Exact solution of a two-species quantum dimer model for pseudogap metals

Abstract

We present an exact ground state solution of a quantum dimer model introduced in Ref.[1], which features ordinary bosonic spin-singlet dimers as well as fermionic dimers that can be viewed as bound states of spinons and holons in a hole-doped resonating valence bond liquid. Interestingly, this model captures several essential properties of the metallic pseudogap phase in high-$T_c$ cuprate superconductors. We identify a line in parameter space where the exact ground state wave functions can be constructed at an arbitrary density of fermionic dimers. At this exactly solvable line the ground state has a huge degeneracy, which can be interpreted as a flat band of fermionic excitations. Perturbing around the exactly solvable line, this degeneracy is lifted and the ground state is a fractionalized Fermi liquid with a small pocket Fermi surface in the low doping limit.

Revised version, 8 pages

References in corpus (12)

• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Fractionalized Fermi liquids
• Cyclic exchange, isolated states and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice
• Competing orders II: the doped quantum dimer model
• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
• Doping quantum dimer models on the square lattice
• Properties of holons in the Quantum Dimer Model
• Quasiparticle spectral weights of Gutzwiller-projected high T_c superconductors
• Electron spectral functions in a quantum dimer model for topological metals
• Fermionic quantum dimer and fully-packed loop models on the square lattice
• Single hole and vortex excitations in the doped Rokhsar-Kivelson quantum dimer model on the triangular lattice
• SU(2) approach to the pseudogap phase of high-temperature superconductors: electronic spectral functions

Cited by in corpus (12)

• Topological order, emergent gauge fields, and Fermi surface reconstruction
• From the pseudogap metal to the Fermi liquid using ancilla qubits
• Metal to Orthogonal Metal Transition
• Small to large Fermi surface transition in a single band model, using randomly coupled ancillas
• Fermi arcs and pseudogap in a lattice model of a doped orthogonal metal
• A slave boson description of pseudogap metals in t-J models
• Bond particle theory for the pseudogap phase of underdoped cuprates
• Fractional Fermi liquid in a generalized $t-J$ model
• Fractionalized Fermi liquids and the cuprate phase diagram
• Signatures of correlated magnetic phases in the local two-particle density matrix
• Solvable lattice models for metals with Z2 topological order
• Quantum oscillations and criticality in a fermionic and bosonic dimer model for the cuprates