Pseudospin 3/2 Fermions, Type-II Weyl Semimetals and Critical Weyl Semimetals in Tricolor Cubic Lattice

Abstract

Multi-band touchings such as 3-band, 6-band and 8-band touchings together with the emergence of high pseudospin fermions were predicted recently at high-symmetry points in three-dimensional space. In this paper, we propose a simple cubic model whose unit cell contains three atoms. There are 6 bands in the system due to the spin degrees of freedom. The 4-band and 2-band touchings are realized at high-symmetry points, where we derive low-energy theories, demonstrating the emergence of pseudospin-3/2 fermions and Weyl fermions, respectively. Away from the high-symmetry points, we find critical Weyl fermions present exactly at the boundary between the type-I and type-II Weyl fermions. This critical Weyl fermion transforms into the type-I or type-II Weyl fermion once the magnetic field is applied.

5 pages, 6 figures

References in corpus (5)

• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Gate-Tunable Negative Longitudinal Magnetoresistance in the Predicted Type-II Weyl Semimetal WTe2
• Simplified topological invariants for interacting insulators
• Topological Crystalline Insulators and Dirac Octets in Anti-perovskites
• Magnetotransport properties of the type II Weyl semimetal candidate Ta3S2

Cited by in corpus (20)

• Multiple types of topological fermions in transition metal silicides
• Crystal growth and quantum oscillations in the topological chiral semimetal CoSi
• Berry Curvature and Quantum Metric in $N$-band systems -- an Eigenprojector Approach
• Quasiparticle Interference Evidence of the Topological Fermi Arc States in Chiral Fermionic Semimetal CoSi
• Direct observation of handedness-dependent quasiparticle interference in the two enantiomers of topological chiral semimetal PdGa
• Robust Marginal Fermi Liquid In Birefringent Semimetals
• Four-dimensional semimetals with tensor monopoles: From surface states to topological responses
• Transmission and conductance across junctions of isotropic and anisotropic three-dimensional semimetals
• Topology and symmetry of circular photogalvanic effect in the chiral multifold semimetals: a review
• Atomically Sharp Internal Interface in a Chiral Weyl Semimetal Nanowire
• Quantum oscillations and electronic structure in the large-Chern number topological chiral semimetal PtGa
• Quantum oscillations and electronic structures in large Chern number semimetal RhSn
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Fundamental laws of chiral band crossings: local constraints, global constraints, and topological phase diagrams
• Electronic correlations effect on nontrivial topological fermions in CoSi
• Quantum oscillations and weak anisotropic resistivity in the chiral Fermion semimetal PdGa
• Gapless vortex bound states in superconducting topological semimetals
• Triply degenerate nodal lines in topological and non-topological metals
• Theory of Photocurrent and High-Harmonic Generation with Chiral Fermions
• Infrared fixed points of higher-spin fermions in topological semimetals