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Time-reversal symmetry breaking and d-wave superconductivity of triple-point fermions

Subrata Mandal, Julia M. Link, Igor F. Herbut

DOI 10.1103/PhysRevB.104.134512 · Physical Review B

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Abstract

We study the possibility of complex tensor (d-wave) superconducting order in three-dimensional semimetals with chiral spin-1/2 triple-point fermions, which have an effective orbital angular momentum of L=1 arising from a crossing of three bands. Retaining the first three lowest order terms in momentum and assuming rotational symmetry we show that the resulting mean-field d-wave ground state breaks time-reversal symmetry, but then depends crucially on the coefficients of the two quadratic terms in the Hamiltonian. The phase diagram at a finite chemical potential displays both the “cyclic” and the “ferromagnetic” superconducting states, distinguished by the average value of the magnetization; in the former state it is minimal (zero), whereas in the latter it is maximal (two). In both states we find mini Bogoliubov-Fermi surfaces in the quasiparticle spectrum, conforming to recent general arguments.

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FormulaReported Tc (K)Pressure (GPa)Type
PdSb2

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—Pressure not reportedunknown

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