The dynamics of a doped hole in cuprates is not controlled by spin fluctuations

Abstract

Twenty seven years after the discovery of high-temperature superconductivity \cite{BedMu}, consensus on its theoretical explanation is still absent. To a good extent, this is due to the difficulty of studying strongly correlated systems near half-filling, needed to understand the behaviour of one or few holes doped into a CuO${}_2$ layer. To simplify this task it is customary to replace three-band models \cite{Emery} describing the doping holes as entering the O $2p$ orbitals of these charge-transfer insulators \cite{ZSA} with much simpler one-band Hubbard or $tJ$ models \cite{rev1,rev2}. Here we challenge this approach, showing that not only is the dynamics of a doped hole easier to understand in models that explicitly include the O orbitals, but also that our solution contradicts the long-held belief that the quantum spin fluctuations of the antiferromagnetic (AFM) background play a key role in determining this dynamics. Indeed, we show that the correct, experimentally observed dispersion is generically obtained for a hole moving on the O sublattice, and coupled to a Néel lattice of spins without spin fluctuations. This marks a significant conceptual change in our understanding of the relevant phenomenology and opens the way to studying few-holes dynamics without finite-size effect issues \cite{BayoB}, to understand the actual strength of the "magnetic glue".

arXiv commentFour figures

References in corpus (13)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• LDA energy bands, low-energy Hamiltonians, t', t'', t_{perp}(k), and J_{perp}
• Band-structure trend in hole-doped cuprates and correlation with Tcmax
• High-spin polaron in lightly doped CuO${}_2$ planes
• Comparison of 32-site exact diagonalization results and ARPES spectral functions for the AFM insulator $S{r}_{2}Cu{O}_{2}C{l}_2$
• Hole photoproduction in insulating copper oxide
• Universality of the Electronic Structure from a Half Filled CuO_2 Plane
• Few-particle Green's functions for strongly correlated systems on infinite lattices
• A computational approach to a doped antiferromagnet: correlations between two spin-polarons in the lightly doped CuO${}_2$ plane
• Aharonov-Bohm interference for a hole in a two-dimensional Ising antiferromagnet in a transverse magnetic field
• Magnon-mediated interactions between fermions depend strongly on the lattice structure
• Effect of orbital relaxation on the band structure of cuprate superconductors and implications for the superconductivity mechanism
• Electronic structure and self energies of randomly substituted solids using density functional theory and model calculations

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