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.

8 pages, 8 figures

References in corpus (6)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Microscopic approach to current-driven domain wall dynamics
• Majorana corner modes and tunable patterns in an altermagnet heterostructure
• Boundary Fidelity and Entanglement in the symmetry protected topological phase of the SSH model
• Theory of Tunneling Spectroscopy in Unconventional $p$-wave Magnet-Superconductor Hybrid Structures
• Detecting the Néel vector of altermagnet by attaching a topological insulator and crystalline valley-edge insulator

Cited by in corpus (11)

• Superconducting phenomena in systems with unconventional magnets
• 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
• Metallic $p$-wave magnet with commensurate spin helix
• 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
• Sub-spin-flop switching of a fully compensated antiferromagnet by magnetic field
• Altermagnetism Induced Bogoliubov Fermi Surfaces Form Topological Superconductivity