Electron systems in the quantum Hall regime change from a liquid state to a Wigner crystal state as the filling factor is lowered below approximately 1/5. This phase transition can be studied with theoretical methods by comparing the ground-state energies of the quantum liquid and the quantum Wigner crystal. Past studies have not included realistic effects such as finite thickness, Landau-level mixing, and disorder on the electron system. We expand upon the classic work by Maki and Zotos to calculate Wigner crystal energies that include a finite thickness of the two-dimensional electron lattice.
|Commitee:||Bill, Andreas, Gu, Jiyeong|
|School:||California State University, Long Beach|
|Department:||Physics and Astronomy|
|School Location:||United States -- California|
|Source:||MAI 54/05M(E), Masters Abstracts International|
|Subjects:||Condensed matter physics, Theoretical physics|
|Keywords:||Landau level, Physics, Quantum Hall, Solid state, Wigner crystal|
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