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Vortex Deconfinement in the XY Model with a Magnetic Field
H. A. Fertig, Kingshuk Majumdar
We study vortex unbinding for the classical two-dimensional XY model in a magnetic field on square and triangular lattices. A renormalization group analysis combined with duality i…
Theory of Phonon Shakeup Effects on Photoluminescence from the Wigner Crystal in a Strong Magnetic Field
D. Z. Liu, H. A. Fertig, S. Das Sarma
We develop a method to compute shakeup effects on photoluminescence from a strong magnetic field induced two-dimensional Wigner crystal. Only localized holes are considered. Our me…
The Hofstadter Spectrum and Photoluminescence
Lian Zheng, H. A. Fertig
The observability of the Hofstadter spectrum generated by a Wigner crystal using photoluminescence techniques is studied. Itinerant hole geometries are examined, in which a hole ma…
Wigner crystal states for the two-dimensional electron gas in a double quantum well system
Lian Zheng, H. A. Fertig
Using the Hartree-Fock approximation, we calculate the energy of different Wigner crystal states for the two-dimensional electron gas of a double quantum well system in a strong ma…
Shakeup Effects on Photoluminescence from the Wigner Crystal
D. Z. Liu, H. A. Fertig, S. Das Sarma
We develop a method to compute shakeup effects on photoluminescence in a Wigner crystal from localized holes. Our method treats the lattice electrons and the tunneling electron on…
Orientational Order and Depinning of the Disordered Electron Solid
Min-Chul Cha, H. A. Fertig
We study the ground state of two-dimensional classical electron solids under the influence of modulation-doped impurities by using a simulated annealing molecular dynamics method.…
Quantum Correlated Interstitials and the Hall Resistivity of the Magnetically Induced Wigner Crystal
Lian Zheng, H. A. Fertig
We study a trial wavefunction for an interstitial in a Wigner crystal. We find that the electron correlations, ignored in a conventional Hartree-Fock treatment, dramatically lower…
Theory of Photoluminescence from a Magnetic Field Induced Two-dimensional Quantum Wigner Crystal
Dong-Zi Liu, H. A. Fertig, S. Das Sarma
We develop a theory of photoluminescence using a time-dependent Hartree-Fock approximation that is appropriate for the two-dimensional Wigner crystal in a strong magnetic field. Th…