2014 Volume 69 Issue 7 Pages 465-469
We introduce one-dimensional lattice models with exact matrix-product ground states describing the fractional quantum Hall states in Laughlin series (given by filling factors ν=1/q) on torus geometry. The obtained exact ground states well describe properties of the Laughlin wave function. Using the matrix product method, density functions and correlation functions are calculated analytically. Especially, obtained entanglement spectra reflect properties of chiral Tomonaga Luttinger liquid of the gapless edge states.