Generic coexistence of Fermi arcs and Dirac cones on the surface of time-reversal invariant Weyl semimetals

Abstract

The hallmark of Weyl semimetals is the existence of open constant-energy contours on their surface -- the so-called Fermi arcs -- connecting Weyl points. Here, we show that for time-reversal symmetric realizations of Weyl semimetals these Fermi arcs in many cases coexist with closed Fermi pockets originating from surface Dirac cones pinned to time-reversal invariant momenta. The existence of Fermi pockets is required for certain Fermi-arc connectivities due to additional restrictions imposed by the six ${\mathbb{Z}}_2$ topological invariants characterizing a generic time-reversal invariant Weyl semimetal. We show that a change of the Fermi-arc connectivity generally leads to a different topology of the surface Fermi surface, and identify the half-Heusler compound LaPtBi under in-plane compressive strain as a material that realizes this surface Lifshitz transition. We also discuss universal features of this coexistence in quasi-particle interference spectra.

5 pages + Supplemental Material, the updated version contains a DFT analysis of the candidate material LaPtBi

References in corpus (14)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Topological Crystalline Insulators
• Topological superconductors: a review
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Topological Semimetals
• Half-Heusler Compounds as a New Class of Three-Dimensional Topological Insulators
• Experimental realization of type-II Weyl state in non-centrosymmetric TaIrTe${}_4$
• Topological Lifshitz transitions
• Quasiparticle interference from magnetic impurities
• Coexistence of Fermi arcs with two dimensional gapless Dirac states
• Exotic surface states in hybrid structures of topological insulators and Weyl semimetals

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