Butsuri
Online ISSN : 2423-8872
Print ISSN : 0029-0181
ISSN-L : 0029-0181
1D Lattice Models with Exact Ground States Describing Fractional Quantum Hall Systems(Research)
Masaaki NakamuraZheng-Yuan Wang
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JOURNALS OPEN ACCESS

2014 Volume 69 Issue 7 Pages 465-469

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Abstract

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.

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© 2014 The Physical Society of Japan
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