GPU-based acceleration of free energy calculations in solid state physics

TL;DR

This paper demonstrates how GPU acceleration can significantly speed up free energy calculations in solid state physics, enabling faster and larger-scale analysis of complex phenomena like superconductivity.

Contribution

The paper introduces a GPU-based approach with customized algorithms that achieves up to 119x speedup in free energy calculations for superconductors.

Findings

Achieved 19x speedup over CPU implementations.

Reduced calculation time from minutes to seconds.

Enabled analysis of larger systems and finite size effects.

Abstract

Obtaining a thermodynamically accurate phase diagram through numerical calculations is a computationally expensive problem that is crucially important to understanding the complex phenomena of solid state physics, such as superconductivity. In this work we show how this type of analysis can be significantly accelerated through the use of modern GPUs. We illustrate this with a concrete example of free energy calculation in multi-band iron-based superconductors, known to exhibit a superconducting state with oscillating order parameter. Our approach can also be used for classical BCS-type superconductors. With a customized algorithm and compiler tuning we are able to achieve a 19x speedup compared to the CPU (119x compared to a single CPU core), reducing calculation time from minutes to mere seconds, enabling the analysis of larger systems and the elimination of finite size effects.