2011/10/31 by Masaaki Nakamura, Zhengyuan Wang, Zheng-Yuan Wang +1
Mathematics · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.str-el #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1103/physrevlett.109.016401
published as Phys. Rev. Lett. 109, 016401 (2012) · 5 pages. 3 figures, the final version, a related paper arXiv:1206.3071
openalex publication_date 2012/07/02 · arxiv created 2012/07/03 · arxiv updated 2012/07/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We introduce an exactly solvable fermion chain that describes a ν=1/3 fractional quantum Hall (FQH) state beyond the thin-torus limit. The ground state of our model is shown to be unique for each center-of-mass sector, and it has a matrix product representation that enables us to exactly calculate order parameters, correlation functions, and entanglement spectra. The ground state of our model shows striking similarities with the BCS wave functions and quantum spin-1 chains. Using the variational method with matrix product ansatz, we analytically calculate excitation gaps and vanishing of the compressibility expected in the FQH state. We also show that the above results can be related to a ν=1/2 bosonic FQH state.