A Study of PEPS as Applied to Low Dimensional Quantum Magnets

Abstract

<p>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.</p>