Single-hole wave function in two dimensions: A case study of the doped Mott insulator

Abstract

We study a ground-state ansatz for the single-hole doped $t$-$J$ model in two dimensions via a variational Monte Carlo (VMC) method. Such a single-hole wave function possesses finite angular momenta generated by hidden spin currents, which give rise to a novel ground state degeneracy in agreement with recent exact diagonalization (ED) and density matrix renormalization group (DMGR) results. We further show that the wave function can be decomposed into a quasiparticle component and an incoherent momentum distribution in excellent agreement with the DMRG results up to an $8\times 8$ lattice. Such a two-component structure indicates the breakdown of Landau's one-to-one correspondence principle, and in particular, the quasiparticle spectral weight vanishes by a power law in the large sample-size limit. By contrast, turning off the phase string induced by the hole hopping in the so-called $\sigma \cdot t\text{-}J$ model, a conventional Bloch-wave wave function with a finite quasiparticle spectral weight can be recovered, also in agreement with the ED and DMRG results. The present study shows that a singular effect already takes place in the single-hole-doped Mott insulator, by which the bare hole is turned into a non-Landau quasiparticle with translational symmetry breaking. Generalizations to pairing and finite doping are briefly discussed.

arXiv comment12pages, 8figures, resubmitted

References in corpus (24)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Correlated Electrons in High Temperature Superconductors
• Photoemission Evidence for a Remnant Fermi Surface and d-Wave-Like Dispersion in Insulating Ca2CuO2Cl2
• Anomalous electronic structure and pseudogap effects in Nd_1.85Ce_0.15CuO_4
• Phase String Effect in the t-J Model: General Theory
• Asymmetry of the electronic states in hole- and electron-doped cuprates: Exact diagonalization study of the t-t'-t''-J model
• Dynamical properties of the single--hole $t$--$J$ model on a 32--site square lattice
• Dispersion of a single hole in the t-J model
• Comparison of 32-site exact diagonalization results and ARPES spectral functions for the AFM insulator $S{r}_{2}Cu{O}_{2}C{l}_2$
• On the sign structure of doped Mott insulators
• Superconducting ground state of a doped Mott insulator
• Nature of strong hole pairing in doped Mott antiferromagnets
• Strong correlation induced charge localization in antiferromagnets
• Spin Liquid State around a Doped Hole in Insulating Cuprates
• Pairing versus phase coherence of doped holes in distinct quantum spin backgrounds
• Spin-charge separation in the single hole doped Mott antiferromagnet
• Low-Temperature Pseudogap Phenomenon: Precursor of High-$T_c$ Superconductivity
• Hidden spin current in doped Mott antiferromagnets
• Two-hole ground state wavefunction: Non-BCS pairing in a $t$-$J$ two-leg ladder system
• Mott physics, sign structure, ground state wavefunction, and high-Tc superconductivity
• Exact sign structure of the $t$-$J$ chain and the single hole ground state
• Low-energy spectra in the t-J type models at light doping
• Sign structure and ground state properties for a spin-$S$ $t$-$J$ chain
• Variational wave function for an anisotropic single-hole-doped $t$-$J$ ladder

Cited by in corpus (9)

• Critical role of the sign structure in the doped Mott insulator: Superconductivity vs. Fermi liquid
• Two-Hole Ground State: Dichotomy in Pairing Symmetry
• Proposal for asymmetric photoemission and tunneling spectroscopies in quantum simulators of the triangular-lattice Fermi-Hubbard model
• From "Weak" to "Strong" Hole Confinement in a Mott Insulator
• Phenomenological Single-Particle Green's Function for the Pseudogap and Superconducting Phases of High-T${}_c$ Cuprates
• Crossover from Fermi Arc to Full Fermi Surface
• Spin Texture in Doped Mott Insulators with Spin-Orbit Coupling
• Continuous transition from a Landau quasiparticle to a neutral spinon
• Mottness, Phase String, and High-$T_c$ Superconductivity