Dispersion of Fermi arcs in Weyl semimetals and their evolutions to Dirac cones

Abstract

We study dispersions of Fermi arcs in the Weyl semimetal phase by constructing a simple effective model. We calculate how the surface Fermi-arc dispersions for the top- and bottom surfaces merge into the bulk Dirac cones in the Weyl semimetal at both ends of the arcs, and show that they have opposite velocities. This result is also confirmed by a calculation using a tight-binding model. Furthermore, by changing a parameter in the system while preserving time-reversal symmetry, we show that two Fermi arcs evolve into a surface Dirac cone when the system transits from the Weyl semimetal to the topological insulator phase. We also demonstrate that choices of surface terminations affect the pairing of Weyl nodes, from which the Fermi arcs are formed.

8 pages, 5 figures

References in corpus (6)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Universal phase diagrams for the quantum spin Hall systems

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