# The Phase Diagram of Crystalline Surfaces

## TL;DR

This paper presents high-statistics Monte Carlo simulations of crystalline surfaces with extrinsic curvature, analyzing phase behavior and correlations on large lattices to understand their thermodynamic properties.

## Contribution

It provides detailed simulation data on the phase diagram of crystalline surfaces with extrinsic curvature, focusing on the cold phase and correlation decay.

## Key findings

- Normal-normal correlation function decays in the cold phase
- High-statistics data up to 128^2 lattice size
- Insights into phase behavior of crystalline surfaces with extrinsic curvature

## Abstract

We report the status of a high-statistics Monte Carlo simulation of non-self-avoiding crystalline surfaces with extrinsic curvature on lattices of size up to $128^2$ nodes. We impose free boundary conditions. The free energy is a gaussian spring tethering potential together with a normal-normal bending energy. Particular emphasis is given to the behavior of the model in the cold phase where we measure the decay of the normal-normal correlation function.