Chern Semimetal and the Quantized Anomalous Hall Effect inHgCr2Se4

2011/06/30 by Gang Xu, Hongming Weng, Zhijun Wang +2 · 35 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Band gap #Boundary (topology) #Condensed matter physics #Fermi surface #Fermion #Graphene research and applications #Physics #Position and momentum space #Quantum mechanics #Realization (probability) #Semimetal #Statistics #Superconductivity #Topological Materials and Phenomena #Topology (electrical circuits) #Weyl semimetal #cond-mat.mes-hall #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevlett.107.186806

published as Phys. Rev. Lett. 107, 186806 (2011) · Published on Phys. Rev. Lett. [5 pages, 4 figures]

openalex publication_date 2011/10/27 · arxiv created 2011/11/25 · arxiv updated 2012/02/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In 3D momentum space, a topological phase boundary separating the Chern insulating layers from normal insulating layers may exist, where the gap must be closed, resulting in a "Chern semimetal" state with topologically unavoidable band crossings at the Fermi level. This state is a condensed-matter realization of Weyl fermions in (3+1)D, and should exhibit remarkable features, such as magnetic monopoles and Fermi arcs. Here we predict, based on first principles calculations, that such a novel quantum state can be realized in a known ferromagnetic compound HgCr2Se4, with a single pair of Weyl fermions separated in momentum space. The quantum Hall effect without an external magnetic field can be achieved in its quantum-well structure.

Citations

• Quantum Anomalous Hall Effect inHg1−yMnyTeQuantum Wells
• Inversion-symmetric topological insulators
• Momentum space topology of fermion zero modes brane
• Anomalous Hall effect
• Quantized Hall Conductance in a Two-Dimensional Periodic Potential
• Topological Nature of Anomalous Hall Effect in Ferromagnets

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