Almost half-quantized planar Hall effects in $X$-wave magnets with $X=p,d,f,g,i$

Abstract

The planar Hall effect is a phenomenon that the Hall conductivity emerges perpendicular to the electric field in the presence of an in-plane magnetic field. We investigate the planar Hall effect in two-dimensional metal coupled with higher symmetric $X$-wave magnets with $X=p,d,f,g,i$,\ where those with $X=d,g,i$ are altermagnets. The $X$-wave magnet is characterized by the number $N_X$ of the nodes in the band structure, where $N_X=1,2,3,4,6$ corresponding to $X=p,d,f,g,i$. Although the system is metallic, provided the Dirac gap is tiny, we demonstrate that the Hall conductivities are almost half quantized and well approximated by the formula ${\sigma }_{xy}=\pm (e^2/2h)$ sgn$\left(J\sin N_X\Phi \right)$, where $J$ is the coefficient of the coupling between the $X$-wave magnet and the electrons, and $\Phi$ is the direction of the applied magnetic field. Hence, the Hall conductivity is periodic in $\Phi$, and the periodicity is equal to the number $N_X$ of the nodes. This property may be used to confirm that the target material is indeed an $X$-wave magnet. Furthermore, the sign of $J$ may be used as a bit for antiferromagnetic spintronics.

8 pages, 9 figures

References in corpus (23)

• Antiferromagnetism in RuO${}_2$ as $d$-wave Pomeranchuk instability
• Simplified topological invariants for interacting insulators
• Topological Superconductivity in Two-Dimensional Altermagnetic Metals
• Twisted Magnetic Van der Waals Bilayers: An Ideal Platform for Altermagnetism
• Altermagnetic Routes to Majorana Modes in Zero Net Magnetization
• Perovskite as a spin current generator
• Majorana corner modes and tunable patterns in an altermagnet heterostructure
• Saturation of the anomalous Hall effect at high magnetic fields in altermagnetic RuO2
• Anisotropy of the anomalous Hall effect in the altermagnet candidate Mn${}_5$Si${}_3$ films
• Altermagnetic anomalous Hall effect emerging from electronic correlations
• Superconducting phenomena in systems with unconventional magnets
• Intrinsic anomalous Hall effect in altermagnets
• Spontaneous Anomalous Hall Effect in Two-Dimensional Altermagnets
• Third-order and fifth-order nonlinear spin-current generation in $g$-wave and $i$-wave altermagnets, and perfectly nonreciprocal spin-current in $f$-wave magnets
• Interplay between altermagnetism and nonsymmorphic symmetries generating large anomalous Hall conductivity by semi-Dirac points induced anticrossings
• Metallic $p$-wave magnet with commensurate spin helix
• Detecting the Néel vector of altermagnet by attaching a topological insulator and crystalline valley-edge insulator
• Momentum-space instantons and maximally localized flat-band topological Hamiltonians
• Intrinsic nonlinear conductivity induced by quantum geometry in altermagnets and measurement of the in-plane Néel vector
• Bulk photovoltaic effects in altermagnets
• Purely electrical detection of the spin-splitting vector in $p$-wave magnets based on linear and nonlinear conductivities
• From local spin nematicity to altermagnets: Footprints of band topology
• Approximate half-integer quantization in anomalous planar transport in $d$-wave altermagnets

Cited by in corpus (6)

• Quantum geometry and $X$-wave magnets with $X=p,d,f,g,i$
• Tunneling magnetoresistance in a junction made of $X$-wave magnets with $X=p,d,f,g,i$
• Nonlinear spin-Seebeck diode in $f$-wave magnets, third-order spin-Nernst effects in $g$-wave magnets and spin-Nernst effects in $i$-wave altermagnets
• Staggered Dzyaloshinskii-Moriya and canting angle in centrosymmetric altermagnetic and ferromagnetic phases: influence on the anomalous Hall effect and Weyl points
• Altermagnetism from the viewpoint of chemistry
• Fourth-order and six-order nonlinear spin current rectifier in three-dimensional $h$-wave and $j$-wave odd-parity magnet