2014/07/31 by David C. Ronquillo, Michael R. Peterson
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Combinatorics #Entropy (arrow of time) #Mathematics #Opinion Dynamics and Social Influence #Physics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #Topological entropy in physics #Topological quantum number #Topology (electrical circuits) #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.90.201108
published as Phys. Rev. B 90, 201108 (2014) · 4 pages, 4 figures; v2 is published version with additional references
openalex publication_date 2014/11/14 · arxiv created 2014/11/18 · arxiv updated 2014/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is known that for a topologically ordered state the area law for the entanglement entropy shows a negative universal additive constant contribution, \ensuremath-\ensuremathγ, 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 [A. Kitaev and J. Preskill, Phys. Rev. Lett. 96, 110404 (2006)] we extract a finite topological term, \ensuremath-\ensuremathγ, 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.