Test of Conformal Invariance in One-Dimensional Quantum Liquid with Long-Range Interaction

Details Test of Conformal Invariance in One-Dimensional Quantum Liquid with Long-Range Interaction Test of Conformal Invariance in One-Dimensional Quantum Liquid with Long-Range Interaction

1992-12-15

arxiv.org/abs/cond-mat/9212021v1

Physics

Condensed Matter

25 pages

Scientific paper

We numerically study the momentum distribution of one-dimensional Bose and
Fermi systems with long-range interaction $g/r^2$ for the ``special'' values
$g= -\frac{1}{2}, 0, 4$, singled out by random matrix theory. The critical
exponents are shown to be independent of density and in excellent agreement
with estimates obtained from $c=1$ conformal finite-size scaling analysis.

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