Crystalline Weyl semimetal phase in Quantum Spin Hall systems under magnetic fields

2019/05/25 by Fernando Dominguez, Fernando Domínguez, Benedikt Scharf +1
Materials Science · Physics and Astronomy · #Band gap #Condensed matter physics #Gapless playback #Geometry #Graphene research and applications #Homogeneous space #Magnetic field #Phase transition #Physics #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum phase transition #Quantum phases #Quantum spin Hall effect #Semimetal #Symmetry (geometry) #Topological Materials and Phenomena #Topological insulator #Topological order #Topology (electrical circuits) #Weyl semimetal #cond-mat.mes-hall

paper · pdf · doi:10.21468/scipostphyscore.5.2.024

published in SciPost Physics Core 5(2) (SciPost.org) · 22 pages, comments are welcome

openalex publication_date 2022/04/28 · arxiv created 2022/04/29 · arxiv updated 2022/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We investigate an unconventional topological phase transition that occurs in quantum spin Hall (QSH) systems when applying an external in-plane magnetic field. We show that this transition between QSH and trivial insulator phases is separated by a stable topological gapless phase, which is protected by the combination of particle-hole and reflection symmetries, and thus, we dub it as crystalline Weyl semimetal. We explore the stability of this new phase when particle-hole symmetry breaking terms are present. Especially, we predict a robust unconventional topological phase transition to be visible for materials described by the Kane and Mele model even if particle-hole symmetry is significantly broken.

Citations

• Chern Semimetal and the Quantized Anomalous Hall Effect inHgCr2Se4
• Classification of topological quantum matter with symmetries
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Charge Transport in Weyl Semimetals
• Many-body physics with ultracold gases
• Time-reversal invariant realization of the Weyl semimetal phase
• Spin polarization of the quantum spin Hall edge states
• Evidence for Helical Edge Modes in InvertedInAs/GaSbQuantum Wells
• A no-go theorem for regularizing chiral fermions
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Z2Topological Order and the Quantum Spin Hall Effect
• The electronic properties of graphene
• Discovery of a Weyl fermion semimetal and topological Fermi arcs
• The Quantum Spin Hall Effect: Theory and Experiment
• Chiral anomaly and classical negative magnetoresistance of Weyl metals
• Unpaired Majorana fermions in quantum wires
• Topological Dirac States beyond π-Orbitals for Silicene on SiC(0001) Surface
• Electronic transport and the related anomalous effects in silicene-like hexagonal lattice