56 citations · 119 across the 6 of their papers we have counts for
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Dimerizations in spin- antiferromagnetic chains with three-spin interaction
Zheng-Yuan Wang, Shunsuke C. Furuya, Masaaki Nakamura +1
We discuss spin- antiferromagnetic Heisenberg chains with three-spin interactions, next-nearest-neighbor interactions, and bond alternation. First, we prove rigorously that ther…
Matrix-Product Ansatz for Excited States of Fractional Quantum Hall Systems
Zheng-Yuan Wang, Masaaki Nakamura
Recently, it was discussed that the fractional quantum Hall state can be expressed by a one-dimensional lattice model with an exact matrix-prduct ground state, when toroida…
One-dimensional lattice model with an exact matrix-product ground state describing the Laughlin wave function
Zheng-Yuan Wang, Masaaki Nakamura
We introduce one-dimensional lattice models with exact matrix-product ground states describing the fractional quantum Hall (FQH) states in Laughlin series (given by filling factors…
Spin-chain description of fractional quantum Hall states in the Jain series
Zheng-Yuan Wang, Shintaro Takayoshi, Masaaki Nakamura
We discuss the relationship between fractional quantum Hall (FQH) states at filling factor and quantum spin chains. This series corresponds to the Jain series $ν=p/(2m…
Exactly Solvable Fermion Chain Describing a Fractional Quantum Hall State
Masaaki Nakamura, Zheng-Yuan Wang, Emil J. Bergholtz
We introduce an exactly solvable fermion chain that describes a fractional quantum Hall (FQH) state beyond the thin-torus limit. The ground state of our model is shown to b…
Beyond the Tao-Thouless limit of the fractional quantum Hall effect: spin chains and Fermi surface deformation
Masaaki Nakamura, Zheng-Yuan Wang, Emil J. Bergholtz
We discuss the relationship between the fractional quantum Hall effect in the vicinity of the thin-torus, a.k.a. Tao-Thouless (TT), limit and quantum spin chains. We argue that the…