Model of Quantum Criticality in He3 bilayers Adsorbed on graphite

Abstract

Recent experiments on He3 bilayers adsorbed on Graphite have shown striking quantum critical properties at the point where the first layer localizes. We model this system with the Anderson lattice plus inter-layer Coulomb repulsion in two dimensions. Assuming that quantum critical fluctuations come from a vanishing of the effective hybridization, we can reproduce several features of the system, including the apparent occurrence of two quantum critical points (QCP), the variation of the effective mass and coherence temperature with coverage.

4 pages, 2 figures, new version as published on PRL, journal reference and DOI added

References in corpus (6)

• Fractionalized Fermi liquids
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Spin Liquid in the Multiple-Spin Exchange model on the Triangular lattice: 3He on graphite
• Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice
• Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
• Singular perturbation theory for interacting fermions in two dimensions

Cited by in corpus (10)

• Orbital-selective Mott transitions: Heavy fermions and beyond
• Selective Mott transition and heavy fermions
• Orbital-selective Mott transition and heavy fermion behavior in a bilayer Hubbard model for 3He
• Quantum critical Mott transitions in a bilayer Kondo insulator-metal model system
• Ring-exchange periodic Anderson model for 3He bilayers
• Signature of Kondo breakdown quantum criticality in optical conductivity
• Designing Heterostructures with Higher Temperature Superconductivity
• Activation gap in the specific heat measurements for He${}^3$ bi-layers
• He3 bi-layers as a simple example of de-confinement
• Selective Kondo screening and strange metallicity by sliding Dirac semimetals