Spin-liquid insulators can be Landau's Fermi liquids

Abstract

The long search for insulating materials that possess low-energy quasiparticles carrying electron's quantum numbers except charge - inspired by the neutral spin-1/2 excitations, the so-called spinons, exhibited by Anderson's resonating-valence-bond state - seems to have reached a turning point after the discovery of several Mott insulators displaying same thermal and magnetic properties as metals, including quantum oscillations in a magnetic field. Here, we show that such anomalous behaviour is not inconsistent with Landau's Fermi liquid theory of quasiparticles at a Luttinger surface. That is the manifold of zeros within the Brillouin zone of the single-particle Green's function at zero frequency, and which thus defines the spinon Fermi surface conjectured by Anderson.

arXiv comment6 pages

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• Unified role of Green's function poles and zeros in topological insulators
• Topological Green's function zeros in an exactly solved model and beyond
• Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
• Deconfined quantum criticality of nodal $d$-wave superconductivity, Néel order, and charge order on the square lattice at half-filling
• Quantum oscillations in the hole-doped cuprates and the confinement of spinons
• Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals
• Quantum Oscillations in an Impurity-Band Anderson Insulator
• Pairing boost from enhanced spin-fermion coupling in the pseudogap regime
• Band structure picture for topology in strongly correlated systems with the ghost Gutzwiller ansatz
• Topological charge excitations and Green's function zeros in paramagnetic Mott insulators
• Ghost Embedding Bridging Chemistry and One-Body Theories
• Spin liquid phase in the Hubbard model: Luttinger-Ward analysis of the slave-rotor formalism
• Pseudogap in electron-doped cuprates: thermal precursor to magnetism