In this thesis we present results from quantum Monte Carlo for the fully-frustrated honeycomb lattice.
The XXZ model is of interest in the classical limit, as there is a mapping between the classical fully-frustrated honeycomb Ising model groundstates and the classical hard-core dimer model groundstate.
The aim of this work is to explore the effect of quantum fluctuations on the fully-frustrated honeycomb model to see what sort of interesting physics arises.
One might expect unusual physics due to the quantum hard-core dimer model, where interesting physics are known to exist.
This is because there is a duality mapping between the classical dimer model and the classical fully-frustrated honeycomb Ising model.
Indeed, by studying the fully-frustrated honeycomb XXZ model we find that in some cases the system orders into crystal-like structures, a case of order-by-disorder.
The most interesting case, when the frustrating bonds are chosen randomly, reveals to us a novel state without any discernible order while at the same time avoiding the freezing one would expect of a glass.
This state is a featureless system lacking low temperature magnetic susceptibility---a candidate ``quantum spin liquid''.
Future work that might more easily measure quantum spin liquid criteria is suggested.
| Identifer | oai:union.ndltd.org:WATERLOO/oai:uwspace.uwaterloo.ca:10012/5581 |
| Date | January 2010 |
| Creators | Inglis, Stephen |
| Source Sets | University of Waterloo Electronic Theses Repository |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
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