Two-dimensional topological semimetal state in a nanopatterned semiconductor system

Abstract

We propose the creation of a two-dimensional topological semimetal in a semiconductor artificial lattice with triangular symmetry. An in-plane magnetic field drives a quantum phase transition between the topological insulating and topological semimetal phases. The topological semimetal is characterized by robust band touching points which carry quantized Berry flux and edge states which terminate at the band touching points. The topological phase transition is predicted to occur at magnetic fields $\sim 4\text{T}$ in high mobility GaAs artificial lattices, and can be detected via the anomalous behaviour of the edge conductance.

5 pages, 3 figures

References in corpus (12)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Dirac Semimetals in Two Dimensions
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Engineering artificial graphene in a two-dimensional electron gas
• Dirac-point engineering and topological phase transitions in honeycomb optical lattices
• Making Massless Dirac Fermions from Patterned Two-Dimensional Electron Gases
• Fabrication and characterisation of ambipolar devices on an undoped AlGaAs/GaAs heterostructure
• Chern insulating state in laterally patterned semiconductor heterostructures

Cited by in corpus (5)

• Intrinsic first and higher-order topological superconductivity in a doped topological insulator
• Artificial Graphene: Unconventional Superconductivity in a Honeycomb Superlattice
• Topological Aspect of Graphene Patchwork with Regular Arrays of Nano Holes
• Emergent superconductivity by Re doping in type -II Weyl semimetal NiTe2
• Tuning the topological insulator states of artificial graphene