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

@article{Sato2017CriticalityAA, title={Criticality at absolute zero from Ising model on two-dimensional dynamical triangulations}, author={Yuki Sato and Tomo Tanaka}, journal={Physical Review D}, year={2017} }

We reconsider the criticality of the Ising model on two-dimensional dynamical triangulations based on the $N\ifmmode\times\else\texttimes\fi{}N$ 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 quantized theory…

## One Citation

### Towards elucidation of zero-temperature criticality of the Ising model on 2D dynamical triangulations

- PhysicsPhysical Review D
- 2020

We study the zero-temperature criticality of the Ising model on two-dimensional dynamical triangulations to contemplate its physics. As it turns out, an inhomogeneous nature of the system yields an…

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