Superconducting ground state of a doped Mott insulator

Abstract

A d-wave superconducting ground state for a doped Mott insulator is obtained. It is distinguished from a Gutzwiller-projected BCS superconductor by an explicit separation of Cooper pairing and resonating valence bond (RVB) pairing. Such a state satisfies the precise sign structure of the t-J model, just like that a BCS state satisfies the Fermi-Dirac statistics. This new class of wavefunctions can be intrinsically characterized and effectively manipulated by electron fractionalization with neutral spinons and backflow spinons forming a two-component RVB structure. While the former spinon is bosonic, originated from the superexchange correlation, the latter spinon is found to be fermionic, accompanying the hopping of bosonic holons. The low-lying emergent gauge fields associated with such a specific fractionalization are of mutual Chern-Simons type. Corresponding to this superconducting ground state, three types of elementary excitations are identified. Among them a Bogoliubov nodal quasiparticle is conventional, while the other two are neutral excitations of non-BCS type that play crucial roles in higher energy/temperaure regimes. Their unique experimental implications for the cuprates are briefly discussed.

22 pages, 2 figures

References in corpus (7)

• Condensation, excitation, pairing, and superfluid density in high-$T_c$ superconductors: magnetic resonance mode as a roton analogue and a possible spin-mediated pairing
• On the sign structure of doped Mott insulators
• Mutual-Chern-Simons effective theory of doped antiferromagnets
• Universal Behavior and the Two-component Character of Magnetically Underdoped Cuprate Superconductors
• Phase String Theory for Doped Antiferromagnets
• Lower Pseudogap Phase: A Spin/Vortex Liquid State
• Bosonic resonating valence bond wave function for doped Mott insulators

Cited by in corpus (34)

• Evidence for hidden fermion that triggers high-temperature superconductivity in cuprates
• Luttinger-volume violating Fermi liquid in the pseudogap phase of the cuprate superconductors
• Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice $t$-$J$ Model
• Quasiparticle collapsing in an anisotropic $t$-$J$ ladder
• Pairing versus phase coherence of doped holes in distinct quantum spin backgrounds
• Two-Hole Ground State: Dichotomy in Pairing Symmetry
• Superconducting valence bond fluid in lightly doped 8-leg $t$-$J$ cylinders
• Global Phase Diagram of D-wave Superconductivity in the Square-Lattice $t\text{-}J$ Model
• Sign Structure, Electron Fractionalization, and Emergent Gauge Description of the Hubbard Model
• Hidden spin current in doped Mott antiferromagnets
• Two-hole ground state wavefunction: Non-BCS pairing in a $t$-$J$ two-leg ladder system
• Single-hole wave function in two dimensions: A case study of the doped Mott insulator
• Mott physics, sign structure, ground state wavefunction, and high-Tc superconductivity
• Superconductivity in doped triangular Mott insulators: the roles of parent spin backgrounds and charge kinetic energy
• Anomalous doping evolution of nodal dispersion revealed by in-situ ARPES on continuously doped cuprates
• Superconductivity in Mutual Chern-Simons Gauge Theory
• Dynamical slave-boson mean-field study of the Mott transition in the Hubbard model in the large-$z$ limit
• Phenomenological Single-Particle Green's Function for the Pseudogap and Superconducting Phases of High-T${}_c$ Cuprates
• Universal Subspaces for Local Unitary Groups of Fermionic Systems
• Crossover from Fermi Arc to Full Fermi Surface
• Pair density wave characterized by a hidden string order parameter
• Spin Texture in Doped Mott Insulators with Spin-Orbit Coupling
• Thermal Hall Effect and Neutral Spinons in a Doped Mott Insulator
• Two-band model and RVB-type states: application to Kondo lattices, pyrochlores and Mn-based systems
• Electric transport in doped Mott insulators dictated by a non-Ioffe-Larkin composition rule and spinons
• Phase diagram for Hole-Doped Kitaev System on the Honeycomb Lattice
• Mottness, Phase String, and High-$T_c$ Superconductivity
• Continuous transition from a Landau quasiparticle to a neutral spinon
• Intrinsic phase fluctuation and superfluid density in doped Mott insulators
• "Half-Bogoliubons" as the intermediate states for the phase coherence in underdoped cuprates
• Effect of phase string on single-hole dynamics in the two-leg Hubbard ladder
• Quantum entanglement in the t-J chain: From charge-spin separation to recombination
• Terahertz nonlinear response in cuprate superconductors and the Higgs field in doped Mott insulators
• An Emergent World of Gauge Force and Partons