Date of Award
2009
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Physics
Supervisor
Erik Sorensen
Language
English
Abstract
Quantum spin systems are particularly useful for the description of materials that exhibit magnetism. But, due to the quantum mechanical nature of such systems the problem size grows exponentially, quickly becoming intractable. Approximation schemes both analytical as well as numerical become useful at this point. However, there exist spin systems that are frustrated and remain beyond conventional treatments. In this project we use a numerical technique based on PEPS, to study quantum spin systems chiefly in 2-dimensions. The primary aim is to understand the behaviour of the algorithm, especially its limitations and why they exist. Such an investigation would be helpful in better implementation of the algorithm, as well as to improve upon its limitations via suitable approximation schemes.
Recommended Citation
Sur, Shouvik, "A Study of PEPS as Applied to Low Dimensional Quantum Magnets" (2009). Open Access Dissertations and Theses. Paper 4502.
http://digitalcommons.mcmaster.ca/opendissertations/4502
McMaster University Library