Coulomb-induced instabilities of nodal surfaces

Abstract

We consider the stability of nodal surfaces in fermionic band systems with respect to the Coulomb repulsion. It is shown that nodal surfaces at the Fermi level are gapped out at low temperatures due to emergent particle-hole orders. Energy dispersion of the nodal surface suppresses the instability through an inhomogenous phase. We argue that around criticality the order parameter fluctuations can induce superconductivity. We show that by tuning doping and disorder one could access various phases, establishing fermionic nodal surface systems as a versatile platform to study emergent quantum orders.

References in corpus (18)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological response in Weyl semimetals and the chiral anomaly
• Chiral anomaly and transport in Weyl metals
• Nodal surface semimetals: Theory and material realization
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
• Robust doubly charged nodal lines and nodal surfaces in centrosymmetric systems
• Ultra-cold Polarized Fermi Gases
• Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
• Electron screening and excitonic condensation in double-layer graphene systems
• Interplay between magnetism and superconductivity in Fe-pnictides
• Valley density-wave and multiband superconductivity in Fe-pnictides
• Inflated nodes and surface states in superconducting half-Heusler compounds
• Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids
• Weyl nodal surfaces
• Excitonic Instability and Pseudogap Formation in Nodal Line Semimetal ZrSiS
• Pseudo Dirac Nodal Sphere: Unusual Electronic Structure and Material Realization
• Topologically Charged Nodal Surface

Cited by in corpus (10)

• Non-abelian topology of nodal-line rings in $\mathcal{P}\mathcal{T}$-symmetric systems
• Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric
• Excitonic instability and unconventional pairing in the nodal-line materials ZrSiS and ZrSiSe
• Instability of $j=3/2$ Bogoliubov Fermi-surfaces
• Multiband Quantum Criticality of Polar Metals
• Failed excitonic quantum phase transition in Ta${}_2$Ni(Se${}_{1-x}$S${}_x$)${}_5$
• Superconductivity from piezoelectric interactions in Weyl semimetals
• Possible instabilities in quadratic and cubic nodal line fermion systems with correlated interactions
• Linking structures of doubly charged nodal surfaces in centrosymmetric superconductors
• Floquet Analysis on an Irradiated Nodal Surface Semimetal with Non-Symmorphic Symmetry