Ferromagnetic-electrodes-induced Hall effect in topological Dirac semimetals

We propose an unconventional type of Hall effect in a topological Dirac semimetal with ferromagnetic electrodes. The topological Dirac semimetal itself has time-reversal symmetry, whereas attached ferromagnetic electrodes break it, causing the large Hall response. This induced Hall effect is a chara...

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Main Authors: Koji Kobayashi, Kentaro Nomura
Format: Article
Language:English
Published: American Physical Society 2021-07-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.033023
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author Koji Kobayashi
Kentaro Nomura
author_facet Koji Kobayashi
Kentaro Nomura
author_sort Koji Kobayashi
collection DOAJ
description We propose an unconventional type of Hall effect in a topological Dirac semimetal with ferromagnetic electrodes. The topological Dirac semimetal itself has time-reversal symmetry, whereas attached ferromagnetic electrodes break it, causing the large Hall response. This induced Hall effect is a characteristic of the helical surface/edge states that arise in topological materials such as topological Dirac semimetals or quantum spin Hall insulators. We compute the Hall conductance/resistance and the Hall angle by using a lattice model with four-terminal geometry. For topological Dirac semimetals with four electrodes, the induced Hall effect occurs whether the current electrodes or the voltage electrodes are ferromagnetic. When the spins in electrodes are almost fully polarized, the Hall angle becomes as large as that of quantum Hall states or ideal magnetic Weyl semimetals. We show the robustness of the induced Hall effect against impurities and also discuss the spin injection and spin decay problems. This Hall response can be used to detect whether the magnetizations of the two ferromagnetic electrodes are parallel or antiparallel.
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spelling doaj.art-0f0090f67b574c69ba8d016010ce78a02024-04-12T17:11:30ZengAmerican Physical SocietyPhysical Review Research2643-15642021-07-013303302310.1103/PhysRevResearch.3.033023Ferromagnetic-electrodes-induced Hall effect in topological Dirac semimetalsKoji KobayashiKentaro NomuraWe propose an unconventional type of Hall effect in a topological Dirac semimetal with ferromagnetic electrodes. The topological Dirac semimetal itself has time-reversal symmetry, whereas attached ferromagnetic electrodes break it, causing the large Hall response. This induced Hall effect is a characteristic of the helical surface/edge states that arise in topological materials such as topological Dirac semimetals or quantum spin Hall insulators. We compute the Hall conductance/resistance and the Hall angle by using a lattice model with four-terminal geometry. For topological Dirac semimetals with four electrodes, the induced Hall effect occurs whether the current electrodes or the voltage electrodes are ferromagnetic. When the spins in electrodes are almost fully polarized, the Hall angle becomes as large as that of quantum Hall states or ideal magnetic Weyl semimetals. We show the robustness of the induced Hall effect against impurities and also discuss the spin injection and spin decay problems. This Hall response can be used to detect whether the magnetizations of the two ferromagnetic electrodes are parallel or antiparallel.http://doi.org/10.1103/PhysRevResearch.3.033023
spellingShingle Koji Kobayashi
Kentaro Nomura
Ferromagnetic-electrodes-induced Hall effect in topological Dirac semimetals
Physical Review Research
title Ferromagnetic-electrodes-induced Hall effect in topological Dirac semimetals
title_full Ferromagnetic-electrodes-induced Hall effect in topological Dirac semimetals
title_fullStr Ferromagnetic-electrodes-induced Hall effect in topological Dirac semimetals
title_full_unstemmed Ferromagnetic-electrodes-induced Hall effect in topological Dirac semimetals
title_short Ferromagnetic-electrodes-induced Hall effect in topological Dirac semimetals
title_sort ferromagnetic electrodes induced hall effect in topological dirac semimetals
url http://doi.org/10.1103/PhysRevResearch.3.033023
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