Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 373-380 |
| Number of pages | 8 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 377 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 15 Apr 2007 |
| Externally published | Yes |
Keywords
- Random geometries
- Series expansion
- Spin systems