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Superconductivity from piezoelectric interactions in Weyl semimetals

Pereira, R. G., Buccheri, F., De Martino, A. ORCID: 0000-0002-3656-0419 and Egger, R. (2019). Superconductivity from piezoelectric interactions in Weyl semimetals. Physical Review B, 100(3), 035106.. doi: 10.1103/PhysRevB.100.035106

Abstract

We present an analytical low-energy theory of piezoelectric electron-phonon interactions in undoped Weyl semimetals, taking into account also Coulomb interactions. We show that piezoelectric interactions generate a long-range attractive potential between Weyl fermions. This potential comes with a characteristic angular anisotropy. From the one-loop renormalization group approach and a mean-field analysis, we predict that superconducting phases with either conventional s-wave singlet pairing or nodal-line triplet pairing could be realized for sufficiently strong piezoelectric coupling. For small couplings, we show that the quasiparticle decay rate exhibits a linear temperature dependence where the prefactor vanishes only in a logarithmic manner as the quasiparticle energy approaches the Weyl point. For practical estimates, we consider the Weyl semimetal TaAs.

Publication Type: Article
Subjects: Q Science > QC Physics
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/22651
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