Correlation and transport phenomena in topological nodal-loop semimetals

We theoretically study the unique physical properties of topological nodal-loop semimetals protected by the coexistence of time-reversal and inversion symmetries with negligible spin-orbit coupling. We argue that strong correlation effects occur at the surface of such systems for relatively small Hubbard interaction $U$, due to the narrow bandwidth of the ``drumhead'' surface states. Our Hartree-Fock and RPA calculations indicate that surface ferromagnetic and surface charge-ordered phases appear at small interactions, whose order parameters are exponentially localized at the surface. The transition from a non-ordered to a surface ferromagnetic phase is characterized by the surface-mode divergence of spin susceptibility. The quantum critical behavior of the surface ferromagnetic transition is nontrivial in the sense that the surface spin order parameter couple to Fermi-surface excitations from both surface and bulk states, leading to unconventional Landau damping and consequently a naive dynamical critical exponent $z\approx 1$. We also show that, quantum oscillations arise due to bulk states. The bulk magnetic susceptibility diverges logarithmically whenever the nodal loop exactly overlaps with a quantized magnetic orbit in the bulk Brillouin zone.