Dissertation/Thesis Abstract

Realistic effects on the electron Wigner crystal energy in the quantum Hall regime
by Hashi, Ryan, M.S., California State University, Long Beach, 2014, 105; 1591583
Abstract (Summary)

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.

Indexing (document details)
Advisor: Peterson, Michael
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
Publication Number: 1591583
ISBN: 9781321833805
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