Spin Susceptibility and Gap Structure of the Fractional-Statistics Gas

Details Spin Susceptibility and Gap Structure of the Fractional-Statistics Gas Spin Susceptibility and Gap Structure of the Fractional-Statistics Gas

1994-04-09

arxiv.org/abs/cond-mat/9404018v1

Physics

Condensed Matter

35 pages, written in REVTeX, 16 figures available upon request from jared@large.stanford.edu

Scientific paper

10.1103/PhysRevB.50.7107

This paper establishes and tests procedures which can determine the electron energy gap of the high-temperature superconductors using the $t\!-\!J$ model with spinon and holon quasiparticles obeying fractional statistics. A simpler problem with similar physics, the spin susceptibility spectrum of the spin 1/2 fractional-statistics gas, is studied. Interactions with the density oscillations of the system substantially decrease the spin gap to a value of $(0.2 \pm 0.2)$ $\hbar \omega_c$, much less than the mean-field value of $\hbar\omega_c$. The lower few Landau levels remain visible, though broadened and shifted, in the spin susceptibility. As a check of the methods, the single-particle Green's function of the non-interacting Bose gas viewed in the fermionic representation, as computed by the same approximation scheme, agrees well with the exact results. The same mechanism would reduce the gap of the $t\!-\!J$ model without eliminating it.

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