Dissertation/Thesis Abstract

Identifying topological order in the Shastry-Sutherland model via entanglement entropy
by Ronquillo, David C., M.S., California State University, Long Beach, 2015, 174; 1596474
Abstract (Summary)

It is known that for a topologically ordered state the area law for the entanglement entropy shows a negative universal additive constant contribution, –γ, called the topological entanglement entropy. We theoretically study the entanglement entropy of the two-dimensional Shastry-Sutherland quantum antiferromagnet using exact diagonalization on clusters of 16 and 24 spins. By utilizing the Kitaev-Preskill construction, we extract a finite topological term, –γ , in the region of bond-strength parameter space corresponding to high geometrical frustration. Thus, we provide strong evidence for the existence of an exotic topologically ordered state and shed light on the nature of this model's strongly frustrated, and long controversial, intermediate phase.

Indexing (document details)
Advisor: Peterson, Michael R.
Commitee: Bill, Andreas, Gu, Jiyeong
School: California State University, Long Beach
Department: Physics and Astronomy
School Location: United States -- California
Source: MAI 55/01M(E), Masters Abstracts International
Subjects: Quantum physics, Condensed matter physics
Keywords: Entanglement entropy, Frustrated magnets, Lattice spin models, Quantum antiferromagnets, Quantum topological phases, Strongly correlated systems
Publication Number: 1596474
ISBN: 978-1-321-97755-4
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