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Physical Realization of von Neumann Lattices in Rotating Dipole-blockaded Bose Gases
Szu-Cheng Cheng, Shih-Da Jheng
A mathematical lattice, called the von Neumann lattice, is a subset of coherent states and exists periodically in the phase space. It is unlike solids or Abrikosov lattices that ar…
Roton Instabilities and Wigner Crystallization of Rotating Dipolar Fermions in the Fractional Quantum Hall Regime
Shih-Da Jheng, T. F. Jiang, Szu-Cheng Cheng
We point out the possibility of occurring instabilities in Laughlin liquids of rotating dipolar fermions with zero thickness. Previously such a system was predicted to be the Laugh…
Wigner Crystallization of Rotating Dipolar Fermions in the Fractional Quantum Hall Regime
Szu-Cheng Cheng, Shih-Da Jheng, T. F. Jiang
We show the possible existence of the Wigner crystal (WC) in the Fractional Quantum Hall (FQH) regime. We find that the Landau-level mixing (LLM) will lower the energy of the WC si…
Quantum Melting of a Wigner crystal of Rotating Dipolar Fermions in the Lowest Landau Level
Szu-Cheng Cheng, Shih-Da Jheng, T. F. Jiang
We have investigated the behavior and stability of a Wigner crystal of rotating dipolar fermions in two dimensions. Using an ansatz wave function for the ground state of rotating t…