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Quantum Melting on a Lattice and Delocalization Transition
E.V. Tsiper
Dissertation
submitted to the faculty of the University of Utah
in partial fulfillment of the requirements for the degree of
Doctor of Philosophy
Abstract:
Quantum melting of a lattice Wigner crystal and the insulator-metal
transition assosiated with it are studied using numerical techniques.
It is shown that the lowest in energy excited state of the system
plays crucial role in quantum melting. In a large enough system this
state is a point defect in a Wigner crystal. Based on numerical data
a simple picture of the transition is proposed. This picture leads to
an empirical criterion that allows estimation of the critical point of
the transition in various cases. It is shown that the picture
provides a good description of the phase diagram of quantum melting in
the one-dimensional (1D) model with the nearest- and the next-nearest
interactions in the regions where the mixing of two competing crystals
is not important. In the region of strong mixing an interesting
metallic phase of a strongly interacting system is found.
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