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

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

1993-09-21

arxiv.org/abs/cond-mat/9309031v1

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevLett.73.170

We have calculated high temperature expansions for the momentum distribution function $n_{\scriptscriptstyle\bf k}$ and the equal time spin and density correlation functions $S({\bf q})$ and $N({\bf q})$ of the two-dimensional $t$-$J$ model. On extrapolation to low temperatures we find that $n_{\scriptscriptstyle\bf k}$ has a step-like feature at ${\bf k}_{\scriptscriptstyle F}$ and $S({\bf q})$ has $2{\bf k}_{\scriptscriptstyle F}$ as a characteristic wavevector, whereas $N({\bf q})$ has $2{\bf k}_{\scriptscriptstyle F}^{\scriptscriptstyle SF}$ as a characteristic wavevector. Here ${\bf k}_{\scriptscriptstyle F}$ and ${\bf k}_{\scriptscriptstyle F}^{\scriptscriptstyle SF}$ 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.

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