Spinon-Holon Statistics, and Broken Statistical Symmetry for the t-J and Hubbard Models in 2D

J. M. P. Carmelo, Karlo Penc

Tal Mor

E. Kolley, Winfried Kolley

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.

Krzysztof Byczuk, Józef Spałek

We derive the statistical distribution functions for the Hubbard chain with infinite Coulomb repulsion among particles and for the statistical spin liquid with an arbitrary magnitude of the local interaction in momentum space. Haldane's statistical interaction is derived from an exact solution for each of the two models. In the case of the Hubbard chain, the charge (holon) and the spin (spinon) excitations decouple completely and are shown to behave statistically as fermions and bosons, respectively. In both cases the statistical interaction must contain several components; a rule for the particles with the internal symmetry.

Sanjoy Kumar Sarker, H. R. Krishnamurthy, Ciriyam Jayaprakash +1 more