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arxiv: 1903.07721 · v1 · submitted 2019-03-18 · ❄️ cond-mat.dis-nn

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Do tensor renormalization group methods work for frustrated spin systems?

Zheng Zhu , Helmut G. Katzgraber
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classification ❄️ cond-mat.dis-nn
keywords frustratedgroupmethodsrenormalizationspinsystemstensorcut-off
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No. To illustrate that tensor renormalization group methods are poorly suited for frustrated magnetic systems, we study the thermodynamic properties of the two-dimensional Edwards-Anderson Ising spin-glass model on a square lattice. We show that the limited precision of standard 64-bit data types and not a small cut-off parameter is the main reason for unphysical negative partition function values in spin glasses.

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  1. Tensor-Network Population Annealing

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    TNPA uses tensor-network contractions only in a reliable temperature window to seed population annealing, with an effective-sample-size diagnostic to pick the switch-over temperature.