Out-of-plane Edelstein effects: Electric field induced magnetization in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-wave magnets

In-plane magnetization is induced by the Edelstein effect in a Rashba spin-orbit interaction system. However, out-of-plane magnetization is more useful for switching a ferromagnetic memory. We study analytically and numerically electric field induced magnetization in <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mi>p</a:mi></a:math>-wave magnets with the aid of the Rashba interaction based on a simple two-band model. The out-of-plane magnetization is induced when the Néel vector of the <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"><b:mi>p</b:mi></b:math>-wave magnet is along the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"><c:mi>z</c:mi></c:math> direction. We also show that no magnetization is induced in the absence of the Rashba interaction. The electric field induced magnetization will be useful for future switching technologies of ferromagnetic memories based on the <d:math xmlns:d="http://www.w3.org/1998/Math/MathML"><d:mi>p</d:mi></d:math>-wave magnet.