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@article{FP13a,
Abstract = {The Markov entropy decomposition {(MED)} is a recently-proposed, cluster-based simulation method for finite temperature quantum systems with arbitrary geometry. In this paper, we detail numerical algorithms for performing the required steps of the {MED}, principally solving a minimization problem with a preconditioned Newton's algorithm, as well as how to extract global susceptibilities and thermal responses. We demonstrate the power of the method with the spin-1/2 {XXZ} model on the {2D} square lattice, including the extraction of critical points and details of each phase. Although the method shares some qualitative similarities with exact-diagonalization, we show the {MED} is both more accurate and significantly more flexible.},
Author = {Ferris, Andrew J. and Poulin, David},
Date-Added = {2012-12-07 09:34:47 -0500},
Date-Modified = {2013-05-28 20:04:18 +0000},
Eprint = {arXiv:1212.1442},
Journal = {Phys. Rev. B},
Keywords = {Belief Propagatio; Markov entropy},
Pages = {205126},
Title = {Algorithms for the Markov Entropy Decomposition},
Urldate = {2012-12-07},
Volume = {87},
Year = {2013},
local-url = {FP13a1.pdf}}