Exactly solvable fermion chain describing a ν=1/3 fractional quantum Hall state.
Phys Rev Lett
; 109(1): 016401, 2012 Jul 06.
Article
en En
| MEDLINE
| ID: mdl-23031117
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.
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MEDLINE
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En
Revista:
Phys Rev Lett
Año:
2012
Tipo del documento:
Article
País de afiliación:
Japón
Pais de publicación:
Estados Unidos