Spin Splitting Nernst Effect in Altermagnet

Abstract

Altermagnet is a distinctive magnet phase, which has spin-split energy band but with zero net magnetic moment. In this paper, we propose that altermagnet behaves spin splitting Nernst effect: Under a longitudinal temperature gradient, the electrons with opposite spins tend to split oppositely in the transverse direction, thus generating a transverse spin current. The spin splitting Nernst effect is understood from the contribution of the longitudinal wave vector to the transverse group velocity. Using the nonequilibrium Green's function method, we calculate the spin-dependent transmission coefficient in the four-terminal altermagnet device. From the spin-dependent transmission coefficient, the nonzero transverse spin current from longitudinal temperature gradient is obtained, and the spin splitting Nernst effect is verified. We systematically study the parameter dependence of the spin splitting Nernst effect, while also performing symmetry analysis. The spin splitting Nernst effect can be easily regulated by Fermi surface energy, temperature, transport direction, and system size. Furthermore, in altermagnet, the $xy$-response and $yx$-response spin splitting Nernst coefficients are equal with $N_{s,xy}=N_{s,yx}$, different from the conventional spin Nernst effect where they are opposite. Meanwhile, the spin splitting Nernst effect require neither spin-orbit coupling nor net magnetism.

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• Quantum geometry and magnon Hall transport in an altermagnet
• The emergence of net chirality in two-dimensional Dirac fermions system with altermagnetic mass
• Helical Fermi Arc in Altermagnetic Weyl Semimetal
• Tunable two-dimensional Dirac-Weyl semimetal phase induced by altermagnetism
• Majorana modes in helical altermagnet without net magnetism and spin-orbit coupling
• Quantum anomalous Hall effect with tunable Chern numbers induced by d-wave sublattice-staggered altermagnetism
• Spin transport in a normal meta-altermagnetic superconducting nanowire junction
• Interaction enhanced altermagnet in the Hatsugai-Kohmoto model
• Unconventional Spin Valve Based on Normal Metal/Chiral Molecule/Altermagnet Junctions
• Surface acoustic wave driven acoustic spin splitter in d-wave altermagnetic thin films