Efficient Selfconsistent Calculations of Multiband Superconductivity in UPd${}_2$Al${}_3$

Abstract

An efficient physically motivated computational approach to multiband superconductivity is introduced and applied to the study of the gap symmetry in a heavy-fermion, UPd${}_2$Al${}_3$. Using realistic pairing potentials and accurate energy bands that are computed within density functional theory, self-consistent calculations demonstrate that the only accessible superconducting gap with nodes exhibits d-wave symmetry in the $A_{1g}$ representation of the $D_{6h}$ point group. Our results suggest that in a superconductor with gap nodes the prevailing gap symmetry is dictated by the constraint that nodes must be as far as possible from high-density areas.

References in corpus (1)

• Dual model for magnetic excitations and superconductivity in UPd2Al3

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• Nematicity from mixed S_{+-} + d_{x^2-y^2} states in iron-based superconductors
• Phase separation of superconducting phases in the Penson-Kolb-Hubbard model
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