期刊
PHYSICAL REVIEW LETTERS
卷 109, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.109.016401
关键词
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资金
- Global Center of Excellence Program Nanoscience and Quantum Physics of the Tokyo Institute of Technology
- MEXT [23540362]
- Alexander von Humboldt Foundation
- Grants-in-Aid for Scientific Research [23540362] Funding Source: KAKEN
We introduce an exactly solvable fermion chain that describes a v = 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 v = 1/2 bosonic FQH state.
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