A resonant valence bond spin liquid in the dilute limit of doped frustrated Mott insulators

Abstract

Ideas about resonant valence bond liquids and spin-charge separation have led to key concepts in physics such as quantum spin liquids, emergent gauge symmetries, topological order, and fractionalisation. Despite extensive efforts to demonstrate the existence of a resonant valence bond phase in the Hubbard model that originally motivated the concept, a definitive realisation has yet to be achieved. Here we present a solution to this long-standing problem by uncovering a resonant valence bond phase exhibiting spin-charge separation in realistic Hamiltonians. We show analytically that this ground state emerges in the dilute-doping limit of a half-filled Mott insulator on corner-sharing tetrahedral lattices with frustrated hopping, in the absence of exchange interactions. We confirm numerically that the results extend to finite exchange interactions, finite-sized systems and finite dopant density. Although much attention has been devoted to the emergence of unconventional states from geometrically frustrated interactions, our work demonstrates that kinetic energy frustration in doped Mott insulators may be essential for stabilising robust, topologically ordered states in real materials.

References in corpus (12)

• The density-matrix renormalization group in the age of matrix product states
• Fractionalized Fermi liquids
• Resonating valence bond states in the PEPS formalism
• Kinetic Magnetism in Triangular Moiré Materials
• Enhanced weak ferromagnetism and conductivity in hole-doped pyrochlore iridate Y2Ir2O7
• Phonon thermal Hall effect in a metallic spin ice
• Fragmented monopole crystal, dimer entropy and Coulomb interactions in Dy${}_2$Ir${}_2$O${}_7$
• Enhanced pairing in doped quantum magnets with frustrating hole motion
• Exact Hole-induced Resonating-Valence-Bond Ground State in Certain $U=\infty$ Hubbard Models
• Strong ferromagnetic fluctuations in a doped checkerboard lattice
• Magnonic Superconductivity
• Magnetic effects of non-magnetic impurities in gapped short-range resonating valence bond spin liquids

Cited by in corpus (4)

• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Shaping Magnetic Order by Local Frustration for Itinerant Fermions on a Graph
• Multistage development of short-range spin correlations and weak magnetic order in the two coupled trillium lattices of K2Fe2(MoO4)(PO4)2
• Spin-spiral instability of the Nagaoka ferromagnet in the crossover between square and triangular lattices