Thursday, April 11, 2013

1304.2856 (Rui-Zhi Qiu et al.)

Single-mode approximation for rotational symmetry broken quantum Hall

Rui-Zhi Qiu, Zi-Xiang Hu, Xin Wan
A topological phase can often be represented by a corresponding wavefunction (exact eigenstate of a model Hamiltonian) that has a higher underlying symmetry than necessary. When the symmetry is explicitly broken in the Hamiltonian, the model wavefunction fails to account for the change due to the lack of a variational parameter. Here we exemplify the case by an integer quantum Hall system with anisotropic interaction. We demonstrate the recovery of the variational parameter in a single-mode approximation, which is consistent with the recently proposed geometric consideration of the quantum Hall phases.
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