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arXiv · 1710.03402

Criticality at absolute zero from Ising model on two-dimensional dynamical triangulations

Yuki Sato·Tomo Tanaka
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Abstract

We reconsider the criticality of the Ising model on two-dimensional dynamical triangulations based on the $N \times N$ hermitian two-matrix model with the introduction of a loop-counting parameter and linear terms in the potential. We show that in the large-N limit even though the Ising model is classical, the critical temperature can reach absolute zero by tuning the loop-counting parameter, and the corresponding continuum theory turns out to be the quantised theory of neither pure gravity nor gravity coupled to conformal matter with central charge being 1/2.

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Yuki Sato, Tomo Tanaka. 2017-10-10. Criticality at absolute zero from Ising model on two-dimensional dynamical triangulations. https://doi.org/10.1103/physrevd.98.026026

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