Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session C71: Poster Session I (2:00pm - 5:00pm)
Monday, March 2, 2020
Room: Exhibit Hall C/D
Abstract: C71.00341 : A New Graphical Method for Designing Exactly Solvable Models
Based on these facts, in this talk we will present a new method to obtain a series of solvable models that include the Jordan-Wigner transformation and the Kitaev’s method of the KHLM as special cases . For any given well-behaved graphs, we can construct FFMs corresponding to them. We can also design a set of operators from them. Therefore, we can create a lot of exactly solvable Hamiltonians. By this method we will introduce new solvable models, containing three-dimensional lattice models and spin systems corresponding to a fractal-like graph.
 A. Kitaev and C. Laumann, arXiv:0904.2771.
 K. Minami, Nucl. Phys. B 939 (2019) 465.
 M. Ogura et al., in preparation.
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