Hao Wang, Rajesh Narayanan, Xin Wan, Fuchun Zhang
We study the anisotropic effect of the Coulomb interaction on a 1/3-filling fractional quantum Hall system by using exact diagonalization method on small systems in torus geometry. For weak anisotropy the system remains to be an incompressible quantum liquid, although anisotropy manifests in density correlation functions and excitation spectra. In the strong anisotropy limit the system becomes a one-dimensional crystal. At intermediate strength of anisotropy we find a Hall smectic phase in which the system develops a one-dimensional charge density wave. In all the three phases of the Laughlin liquid, Hall smectic, and crystal phases the ground state of the anisotropic Coulomb system can be well described by a family of model wavefunctions generated by an anisotropic projection Hamiltonian. We discuss the relevance of the results to the geometrical description of fractional quantum Hall states proposed by Haldane [Phys. Rev. Lett. {\bf 107}, 116801 (2011)].
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http://arxiv.org/abs/1203.1982
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