Monopoles in the Gauge Theory of the t-J Model

R. Mélin , Benoît Douçot

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)∼tα, with α= 1/3. The plasma is in a dipolar phase if α≥1 and a possibility of transition towards a Debye screening phase arises if α< 1, so that there exists a critical Fermi wave vector kf* such as the plasma is Debye screening if kf < kf* and confined if kf > kf*. The 2+1 dimensional problem is treated numerically. We show that kf* 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.

Domaines: Articles anciens

R. Mélin, Benoît Douçot. Monopoles in the Gauge Theory of the t-J Model. Journal de Physique I, 1996, 6 (8), pp.993-1006. ⟨10.1051/jp1:1996103⟩. ⟨jpa-00247236⟩