Topology of Triple-Point Metals

Abstract

We discuss and illustrate the appearance of topological fermions and bosons in triple-point metals, where a band crossing of three electronic bands occurs close to the Fermi level. Topological bosons appear in the phonon spectrum of certain triple-point metals, depending on the mass of atoms that form the binary triple-point metal. We first provide a classification of possible triple-point electronic topological phases possible in crystalline compounds and discuss the consequences of these topological phases, seen in Fermi arcs, topological Lifshitz transitions and transport anomalies. Then we show how the topological phase of phonon modes can be extracted and proven for relevant compounds. Finally, we show how the interplay of electronic and phononic topologies in triple-point metals puts these \textit{metallic} materials into the list of the most efficient \textit{metallic} thermoelectrics known to date.

arXiv admin note: substantial text overlap with arXiv:1605.04653

References in corpus (18)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Topological Photonics
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Observation of topological valley transport of sound in sonic crystals
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Weyl Semimetals, Fermi Arcs and Chiral Anomalies (A Short Review)
• Do Linear Dispersions of Classical Waves Mean Dirac Cones?
• Gate-Tunable Negative Longitudinal Magnetoresistance in the Predicted Type-II Weyl Semimetal WTe2
• Quantum oscillations, thermoelectric coefficients and the Fermi surface of semi-metallic WTe2
• Berry Phase and Topological Effects of Phonons
• MoTe2 : An uncompensated semimetal with extremely large magnetoresistance
• Spin texture on the Fermi surface of tensile strained HgTe