Unexpected spin-off from quantum gravity
We propose a novel way of investigating the universal properties of spin systems by coupling them to an ensemble of causal dynamically triangulated lattices, instead of studying them on a fixed regular or random lattice. Somewhat surprisingly, graph-counting methods to extract high- or low-temperature series expansions can be adapted to this case. For the two-dimensional Ising model, we present evidence that this ameliorates the singularity structure of thermodynamic functions in the complex plane, and improves the convergence of the power series.
| Year of publication: |
2007
|
|---|---|
| Authors: | Benedetti, D. ; Loll, R. |
| Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 377.2007, 2, p. 373-380
|
| Publisher: |
Elsevier |
| Subject: | Spin systems | Random geometries | Series expansion |
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