Quasi-one-dimensional spin transport in altermagnetic $Z^3$ nodal net metals

Abstract

In three dimensions, quasi-one-dimensional (Q1D) transport has traditionally been associated with systems featuring a Q1D chain structure. Here, based on first-principle calculations, we go beyond this understanding to show that the Q1D transport can also be realized in certain three-dimensional (3D) altermagnetic (AM) metals with a topological nodal net in momentum space but lacking Q1D chain structure in real space, including the existing compounds $\beta$-Fe${}_2$(PO${}_4$)O, Co${}_2$(PO${}_4$)O, and LiTi${}_2$O${}_4$. These materials exhibit an AM ground state and feature an ideal crossed $Z^3$ Weyl nodal line in each spin channel around Fermi level, formed by three straight and flat nodal lines traversing the entire Brillouin zone. These nodal lines eventually lead to an AM $Z^3$ nodal net. Surprisingly, the electronic conductivity ${\sigma }_{xx}$ in these topological nodal net metals is dozens of times larger than ${\sigma }_{yy}$ and ${\sigma }_{zz}$ in the up-spin channel, while ${\sigma }_{yy}$ dominates transport in the down-spin channel. This suggests a distinctive Q1D transport signature in each spin channel, and the principal moving directions for the two spin channels are orthogonal, resulting in Q1D direction-dependent spin transport. This novel phenomenon cannot be found in both conventional 3D bulk materials and Q1D chain materials. In particular, the Q1D spin transport gradually disappears as the Fermi energy moves away from the nodal net, further confirming its topological origin. Our work not only enhances the comprehension of topological physics in altermagnets but also opens a new direction for the exploration of topological spintronics.

References in corpus (44)

• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Magnetic-field-induced quantized anomalous Hall effect in intrinsic magnetic topological insulator MnBi${}_2$Te${}_4$
• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Crystal Hall effect in Collinear Antiferromagnets
• Anomalous Hall effect arising from noncollinear antiferromagnetism
• Large intrinsic anomalous Hall effect in half-metallic ferromagnet Co3Sn2S2 with magnetic Weyl fermions
• Topological classification of crystalline insulators through band structure combinatorics
• Observation of the Anomalous Hall Effect in a Collinear Antiferromagnet
• Efficient Electrical Spin-Splitter Based on Non-Relativistic Collinear Antiferromagnetism
• Progress and prospects in magnetic topological materials
• Multifunctional Antiferromagnetic Materials with Giant Piezomagnetism and Noncollinear Spin Current
• High-throughput calculations of magnetic topological materials
• Giant and tunneling magnetoresistance effects from anisotropic and valley-dependent spin-momentum interactions in antiferromagnets
• Altermagnetism: Exploring New Frontiers in Magnetism and Spintronics
• FermiSurfer: Fermi-surface viewer providing multiple representation schemes
• Electrical Manipulation of a Topological Antiferromagnetic State
• BoltzWann: A code for the evaluation of thermoelectric and electronic transport properties with a maximally-localized Wannier functions basis
• Zero-field Nernst effect in a ferromagnetic kagome-lattice Weyl-semimetal Co3Sn2S2
• Anomalous Nernst effect beyond the magnetization scaling relation in the ferromagnetic Heusler compound Co${}_2$MnGa
• Strong, anisotropic anomalous Hall effect and spin Hall effect in chiral antiferromagnetic compounds Mn${}_{3}X$ ($X$ = Ge, Sn, Ga, Ir, Rh and Pt)
• Magnetic Topological Quantum Chemistry
• Giant room temperature anomalous Hall effect and magnetically tuned topology in the ferromagnetic Weyl semimetal Co2MnAl
• Spin-group symmetry in magnetic materials with negligible spin-orbit coupling
• Topological Hopf and chain link semimetal states and their application to Co2MnGa (Theory and Materials Prediction)
• Type-II nodal loops: theory and material realization
• Anomalous Hall effect and topological defects in antiferromagnetic Weyl semimetals: Mn${}_3$Sn/Ge
• Electric-Field-Controlled Antiferromagnetic Spintronic Devices
• Rational design principles of quantum anomalous Hall effect from superlattice-like magnetic topological insulators
• Predictable gate-field control of spin in altermagnets with spin-layer coupling
• Quadratic and Cubic Nodal Lines Stabilized by Crystalline Symmetry
• Néel Spin Currents in Antiferromagnets
• Electric-Field Control of Magnetic Order: From FeRh to Topological Antiferromagnetic Spintronics
• MagneticTB: A package for tight-binding model of magnetic and non-magnetic materials
• Antiferromagnetic Tunnel Junctions for Spintronics
• Systematic investigation of emergent particles in type-III magnetic space groups
• Encyclopedia of emergent particles in type-IV magnetic space groups
• Antiferromagnetic Dirac Semimetals in Two Dimensions
• Magnetic higher-order nodal lines
• Coexisting of Quantum Hall and Quantum Anomalous Hall phases in Disordered $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$
• Antiferromagnetic Topological Nodal Line Semimetals
• Ab initio prediction of anomalous Hall effect in antiferromagnetic CaCrO${}_3$
• MagneticKP: A package for quickly constructing $\mathbf{k}\cdot \mathbf{p}$ models of magnetic and non-magnetic crystals
• Coexistence of Weyl semimetal and Weyl nodal loop semimetal phases in a collinear antiferromagnet
• Disorder- and Topology-Enhanced Fully Spin-Polarized Currents in Nodal Chain Spin-Gapless Semimetals

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