Evidence for Spin-Charge Separation in the Two-Dimensional T-J Model

Abstract

We have calculated high temperature expansions for the momentum distribution function $n_{\mathbf{k}}$ and the equal time spin and density correlation functions $S(\mathbf{q})$ and $N(\mathbf{q})$ of the two-dimensional $t$-$J$ model. On extrapolation to low temperatures we find that $n_{\mathbf{k}}$ has a step-like feature at ${\mathbf{k}}_F$ and $S(\mathbf{q})$ has $2{\mathbf{k}}_F$ as a characteristic wavevector, whereas $N(\mathbf{q})$ has $2{\mathbf{k}}_F^{SF}$ as a characteristic wavevector. Here ${\mathbf{k}}_F$ and ${\mathbf{k}}_F^{SF}$ are the Fermi wavevectors of the nearest-neighbor square lattice tight-binding and spinless fermion models, respectively. By comparison to the known results for one dimension this suggests spin-charge separation in the two-dimensional $t$-$J$ model.

11 pages, RevTex 3.0, 8 postscript figures appended, NHMFL-93-988

References in corpus (1)

• Hole-hole correlations in the $U=\infty$ limit of the Hubbard model and the stability of the Nagaoka state

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