1301.2868 (Behrouz Mirza et al.)

Thermodynamic geometry of a kagome Ising model in a magnetic field    [PDF]

Behrouz Mirza, Zahra Talaei

We derived the thermodynamic curvature of the Ising model on a kagome lattice under the presence of an external magnetic field. The curvature was found to have a singularity at the critical point. We focused on the zero field case to derive thermodynamic curvature and its components near the criticality. According to standard scaling, scalar curvature $R$ behaves as $|\beta-\beta_{c}|^{\alpha-2}$ for $\alpha > 0$ where $\beta$ is the inverse temperature and $\alpha$ is the critical exponent of specific heat. In the model considered here in which $\alpha$ is zero, we found that $R$ behaves as $|\beta-\beta_{c}|^{\alpha-1}$.

View original: http://arxiv.org/abs/1301.2868