Monopoles in the gauge theory of the t-J model

Details Monopoles in the gauge theory of the t-J model Monopoles in the gauge theory of the t-J model

1996-05-03

arxiv.org/abs/cond-mat/9605027v1

Physics

Condensed Matter

Jour. Phys. I (France)

Scientific paper

10.1051/jp1:1996103

We consider a RG approach for the plasma of magnetic monopoles of the Ioffe-Larkin approach to the t-J model. We first derive the interaction parameters of the 2+1 plasma of magnetic monopoles. The total charge along the time axis is constrained to be zero for each lattice plaquette. Under the one-plaquette approximation, the problem is equivalent to a one dimensional neutral plasma interacting via a potential $V(t) \sim t^{\alpha}$, with $\alpha=1/3$. The plasma is in a dipolar phase if $\alpha \ge 1$ and a possibility of transition towards a Debye screening phase arises if $\alpha < 1$, so that there exists a critical Fermi wave vector $k_f^{*}$ such as the plasma is Debye screening if $k_fk_f^{*}$. The 2+1 dimensional problem is treated numerically. We show that $k_f^{*}$ decreases and goes to zero as the number of colors increases. This suggests that the assumption of spin-charge decoupling within the slave-boson scheme is self-consistent at large enough values of $N$ and small enough doping. Elsewhere, a confining force between spinons and antiholons appears, suggesting a transition to a Fermi liquid state.

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