Quantized Anomalous Hall Insulator in a Nanopatterned Two-Dimensional Electron Gas

Abstract

We propose that a quantum anomalous Hall insulator (QAHI) can be realized in a nanopatterned two-dimensional electron gas (2DEG) with a small in-plane magnetic field and a high carrier density. The Berry curvatures originating from the in-plane magnetic field and Rashba and Dresselhaus spin-orbit coupling, in combination with a nanoscale honeycomb lattice potential modulation, lead to topologically nontrivial insulating states in the 2DEG without Landau levels. In the bulk insulating gaps, the anomalous Hall conductivity is quantized $-e^2/h$, corresponding to a finite Chern number -1. There exists one gapless chiral edge state on each edge of a finite size 2DEG.

5 pages, 5 figures, accepted for publication in Phys. Rev. B

References in corpus (11)

• Topological Insulators
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Majorana fermions in a tunable semiconductor device
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Quantum Anomalous Hall State in Bilayer Graphene
• Engineering artificial graphene in a two-dimensional electron gas
• Orbital analogue of quantum anomalous Hall effect in $p$-band systems
• Making Massless Dirac Fermions from Patterned Two-Dimensional Electron Gases
• Delocalized-localized transition in a semiconductor two-dimensional honeycomb lattice

Cited by in corpus (29)

• Proximity-induced ferromagnetism in graphene revealed by anomalous Hall effect
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Artificial graphene as a tunable Dirac material
• Quantum Anomalous Hall Effect in Graphene Proximity Coupled to an Antiferromagnetic Insulator
• Flat Chern Band in a Two-Dimensional Organometallic Framework
• Magnetic and Electronic Properties of Metal-Atom Adsorbed Graphene
• Highly-ordered wide bandgap materials for quantized anomalous Hall and magnetoelectric effects
• Microscopic theory of quantum anomalous Hall effect in graphene
• Quantum anomalous Hall effect with tunable Chern number in magnetic topological insulator film
• In-plane Magnetization Induced Quantum Anomalous Hall Effect
• Quantum anomalous Hall effect in atomic crystal layers from in-plane magnetization
• Relativistic quantum effects of Dirac particles simulated by ultracold atoms
• Prediction of Weyl semimetal, AFM topological insulator, nodal line semimetal, and Chern insulator phases in Bi2MnSe4
• Topological phases in gated bilayer graphene: Effects of Rashba spin-orbit coupling and exchange field
• Electron-Electron Interactions in Artificial Graphene
• Floquet topological insulator phase in a Weyl semimetal thin film with disorder
• Symmetry-based requirement for the measurement of electrical and thermal Hall conductivity under an in-plane magnetic field
• Quantum anomalous Hall effect on star lattice with spin-orbit coupling and exchange field
• Topological thermoelectric effects in spin-orbit coupled electron and hole doped semiconductors
• Chern insulating state in laterally patterned semiconductor heterostructures
• Two-dimensional topological semimetal state in a nanopatterned semiconductor system
• Design of a Josephson diode based on double magnetic impurities
• Switchable in-plane anomalous Hall effect by magnetization orientation in monolayer ${\mathrm{Mn}}_3{\mathrm{Si}}_2{\mathrm{Te}}_6$
• Layer Coherence Origin of Planar Hall Effect: from Charge to Multipole and Valley
• Observation of the In-plane Anomalous Hall Effect induced by Octupole in Magnetization Space
• In-plane magnetization orientation driven topological phase transition in OsCl${}_3$ monolayer
• Asymmetric Fraunhofer pattern in Josephson junctions from heterodimensional superlattice V${}_5$S${}_8$
• Magnetization-Tunable Topological Phase Transitions in Ferromagnetic Kagome Monolayers of Co${}_3$X${}_3$Y${}_2$ ($X=\mathrm{Sn},\mathrm{Pb}$; $Y=\mathrm{S},\mathrm{Se}$)
• Universal classes of disorder scatterings in in-plane anomalous Hall effect