz orbital manifold drives staggered orbital order and d-wave spin splitting across d^1–d^7 transition-metal compounds, with interlayer stacking selecting altermagnetic...
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Electric field controlled second-order anomalous Hall effect in altermagnets
A dc field generates a Berry-curvature-dipole-driven second-order anomalous Hall effect in Rashba-coupled hybrid altermagnets, whose magnitude can distinguish dxy from dx2-y2 order at certain dopings.
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Transverse Spin Supercurrent at p-wave magnetic Josephson Junctions
A p-wave magnet sandwiched between two s-wave superconductors converts Andreev bound states into sideways-propagating modes that carry a pure transverse spin supercurrent.
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Hidden orders in spin-orbit entangled correlated insulators
A review of multipolar hidden-order phases in correlated insulators and the ab initio methods used to explain them.
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