Confinement in the Three-dimensional Anisotropic $t$-$J$ Model

Details Confinement in the Three-dimensional Anisotropic $t$-$J$ Model Confinement in the Three-dimensional Anisotropic $t$-$J$ Model

1995-03-30

arxiv.org/abs/cond-mat/9503162v1

Physics

Condensed Matter

Latex file. 7 pages. 2 figures available on request. (ssarker@ua1vm.ua.edu)

Scientific paper

10.1016/0022-3697(95)00186-7

The normal-state resistivity of the cuprate superconductors is metallic in the $ab$ plane but is characteristic of an insulator along the $c$ direction, leading to the possibility of the remarkable phenomenon of confinement. By continuity, such a behavior is not expected to occur in a Fermi liquid. We consider the anisotropic $t$-$J$ model with the c-axis parameters $t_c$ and $J_c$ different from their in-plane counterparts, $t$ and $J$. Within the slave-fermion mean-field approximation it is shown that the spiral state exhibits charge-confinement in the intermediate $\delta$ regime for a range of values of $t_c/t$. In the confined state the hopping amplitude $ = 0$ along the c direction so that c-axis resitivity is infinite at $T = 0$.

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