skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Intrinsic Quantum Anomalous Hall Effect with In-Plane Magnetization: Searching Rule and Material Prediction

Abstract

So far, most theoretically predicted and experimentally confirmed quantum anomalous Hall effects (QAHEs) are limited in two-dimensional (2D) materials with out-of-plane magnetization. In this Letter, starting from 2D nodal-line semimetal, a general rule for searching QAHE with in-plane magnetization is mapped out. Because of spin-orbital coupling, we found that the magnetization will prefer an in-plane orientation if the orbital of degenerate nodal-line states at the Fermi level have the same absolute value of magnetic quantum number. Moreover, depending on the broken or conserved mirror symmetry, either a QAHE or 2D semimetal can be realized. Based on first principles calculations, we further predict a real material of monolayer LaCl to be an intrinsic QAHE with in-plane magnetization. By tuning the directions of in-plane magnetization, the QAHE in LaCl demonstrates a threefold rotational symmetry with a Chern number of either +1 or –1 , and the transition point is characterized by a 2D semimetal phase. All these features are quantitatively reproduced by tight-binding model calculations, revealing the underlying physics clearly. Here, our results greatly extend the scope for material classes of QAHE and hence stimulate immediate experimental interest.

Authors:
 [1];  [1];  [1];  [1];  [1];  [2]
  1. Univ. of Science and Technology of China, Anhui (China)
  2. Univ. of Utah, Salt Lake City, UT (United States); Collaborative Innovation Center of Quantum Matter, Beijing (Matter)
Publication Date:
Research Org.:
Univ. of Utah, Salt Lake City, UT (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1609552
Alternate Identifier(s):
OSTI ID: 1485743
Grant/Contract Number:  
FG02-04ER46148; AHY090400; 2017YFA0204904; 2016YFA0200604
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 121; Journal Issue: 24; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; physics; electronic structure; topological materials; 2-dimensional systems; honeycomb lattice; Band structure methodsFirst-principles calculationsLattice models in condensed matter

Citation Formats

Liu, Zhao, Zhao, Gan, Liu, Bing, Wang, Z. F., Yang, Jinlong, and Liu, Feng. Intrinsic Quantum Anomalous Hall Effect with In-Plane Magnetization: Searching Rule and Material Prediction. United States: N. p., 2018. Web. doi:10.1103/physrevlett.121.246401.
Liu, Zhao, Zhao, Gan, Liu, Bing, Wang, Z. F., Yang, Jinlong, & Liu, Feng. Intrinsic Quantum Anomalous Hall Effect with In-Plane Magnetization: Searching Rule and Material Prediction. United States. doi:10.1103/physrevlett.121.246401.
Liu, Zhao, Zhao, Gan, Liu, Bing, Wang, Z. F., Yang, Jinlong, and Liu, Feng. Thu . "Intrinsic Quantum Anomalous Hall Effect with In-Plane Magnetization: Searching Rule and Material Prediction". United States. doi:10.1103/physrevlett.121.246401. https://www.osti.gov/servlets/purl/1609552.
@article{osti_1609552,
title = {Intrinsic Quantum Anomalous Hall Effect with In-Plane Magnetization: Searching Rule and Material Prediction},
author = {Liu, Zhao and Zhao, Gan and Liu, Bing and Wang, Z. F. and Yang, Jinlong and Liu, Feng},
abstractNote = {So far, most theoretically predicted and experimentally confirmed quantum anomalous Hall effects (QAHEs) are limited in two-dimensional (2D) materials with out-of-plane magnetization. In this Letter, starting from 2D nodal-line semimetal, a general rule for searching QAHE with in-plane magnetization is mapped out. Because of spin-orbital coupling, we found that the magnetization will prefer an in-plane orientation if the orbital of degenerate nodal-line states at the Fermi level have the same absolute value of magnetic quantum number. Moreover, depending on the broken or conserved mirror symmetry, either a QAHE or 2D semimetal can be realized. Based on first principles calculations, we further predict a real material of monolayer LaCl to be an intrinsic QAHE with in-plane magnetization. By tuning the directions of in-plane magnetization, the QAHE in LaCl demonstrates a threefold rotational symmetry with a Chern number of either +1 or –1 , and the transition point is characterized by a 2D semimetal phase. All these features are quantitatively reproduced by tight-binding model calculations, revealing the underlying physics clearly. Here, our results greatly extend the scope for material classes of QAHE and hence stimulate immediate experimental interest.},
doi = {10.1103/physrevlett.121.246401},
journal = {Physical Review Letters},
number = 24,
volume = 121,
place = {United States},
year = {2018},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Light-Induced Type-II Band Inversion and Quantum Anomalous Hall State in Monolayer FeSe
journal, April 2018


Magnetocrystalline anisotropy energy in cubic Fe, Co, and Ni: Applicability of local-spin-density theory reexamined
journal, April 1998


A Rigorous Method of Calculating Exfoliation Energies from First Principles
journal, April 2018


The Quantum Anomalous Hall Effect: Theory and Experiment
journal, March 2016


The quantized Hall effect
journal, July 1986


Prediction of Spin Orientations in Terms of HOMO–LUMO Interactions Using Spin–Orbit Coupling as Perturbation
journal, November 2015


Self-Assembled Si(111) Surface States: 2D Dirac Material for THz Plasmonics
journal, July 2015


Quantum anomalous Hall effect in graphene from Rashba and exchange effects
journal, October 2010


Low-energy effective Hamiltonian involving spin-orbit coupling in silicene and two-dimensional germanium and tin
journal, November 2011


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


Quantum Anomalous Hall Effect in 2D Organic Topological Insulators
journal, May 2013


wannier90: A tool for obtaining maximally-localised Wannier functions
journal, May 2008

  • Mostofi, Arash A.; Yates, Jonathan R.; Lee, Young-Su
  • Computer Physics Communications, Vol. 178, Issue 9
  • DOI: 10.1016/j.cpc.2007.11.016

Electrically Tunable Quantum Anomalous Hall Effect in Graphene Decorated by 5 d Transition-Metal Adatoms
journal, February 2012


Lanthanum monochloride and lanthanum sesquichloride
journal, September 1981

  • Araujo, Rafael E.; Corbett, John D.
  • Inorganic Chemistry, Vol. 20, Issue 9
  • DOI: 10.1021/ic50223a064

Two-Dimensional π -Conjugated Covalent-Organic Frameworks as Quantum Anomalous Hall Topological Insulators
journal, February 2016


Intrinsic large gap quantum anomalous Hall insulators in La X ( X = Br , Cl , I )
journal, November 2015


Quantum anomalous Hall effect
journal, December 2013

  • He, Ke; Wang, Yayu; Xue, Qi-Kun
  • National Science Review, Vol. 1, Issue 1
  • DOI: 10.1093/nsr/nwt029

Quantum anomalous Hall effect in atomic crystal layers from in-plane magnetization
journal, August 2016


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


Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit
journal, June 2017

  • Huang, Bevin; Clark, Genevieve; Navarro-Moratalla, Efrén
  • Nature, Vol. 546, Issue 7657
  • DOI: 10.1038/nature22391

Quantum anomalous Hall effect and related topological electronic states
journal, May 2015


Quantum Anomalous Hall Effect with Higher Plateaus
journal, September 2013


Engineering quantum anomalous/valley Hall states in graphene via metal-atom adsorption: An ab-initio study
journal, November 2011


In-Plane Magnetization-Induced Quantum Anomalous Hall Effect
journal, August 2013


In-plane magnetization-induced quantum anomalous Hall effect in atomic crystals of group-V elements
journal, December 2017


Precise Quantization of the Anomalous Hall Effect near Zero Magnetic Field
journal, May 2015


On the origin of magnetic anisotropy in two dimensional CrI 3
journal, June 2017


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


Prediction of Near-Room-Temperature Quantum Anomalous Hall Effect on Honeycomb Materials
journal, December 2014