Journal of the Physical Society of Japan
Correlation Exponents for Multicomponent Jastrow Wave Functions and Effects of Chiral Constraint in One Dimension
Norio Kawakami
Abstract
The long-distance critical behavior of correlation functions is studied for the multicomponent Jastrow wave function in one dimension (1D), which is a 1D analogue of generalized Laughlin's wave function for the fractional quantum Hall effect. The critical exponents for various correlation functions are obtained analytically. We then impose the chiral constraint and discuss the relationship to the chiral Luttinger liquid for the edge states of the quantum Hall effect.