Topology of triple-point metals

doi:10.1088/1674-1056/28/7/077303

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 metallic materials into the list of the most efficient metallic thermoelectrics known to date.

Keywords: topological metals topological phonons electronic structure thermoelectrics

Received: 21 February 2019
Revised: 19 May 2019
Accepted manuscript online:

PACS:	73.20.At	(Surface states, band structure, electron density of states)
	72.90.+y	(Other topics in electronic transport in condensed matter)
	63.20.D-	(Phonon states and bands, normal modes, and phonon dispersion)
	72.15.Jf	(Thermoelectric and thermomagnetic effects)

Fund:

G. W. W. and A. A. S. were supported by Microsoft Research and the Swiss National Science Foundation (SNSF) through the National Competence Centers in Research MARVEL and QSIT. A. A. S. acknowledges the support of the SNSF Professorship grant. S.S. acknowledges the support from the Dr. Mohindar S. Seehra Research Award.

Corresponding Authors: Alexey A. Soluyanov
E-mail: asoluyan@physik.uzh.ch

Cite this article:

Georg W. Winkler, Sobhit Singh, Alexey A. Soluyanov Topology of triple-point metals 2019 Chin. Phys. B 28 077303

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