Filling-enforced Kondo semimetals in two-dimensional non-symmorphic crystals

Abstract

We study the competition between Kondo screening and frustrated magnetism on the non-symmorphic Shastry-Sutherland Kondo lattice at a filling of two conduction electrons per unit cell. A previous analysis of this model identified a set of gapless partially Kondo screened phases intermediate between the Kondo-destroyed paramagnet and the heavy Fermi liquid. Based on crystal symmetries, we argue that (i)~both the paramagnet and the heavy Fermi liquid are {\it semimetals} protected by a glide symmetry; and (ii)~partial Kondo screening breaks the symmetry, removing this protection and allowing the partially-Kondo-screened phase to be deformed into a Kondo insulator via a Lifshitz transition. We confirm these results using large-$N$ mean field theory and then use non-perturbative arguments to derive a generalized Luttinger sum rule constraining the phase structure of 2D non-symmorphic Kondo lattices beyond the mean-field limit.

5 pages, 3 figures + Supplemental Material 2 pages

References in corpus (9)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Quantum criticality
• Heavy Fermions and Quantum Phase Transitions
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Frustration and the Kondo effect in heavy fermion materials
• Characteristic signatures of quantum criticality driven by geometrical frustration
• Yb${}_2$Pt${}_2$Pb: Magnetic frustration in the Shastry-Sutherland lattice
• Signature of frustrated moments in quantum critical CePd${}_{1-x}$Ni${}_x$Al

Cited by in corpus (7)

• Weyl-Kondo Semimetal in Heavy Fermion Systems
• Kondo lattice model in magic-angle twisted bilayer graphene
• Weyl-Kondo semimetals in nonsymmorphic systems
• Quantum Monte Carlo Simulation of Frustrated Kondo Lattice Models
• Topological Kondo semimetal and insulator in AB-stacked heterobilayer transition metal dichalcogenides
• Topological phases of non-symmorphic crystals : Shastry-Sutherland lattice at integer filling
• Topological Kondo semimetals emulated in hetero-bilayer transition metal dichalcogenides