Fermion-Spin Transformation to Implement the Charge-Spin Separation

Abstract

A novel approach, the fermion-spin transformation to implement the charge-spin separation, is developed to study the low-dimensional $t$-$J$ model. In this approach, the charge and spin degrees of freedom of the physical electron are separated, and the charge degree of freedom is represented by a spinless fermion while the spin degree of freedom is represented by a {\it hard-core boson}. The on-site local constraint for single occupancy is satisfied even in the mean-field approximation and the sum rule for the physical electron is obeyed. This approach can be applied to both one and two-dimensional systems. In the one-dimensional case, the spinon as well as the physical electron behaves like Luttinger liquids. We have obtained a gapless charge and spin excitation spectrum, a good ground state energy, and a reasonable electron-momentum distribution within the mean-field approximation. The correct exponents of the correlation functions and momentum distribution are also obtained if the {\it squeezing} effect and rearrangement of the spin configurations are taken into account. In the two-dimensional case, within the mean-field approximation the magnetized flux state with a gap in the spinon spectrum has the lowest energy at half-filling. The antiferromagnetic long-range order is destroyed by hole doping

REVTEX (42 pages, eight figures upon request), International Centre for Theoretical Physics preprint IC/93/354 (accepted for publication in Physical Review B)

References in corpus (1)

• Slave Particle Studies of the Electron Momentum Distribution in the Low Dimensional $t-J$ Model

Cited by in corpus (72)

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• U(1)xSU(2) Chern--Simons gauge theory of underdoped cuprate superconductors
• Electronic structure of kinetic energy driven cuprate superconductors
• Electronic structure of cuprate superconductors in a full charge-spin recombination scheme
• Theory of high energy features in angle-resolved photo-emission spectra of hole-doped cuprates
• Canonical representation for electrons and its application to the Hubbard model
• Charge Dynamics from Copper Oxide Materials
• Mott-moiré excitons
• Doping and temperature dependence of incommensurate antiferromagnetism in underdoped lanthanum cuprates
• Enhancement of superconducting transition temperature by the additional second neighbor hopping t' in the t-J model
• Charge transport of electron doped Mott insulators on a triangular lattice
• Universal Spin Response in Copper Oxide Materials
• Doping dependence of charge order in electron-doped cuprate superconductors
• Anomalous spin-charge separation in a driven Hubbard system
• Asymmetry of the electron spectrum in hole-doped and electron-doped cuprates
• Peak-structure in self-energy of cuprate superconductors
• Kinetic energy driven superconductivity in the electron doped cobaltate Na${}_x$CoO${}_2\cdot y$H${}_2$O
• The square-lattice quantum liquid of charge c fermions and spin-neutral two-spinon s1 fermions
• Anisotropic dressing of electrons in electron-doped cuprate superconductors
• Dynamical spin response in cuprate superconductors from low-energy to high-energy
• Low-temperature T-linear resistivity in the strange metal phase of overdoped cuprate superconductors due to umklapp scattering from a spin excitation
• Phase diagram of the Hubbard model on a honeycomb lattice: A cluster slave-spin study
• On representation of the t-J model via spin-charge variables
• Charge transport in underdoped bilayer cuprates
• Optical and transport properties in doped two-leg ladder antiferromagnet
• Pseudogap-induced anisotropic suppression of electronic Raman response in cuprate superconductors
• The charge asymmetry in superconductivity of hole- and electron-doped cuprates
• Influence of impurities on electronic structure in cuprate superconductors
• Enhancement of superconductivity by electronic nematicity in cuprate superconductors
• Low-temperature T${}^2$ resistivity in the underdoped pseudogap phase versus T-linear resistivity in the overdoped strange-metal phase of cuprate superconductors
• ARPES autocorrelation in electron-doped cuprate superconductors
• Pseudogap and charge dynamics in doped cuprates
• The $SO(3)\times SO(3)\times U(1)$ Hubbard model on a square lattice in terms of $c$ and $\alpha \nu$ fermions and deconfined $\eta$-spinons and spinons
• The breakdown of the mean-field description of the Nagaoka phase
• Energy dependence of commensurate neutron scattering peak in doped two-leg ladder antiferromagnet Sr_{14-x}Ca_{x}Cu_{24}O_{41}
• Spin Dynamics for the t-J Model
• BCS-type mean-field theory for t-J model in su(2|1) superalgebra representation
• Characteristic energy of the nematic-order state and its connection to enhancement of superconductivity in cuprate superconductors
• Renormalization of electrons in bilayer cuprate superconductors
• Quasiparticle scattering interference in cuprate superconductors
• Phase diagram of the Hubbard model on a square lattice: A cluster slave-spin study
• Pseudogap-induced asymmetric tunneling in cuprate superconductors
• Doping dependence of Meissner effect in triangular-lattice superconductors
• Thermal conductivity in the doped two-leg ladder antiferromagnet Sr${}_{14-x}$Ca${}_x$Cu${}_{24}$O${}_{41}$
• Unusual heat transport in underdoped cuprates
• Doping dependence of electromagnetic response in cuprate superconductors
• Convergence of energy-dependent incommensurate antiferromagnetic neutron scattering peaks to commensurate resonance in underdoped bilayer cuprates
• Charge dynamics in doped triangular antiferromagnets
• Anomalous c-axis charge dynamics in copper oxide materials
• Coexistence of the Electron Cooper Pair and Antiferromagnetic Short-Range Correlation in Copper Oxide Materials
• Spin dynamics in the pressure-induced two-leg ladder cuprate superconductor Sr${}_{14-x}$Ca${}_x$Cu${}_{24}$O${}_{41}$
• Electronic properties of the doped antiferromagnet on a kagome lattice
• Thermodynamic properties in triangular-lattice superconductors
• Limitations of the mean field slave-particle approximations
• Doping dependence of charge dynamics in electron-doped cuprates
• Evolution of electron Fermi surface with doping in cobaltates
• Unusual electronic structure in underdoped cuprate superconductors
• A Field Theory Approach to the $t$-$J$ Model and the Spin-Charge Separation
• Indications of incommensurate spin fluctuations in doped triangular antiferromagnets
• Optical Conductivity in the Copper Oxide Materials
• Effect of the additional second neighbor hopping on the charge dynamics in the t-J model
• Momentum and doping dependence of spin excitations in electron-doped cuprate superconductors
• The effects of Zn Impurity on the Properties of Doped Cuprates in the Normal State
• Microwave conductivity due to impurity scattering in cuprate superconductors
• Impurity-Scattering Assisted Umklapp Scattering as the Origin of Low-Temperature Resistivity in the Normal-State of Cuprate Superconductors
• Superconductivity and magnetic fluctuations in electron-doped cobaltate superconductors
• Renormalization of dispersion in electron-doped bilayer cuprate superconductors
• Electromagnetic response of cuprate superconductors with coexisting electronic nematicity
• Momentum and doping dependence of the electron spectrum and ($\pi$,0) feature in copper oxide materials