https://scholars.lib.ntu.edu.tw/handle/123456789/443179
Title: | Dualities for Ising Networks | Authors: | YU-TIN HUANG Kuo, C.-K. Wen, C. |
Issue Date: | 2018 | Journal Volume: | 121 | Journal Issue: | 25 | Source: | Physical Review Letters | Abstract: | In this Letter, we study the equivalence between planar Ising networks and cells in the positive orthogonal Grassmannian. We present a microscopic construction based on amalgamation, which establishes the correspondence for any planar Ising network. The equivalence allows us to introduce two recursive methods for computing correlators of Ising networks. The first is based on duality moves, which generate networks belonging to the same cell in the Grassmannian. This leads to fractal lattices where the recursion formulas become the exact renormalization group equations of the effective couplings. The second, we use an amalgamation in which each iteration doubles the size of the seed lattice. This leads to an efficient way of computing the correlator where the complexity scales logarithmically with respect to the number of spin sites. © 2018 authors. Published by the American Physical Society. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/443179 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85059068913&doi=10.1103%2fPhysRevLett.121.251604&partnerID=40&md5=e21fc489d7265f8e13d88b2d04fbd5ba |
ISSN: | 00319007 | DOI: | 10.1103/PhysRevLett.121.251604 | SDG/Keyword: | Correlators; Metals; Statistical mechanics; Effective coupling; Fractal lattices; Grassmannian; Recursion formulas; Recursive methods; Renormalization group equations; Iterative methods |
Appears in Collections: | 物理學系 |
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