Test of Conformal Invariance in One-Dimensional Quantum Liquid with Long-Range Interaction
Abstract
We numerically study the momentum distribution of one-dimensional Bose and Fermi systems with long-range interaction g/r2 for the ``special'' values g= -12, 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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