Topological insulators and superconductors based on $p$-wave magnets,electrical control and detection of a domain wall

Abstract

Altermagnets are time-reversal broken antiferromagnets, where the $z$ component of the Néel vector is detectable by anomalous Hall effects. On the other hand, recently proposed $p$-wave magnets are time-reversal preserved antiferromagnets, and it is a highly nontrivial problem how to detect and control a domain wall. We study a one-dimensional hybrid system made of a $p$-wave magnet and a metal possessing the orbital degree of freedom. The hybrid system is a topological insulator without the spin-orbit interaction. There emerge two edge states per one edge, because the system is mapped to a set of two copies of a topological insulator. Each copy resembles the long-range Su-Schrieffer-Heeger model but it is topologically different. Topological interface states emerge at a domain wall in the $p$-wave magnet, which are charged due to the Jackiw-Rebbi mechanism. Consequently, a domain wall in the $p$-wave magnet will be controllable and detectable purely by electrical means. We also study Majorana fermions induced by proximity coupling of $s$-wave superconductivity and $p$-wave magnet.

arXiv comment8 pages, 8 figures

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• Out-of-plane Edelstein effects: Electric-field induced magnetization in $p$-wave magnets
• Purely electrical detection of the spin-splitting vector in $p$-wave magnets based on linear and nonlinear conductivities
• Quantum geometry and elliptic optical dichroism in $p$-wave magnets
• Higher-order bulk photovoltaic effects, quantum geometry and application to $p$-wave magnets
• Tunneling magnetoresistance in a junction made of $X$-wave magnets with $X=p,d,f,g,i$
• Hyperspin Altermagnets
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• Altermagnetism Induced Bogoliubov Fermi Surfaces Form Topological Superconductivity