Topological Weyl Semi-metal from a Lattice Model
arXiv:1202.3459 · doi:10.1209/0295-5075/97/67004
Abstract
We define and study a three dimensional lattice model which displays a Weyl semi-metallic phase. This model consists of coupled layers of quantum (anomalous) Hall insulators. The Weyl semi-metallic phase appears between a resulting quantum Hall insulating phase and a normal insulating phase. Weyl fermions in this Weyl semi-metal, similar to Dirac fermions in graphene, have their lattice pseudo-spin locked to their momenta. We investigate surface states and Fermi arcs, and their evolution for different phases, by exactly diagonalizing the lattice model as well as by analyzing their topological origins.
Accepted version for publication in EPL. 6 pages, 4 figures
References in corpus (6)
- The electronic properties of graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
- Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
- Merging of Dirac points in a two-dimensional crystal
Cited by in corpus (6)
- Topological response in Weyl semimetals and the chiral anomaly
- Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
- Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
- Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
- Friedel oscillations due to Fermi arcs in Weyl semimetals
- Electron Correlation Induced Spontaneous Symmetry Breaking and Weyl Semimetal Phase in a Strongly Spin-Orbit Coupled System