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Title: Magnetoelectric control of topological phases in graphene

Abstract

Topological antiferromagnetic (AFM) spintronics is an emerging field of research, which involves the topological electronic states coupled to the AFM order parameter known as the Néel vector. The control of these states is envisioned through manipulation of the Néel vector by spin-orbit torques driven by electric currents. In this work, we present a different approach favorable for low-power AFM spintronics, where the control of the topological states in a two-dimensional material, such as graphene, is performed via the proximity effect by the voltage induced switching of the Néel vector in an adjacent magnetoelectric AFM insulator, such as chromia. Mediated by the symmetry protected boundary magnetization and the induced Rashba-type spin-orbit coupling at the interface between graphene and chromia, the emergent topological phases in graphene can be controlled by the Néel vector. Using density functional theory and tight-binding Hamiltonian approaches, we model a graphene / Cr 2 O 3 (0001) interface and demonstrate nontrivial band gap openings in the graphene Dirac bands asymmetric between the K and K ' valleys. This gives rise to an unconventional quantum anomalous Hall effect (QAHE) with a quantized value of 2 e 2 / h and an additional steplike feature at a value close to e 2 / 2 h , and the emergence of the spin-polarized valley Hall effect (VHE). Additionally, depending on the Néel vector orientation, we predict the appearance and transformation of different topological phases in graphene across the 180° AFM domain wall, involving the QAHE, the valley-polarized QAHE, and the quantum VHE, and the emergence of the chiral edge states along the domain wall. These topological properties are controlled by voltage through magnetoelectric switching of the AFM insulator with no need for spin-orbit torques.

Authors:
 [1];  [1];  [1]; ORCiD logo [1]
  1. Univ. of Nebraska, Lincoln, NE (United States)
Publication Date:
Research Org.:
Univ. of Nebraska, Lincoln, NE (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF)
OSTI Identifier:
1596694
Grant/Contract Number:  
SC0014189; ECCS-1740136
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 100; Journal Issue: 12; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Anomalous Hall effect; Antiferromagnetism; Electronic structure; Exchange interaction; First-principles calculations; Quantum anomalous Hall effect; Rashba coupling; Spin polarization; Spintronics; Valleytronics; Physical Systems; Graphene

Citation Formats

Takenaka, Hiroyuki, Sandhoefner, Shane, Kovalev, Alexey A., and Tsymbal, Evgeny Y. Magnetoelectric control of topological phases in graphene. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.100.125156.
Takenaka, Hiroyuki, Sandhoefner, Shane, Kovalev, Alexey A., & Tsymbal, Evgeny Y. Magnetoelectric control of topological phases in graphene. United States. https://doi.org/10.1103/PhysRevB.100.125156
Takenaka, Hiroyuki, Sandhoefner, Shane, Kovalev, Alexey A., and Tsymbal, Evgeny Y. Wed . "Magnetoelectric control of topological phases in graphene". United States. https://doi.org/10.1103/PhysRevB.100.125156. https://www.osti.gov/servlets/purl/1596694.
@article{osti_1596694,
title = {Magnetoelectric control of topological phases in graphene},
author = {Takenaka, Hiroyuki and Sandhoefner, Shane and Kovalev, Alexey A. and Tsymbal, Evgeny Y.},
abstractNote = {Topological antiferromagnetic (AFM) spintronics is an emerging field of research, which involves the topological electronic states coupled to the AFM order parameter known as the Néel vector. The control of these states is envisioned through manipulation of the Néel vector by spin-orbit torques driven by electric currents. In this work, we present a different approach favorable for low-power AFM spintronics, where the control of the topological states in a two-dimensional material, such as graphene, is performed via the proximity effect by the voltage induced switching of the Néel vector in an adjacent magnetoelectric AFM insulator, such as chromia. Mediated by the symmetry protected boundary magnetization and the induced Rashba-type spin-orbit coupling at the interface between graphene and chromia, the emergent topological phases in graphene can be controlled by the Néel vector. Using density functional theory and tight-binding Hamiltonian approaches, we model a graphene/Cr2O3 (0001) interface and demonstrate nontrivial band gap openings in the graphene Dirac bands asymmetric between the K and K' valleys. This gives rise to an unconventional quantum anomalous Hall effect (QAHE) with a quantized value of 2e2/h and an additional steplike feature at a value close to e2/2h, and the emergence of the spin-polarized valley Hall effect (VHE). Additionally, depending on the Néel vector orientation, we predict the appearance and transformation of different topological phases in graphene across the 180° AFM domain wall, involving the QAHE, the valley-polarized QAHE, and the quantum VHE, and the emergence of the chiral edge states along the domain wall. These topological properties are controlled by voltage through magnetoelectric switching of the AFM insulator with no need for spin-orbit torques.},
doi = {10.1103/PhysRevB.100.125156},
journal = {Physical Review B},
number = 12,
volume = 100,
place = {United States},
year = {2019},
month = {9}
}

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Works referenced in this record:

Graphene spintronics
journal, October 2014

  • Han, Wei; Kawakami, Roland K.; Gmitra, Martin
  • Nature Nanotechnology, Vol. 9, Issue 10
  • DOI: 10.1038/nnano.2014.214

Chiral transport along magnetic domain walls in the quantum anomalous Hall effect
journal, December 2017


Writing and reading antiferromagnetic Mn2Au by Néel spin-orbit torques and large anisotropic magnetoresistance
journal, January 2018


Band-structure topologies of graphene: Spin-orbit coupling effects from first principles
journal, December 2009


The multiple directions of antiferromagnetic spintronics
journal, March 2018


Magnetization switching through giant spin–orbit torque in a magnetically doped topological insulator heterostructure
journal, April 2014

  • Fan, Yabin; Upadhyaya, Pramey; Kou, Xufeng
  • Nature Materials, Vol. 13, Issue 7
  • DOI: 10.1038/nmat3973

Detecting topological currents in graphene superlattices
journal, September 2014


Projector augmented-wave method
journal, December 1994


Spin-Orbit Coupling in Hydrogenated Graphene
journal, June 2013


Valley filter and valley valve in graphene
journal, February 2007

  • Rycerz, A.; Tworzydło, J.; Beenakker, C. W. J.
  • Nature Physics, Vol. 3, Issue 3, p. 172-175
  • DOI: 10.1038/nphys547

Spin-orbit gap of graphene: First-principles calculations
journal, January 2007


Dirac Nodal Line Metal for Topological Antiferromagnetic Spintronics
journal, February 2019


Dirac-fermion-mediated ferromagnetism in a topological insulator
journal, August 2012

  • Checkelsky, Joseph G.; Ye, Jianting; Onose, Yoshinori
  • Nature Physics, Vol. 8, Issue 10
  • DOI: 10.1038/nphys2388

Macroscopic magnetic fields of antiferromagnets
journal, May 1996

  • Andreev, A. F.
  • Journal of Experimental and Theoretical Physics Letters, Vol. 63, Issue 9
  • DOI: 10.1134/1.566978

Imaging and Control of Surface Magnetization Domains in a Magnetoelectric Antiferromagnet
journal, February 2011


Density-functional theory and strong interactions: Orbital ordering in Mott-Hubbard insulators
journal, August 1995


Topological Valley Currents in Gapped Dirac Materials
journal, June 2015


Equilibrium Magnetization at the Boundary of a Magnetoelectric Antiferromagnet
journal, October 2010


An Information Theory-Inspired Strategy for Design of Re-programmable Encrypted Graphene-based Coding Metasurfaces at Terahertz Frequencies
journal, April 2018


Valley-Contrasting Physics in Graphene: Magnetic Moment and Topological Transport
journal, December 2007


Spin-transfer torque generated by a topological insulator
journal, July 2014

  • Mellnik, A. R.; Lee, J. S.; Richardella, A.
  • Nature, Vol. 511, Issue 7510
  • DOI: 10.1038/nature13534

Electrical switching of an antiferromagnet
journal, January 2016


The electronic properties of graphene
journal, January 2009

  • Castro Neto, A. H.; Guinea, F.; Peres, N. M. R.
  • Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162
  • DOI: 10.1103/RevModPhys.81.109

Quantum Anomalous Hall Effect in Graphene Proximity Coupled to an Antiferromagnetic Insulator
journal, March 2014


Route towards Dirac and Weyl antiferromagnetic spintronics: Route towards Dirac and Weyl antiferromagnetic spintronics
journal, March 2017

  • Šmejkal, Libor; Jungwirth, Tomáš; Sinova, Jairo
  • physica status solidi (RRL) - Rapid Research Letters, Vol. 11, Issue 4
  • DOI: 10.1002/pssr.201700044

Large discrete jumps observed in the transition between Chern states in a ferromagnetic topological insulator
journal, July 2016

  • Liu, Minhao; Wang, Wudi; Richardella, Anthony R.
  • Science Advances, Vol. 2, Issue 7
  • DOI: 10.1126/sciadv.1600167

Graphene on transition-metal dichalcogenides: A platform for proximity spin-orbit physics and optospintronics
journal, October 2015


Valley-Polarized Quantum Anomalous Hall Effect in Silicene
journal, March 2014


Moving towards the magnetoelectric graphene transistor
journal, October 2017

  • Cao, Shi; Xiao, Zhiyong; Kwan, Chun-Pui
  • Applied Physics Letters, Vol. 111, Issue 18
  • DOI: 10.1063/1.4999643

Weyl and Dirac semimetals in three-dimensional solids
journal, January 2018


Theory of Valley Hall Conductivity in Graphene with Gap
journal, November 2015


Quantized chiral edge conduction on domain walls of a magnetic topological insulator
journal, December 2017


Topological antiferromagnetic spintronics
journal, March 2018


Robust isothermal electric control of exchange bias at room temperature
journal, June 2010

  • He, Xi; Wang, Yi; Wu, Ning
  • Nature Materials, Vol. 9, Issue 7
  • DOI: 10.1038/nmat2785

Antiferromagnetic spintronics
journal, February 2018


Mixed Weyl semimetals and low-dissipation magnetization control in insulators by spin–orbit torques
journal, November 2017


Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
journal, March 2013


Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect
journal, February 2020


Electric Control of Dirac Quasiparticles by Spin-Orbit Torque in an Antiferromagnet
journal, March 2017


Purely antiferromagnetic magnetoelectric random access memory
journal, January 2017

  • Kosub, Tobias; Kopte, Martin; Hühne, Ruben
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms13985

Colloquium: Topological insulators
journal, November 2010


Quantum Spin Hall Effect in Graphene
journal, November 2005


The physics of quantum materials
journal, October 2017


Spin–orbit proximity effect in graphene
journal, September 2014

  • Avsar, A.; Tan, J. Y.; Taychatanapat, T.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5875

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996


Observation of the quantum valley Hall state in ballistic graphene superlattices
journal, May 2018

  • Komatsu, Katsuyosih; Morita, Yoshifumi; Watanabe, Eiichiro
  • Science Advances, Vol. 4, Issue 5
  • DOI: 10.1126/sciadv.aaq0194

Proximity-Induced Ferromagnetism in Graphene Revealed by the Anomalous Hall Effect
journal, January 2015


Graphene on transition-metal dichalcogenides: A platform for proximity spin-orbit physics and optospintronics
text, January 2015


Quantum Hall effect in graphene with interface-induced spin-orbit coupling
journal, February 2018


Spintronics and pseudospintronics in graphene and topological insulators
journal, April 2012

  • Pesin, Dmytro; MacDonald, Allan H.
  • Nature Materials, Vol. 11, Issue 5
  • DOI: 10.1038/nmat3305

Transport Measurements Across a Tunable Potential Barrier in Graphene
journal, June 2007


Graphene spintronics
conference, August 2010

  • Shiraishi, Masashi
  • SPIE NanoScience + Engineering, SPIE Proceedings
  • DOI: 10.1117/12.861584

Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"
journal, October 1988


Antiferromagnetic metal spintronics
journal, August 2011

  • MacDonald, A. H.; Tsoi, M.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 369, Issue 1948
  • DOI: 10.1098/rsta.2011.0014

Antiferromagnetic spintronics
journal, March 2016

  • Jungwirth, T.; Marti, X.; Wadley, P.
  • Nature Nanotechnology, Vol. 11, Issue 3
  • DOI: 10.1038/nnano.2016.18

Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
journal, July 2016


Relativistic Néel-Order Fields Induced by Electrical Current in Antiferromagnets
journal, October 2014


Microscopic origin of the structural phase transitions at the Cr 2 O 3 (0001) surface
journal, October 2012


Quantized Anomalous Hall Effect in Magnetic Topological Insulators
journal, June 2010


Magnetoelectric domain wall dynamics and its implications for magnetoelectric memory
journal, March 2016

  • Belashchenko, K. D.; Tchernyshyov, O.; Kovalev, Alexey A.
  • Applied Physics Letters, Vol. 108, Issue 13
  • DOI: 10.1063/1.4944996

Purely antiferromagnetic magnetoelectric random access memory
other, January 2017

  • Kosub, Tobias; Kopte, Martin; Hühne, Ruben
  • London : Nature Publishing Group
  • DOI: 10.34657/4984

Spin-Orbit Coupling in Hydrogenated Graphene
text, January 2013

  • Gmitra, Martin; Kochan, Denis; Fabian, Jaroslav
  • Universität Regensburg
  • DOI: 10.5283/epub.28950

The electronic properties of graphene
text, January 2007


Spin-orbit coupling in hydrogenated graphene
text, January 2013


Valley-Polarized Quantum Anomalous-Hall Effects in Silicene
text, January 2013


Spin-Orbit Proximity Effect in Graphene
text, January 2014


Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
text, January 2016


Purely Antiferromagnetic Magnetoelectric Random Access Memory
text, January 2016


Weyl and Dirac Semimetals in Three Dimensional Solids
text, January 2017


Quantum Hall Effect in Graphene with Interface-Induced Spin-Orbit Coupling
text, January 2017


Spin-orbit gap of graphene: First-principles calculations
text, January 2006


Valley filter and valley valve in graphene
text, January 2006


Works referencing / citing this record:

Quantum anomalous Hall effect by coupling heavy atomic layers with CrI 3
journal, November 2019


Unveiling multiferroic proximity effect in graphene
journal, December 2019