Doped carrier formulation and mean-field theory of the tt't''J model

Abstract

In the generalized-tJ model the effect of the large local Coulomb repulsion is accounted for by restricting the Hilbert space to states with at most one electron per site. In this case the electronic system can be viewed in terms of holes hopping in a lattice of correlated spins, where holes are the carriers doped into the half-filled Mott insulator. To explicitly capture the interplay between the hole dynamics and local spin correlations we derive a new formulation of the generalized-tJ model where doped carrier operators are used instead of the original electron operators. This ``doped carrier'' formulation provides a new starting point to address doped spin systems and we use it to develop a new, fully fermionic, mean-field description of doped Mott insulators This mean-field approach reveals a new mechanism for superconductivity, namely spinon-dopon mixing, and we apply it to the tt't''J model as of interest to high-temperature superconductors. In particular, we use model parameters borrowed from band calculations and from fitting ARPES data to obtain a mean-field phase diagram that reproduces semi-quantitatively that of hole and electron doped cuprates. The mean-field approach hereby presented accounts for the local antiferromagnetic and d-wave superconducting correlations which, we show, provide a rational for the role of t' and t'' in strengthening superconductivity as expected by experiments and other theoretical approaches. As we discuss how t, t' and t'' affect the phase diagram, we also comment on possible scenarios to understand the differences between as-grown and oxygen reduced electron doped samples.

17 pages, 2 figures. Homepage http://dao.mit.edu/~wen/

References in corpus (45)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Correlated Electrons in High Temperature Superconductors
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• Quantum Orders and Symmetric Spin Liquids
• Band-structure trend in hole-doped cuprates and correlation with Tcmax
• Spin waves and electronic interactions in La2CuO4
• Theory of Underdoped Cuprates
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Nodal metallic behavior of lightly-doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Missing Quasiparticles and the Chemical Potential Puzzle in the Doping Evolution of the Cuprate Superconductors
• Pseudogap induced by short-range spin correlations in a doped Mott insulator
• Field-enhanced diamagnetism in intense magnetic field in the pseudogap state of the cuprate $\rm Bi_2Sr_2CaCu_2O_{8+δ}
• Gaussian superconducting fluctuations, thermal transport, and the Nernst effect
• An SU(2) Formulation of the t-J model: Application to Underdoped Cuprates
• Superconductivity in the two-dimensional t-J model
• Antiferromagnetic and van Hove Scenarios for the Cuprates: Taking the Best of Both Worlds
• Quasiparticle Dispersion of the 2D Hubbard Model: From an Insulator to a Metal
• High Tc Superconductors -- A Variational Theory of the Superconducting State
• Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
• Photoemission spectra of $\mathrm{S}{\mathrm{r}}_2\mathrm{Cu}{\mathrm{O}}_2\mathrm{C}{\mathrm{l}}_2$: a theoretical analysis
• Angle-resolved photoemission in high Tc cuprates from theoretical viewpoints
• Anomalous low doping phase of the Hubbard model
• The Dichotomy between Nodal and Antinodal Quasiparticles in Underdoped (La${}_{2-x}$Sr${}_x$)CuO${}_4$ Superconductors
• Asymmetry of the electronic states in hole- and electron-doped cuprates: Exact diagonalization study of the t-t'-t''-J model
• Theory of electron-hole asymmetry in doped {\em CuO${}_2$} planes
• Enhancement of Pairing Correlation by t' in the Two-Dimensional Extende d t-J Model
• Magnetic and superconducting phase diagram of electron-doped Pr${}_{1-x}$LaCe${}_x$CuO${}_4$
• Renormalized mean-field theory of the neutron scattering in cuprate superconductors
• Evolution of a Metal to Insulator Transition in Ca${}_{2-x}$Na${}_x$CuO${}_2$Cl${}_2$, as seen by ARPES
• Effects of next-nearest-neighbor hopping $t^{\prime }$ on the electronic structure of cuprates
• Spin Correlations and Magnetic Order in Nonsuperconducting Nd_{2-x}Ce_xCuO_{4\pmδ}
• Quasiparticle energy dispersion in doped two dimensional quantum antiferromagnets
• On the Nagaoka polaron in the t-J model
• Single hole dispersion relation for the real CuO${}_2$ plane
• Vorticity and the Nernst Effect in Cuprate Superconductors
• Quasiparticle dispersion of the t-J and Hubbard models
• New mean field theory of the tt't''J model applied to the high-Tc superconductors
• Spin Liquid State around a Doped Hole in Insulating Cuprates
• Nernst Effect in Electron-Doped Pr${}_{2-x}$Ce${}_x$CuO${}_4$
• Strong coupling theory for the Hubbard model
• Angle-resolved photoemission spectroscopy of Na-doped Ca2CuO2Cl2 single crystals: Fingerprints of a magnetic insulator in a heavily underdoped superconductor
• On the interpretation of the Nernst effect measurements in the cuprates
• Landau mapping and Fermi liquid parameters of the 2D t-J model
• Tunneling spectra of layered strongly correlated d-wave superconductors
• Possible Z2 phase and spin-charge separation in electron doped cuprate superconductors

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• Electromagnetic response of high-Tc superconductors -- the slave-boson and doped-carrier theories
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• Quantum topological transitions and spinons in metallic ferro- and antiferromagnets
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• The short-range correlations of a doped Mott insulator
• Hubbard Bands and Exotic States in Doped and Undoped Mott Systems: The Kotliar-Ruckenstein Representation