Excitonic instability and unconventional pairing in the nodal-line materials ZrSiS and ZrSiSe

Abstract

We use a functional renormalization group (fRG) approach to investigate potential interaction-induced instabilities in a two-dimensional model for the Dirac nodal-line materials ZrSiS and ZrSiSe employing model parameters derived from {\it ab initio} calculations. Our results confirm that the excitonic instability recently found in random-phase approximation for ZrSiS is indeed the leading instability. In the simplest modeling, spin- and charge-excitonic states are degenerate. Beyond this, we show that the fRG analysis produces an energy scale for the onset of the instability in good agreement with the experimentally observed mass enhancement. Additionally, by exploring the parameter space of the model we find that reducing the band splitting increases the instability scale and gives the chance to drive the system into an unconventional superconducting pairing state. The model parameters for the case of the structurally similar material ZrSiSe suggest the $d$-wave superconducting state as the leading instability with a very small critical scale.

arXiv comment5 pages, 4 figures

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• Effect of mechanical strain on the optical properties of nodal-line semimetal ZrSiS
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• Pressure-induced excitations in the out-of-plane optical response of the nodal-line semimetal ZrSiS
• Two-dimensional Dirac nodal-line semimetal protected by symmetry
• Pseudogap Formation in the Nodal-Line Semimetal NaAlGe
• Polarization-dependent excitons and plasmon activity in nodal-line semimetal ZrSiS
• Introduction to High-Temperature Superconductivity for Solid State Chemists
• Topological Semimetal KAlGe with Novel Electronic Instability