Regensburg 2022 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 22: Unconventional Superconductors
TT 22.14: Vortrag
Mittwoch, 7. September 2022, 19:00–19:15, H10
p-wave superconductivity in Luttinger semimetals — •Julia M. Link1 and Igor F. Herbut2 — 1TU Dresden, Dresden, Germany — 2Simon Fraser University, Burnaby, Canada
We consider the three-dimensional spin-orbit-coupled Luttinger semimetal of "spin" 3/2 particles in presence of weak attractive interaction in the l=1 (p-wave) channel, and determine the low-temperature phase diagram for both particle- and hole-dopings [1]. The phase diagram depends crucially on the sign of the chemical potential, with two different states (with total angular momentum j=0 and j=3) competing on the hole-doped side, and three (one j=1 and two different j=2) states on the particle-doped side. The ground state condensates of Cooper pairs with the total angular momentum j=1,2,3 are selected by the quartic, and even sextic terms in the Ginzburg-Landau free energy. Interestingly, we find that all the p-wave ground states that appear in the phase diagram, while displaying different patterns of reduction of the rotational symmetry, preserve the time reversal symmetry. The resulting quasiparticle spectrum is either fully gapped or with point nodes, with nodal lines being absent.
[1] J. M. Link and I. F. Herbut, Phys. Rev. B 105, 134522 (2022)