High-fidelity contact pseudopotentials and p-wave superconductivity

Pascal O. Bugnion; Richard J. Needs; Gareth J. Conduit

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arXiv · 1403.0047

High-fidelity contact pseudopotentials and p-wave superconductivity

Pascal O. Bugnion·Richard J. Needs·Gareth J. Conduit

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Abstract

We develop ultratransferable pseudopotentials for the contact interaction that are 100 times more accurate than contemporary approximations. The pseudopotential offers scattering properties very similar to the contact potential, has a smooth profile to accelerate numerics by a factor of up to 4,000, and, for positive scattering lengths, does not support an unwanted bound state. We demonstrate these advantages in a Diffusion Monte Carlo study of fermions with repulsive interactions, delivering the first numerical evidence for the formation of a p-wave superconducting state.

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Pascal O. Bugnion, Richard J. Needs, Gareth J. Conduit. 2014-03-01. High-fidelity contact pseudopotentials and p-wave superconductivity. https://arxiv.org/abs/1403.0047

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