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Mean-field equations with combined spinon and holon pairings in the t-J model

E. Kolley, Winfried Kolley

Physics Letters ASep 1, 19904 citations

Non-identical anyons and new statistics for spinons and holons

Tal Mor

Physics Letters ADec 1, 19931 citation

Flux States, Anyons and High T c Superconductivity

Jian-Bin Wu, Wen-Zhou Li, He-Ping Ying +1 more

In this paper, we studied the statistical behavior of anyons with isospin degrees of freedom, in which the fluctuation of isospin degrees of freedom satisfies the O(3) nonlinear σ model. Under the mean field treatment, this model is in somewhat equivalent to the doped or frustrated Heisenberg antiferromagnetic (AFM) model. We also studied the relation between the statistical field A μ , and Skyrmion current B μ . Finally, we set up the relation between flux states and spinon statistics, and the conditions of Bose condensation of holons. In particular, for π -flux state of A μ , the spinons are bosons, the holons satisfy 2/3 fractional statistics.In this paper, we studied the statistical behavior of anyons with isospin degrees of freedom, in which the fluctuation of isospin degrees of freedom satisfies the O(3) nonlinear σ model. Under the mean field treatment, this model is in somewhat equivalent to the doped or frustrated Heisenberg antiferromagnetic (AFM) model. We also studied the relation between the statistical field A μ , and Skyrmion current B μ . Finally, we set up the relation between flux states and spinon statistics, and the conditions of Bose condensation of holons. In particular, for π -flux state of A μ , the spinons are bosons, the holons satisfy 2/3 fractional statistics.

Communications in Theoretical PhysicsMar 1, 19920 citations

Chiral spin state and anyons in extended t−J model

Hidetoshi Fukuyama, Osamu Narikiyo, Kazuhiro Kuboki

Journal of Magnetism and Magnetic MaterialsDec 1, 19900 citations

Flux states for the infinite-Ulimit of the Hubbard model

S. E. Barnes

For finite doping, \ensuremath{\delta}, relative to half filling, it is shown, within the confines of a mean-field auxiliary-operator formulation, for the strictly infinite-U, i.e., J=0, limit of the two-dimensional Hubbard model, that the spinons generate a fictitious magnetic flux to which holons are subject and vice versa. For small doping, a flux state is the absolute ground state and has 1-\ensuremath{\delta}=2p/q, where p/q is a rational fraction and the flux per plaquette is \ensuremath{\Phi}=(p/q)${\mathrm{\ensuremath{\Phi}}}_{0}$, where ${\mathrm{\ensuremath{\Phi}}}_{0}$ is the flux quantum. This phenomenon can be viewed upon as an all-electron Peierls instability or as broken statistical symmetry.For finite doping, \ensuremath{\delta}, relative to half filling, it is shown, within the confines of a mean-field auxiliary-operator formulation, for the strictly infinite-U, i.e., J=0, limit of the two-dimensional Hubbard model, that the spinons generate a fictitious magnetic flux to which holons are subject and vice versa. For small doping, a flux state is the absolute ground state and has 1-\ensuremath{\delta}=2p/q, where p/q is a rational fraction and the flux per plaquette is \ensuremath{\Phi}=(p/q)${\mathrm{\ensuremath{\Phi}}}_{0}$, where ${\mathrm{\ensuremath{\Phi}}}_{0}$ is the flux quantum. This phenomenon can be viewed upon as an all-electron Peierls instability or as broken statistical symmetry.

Physical review. B, Condensed matterJul 1, 19912 citations

t-J model in slave fermion formulation-holon-holon interactions

Tzanko Ivanov

Physics Letters AApr 1, 19907 citations

The t-J model: Anyons, flux states, spinons, holons, and all that

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The t-J model: Anyons, flux states, spinons, holons, and all that

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