Tilt-Controlled Multi-Gap Superconductivity in Type-II Weyl Semimetals
Abstract
In type-II Weyl semimetals, strongly tilted Weyl cones produce coexisting electron and hole pockets, a natural multi-band setting for superconductivity, yet how the tilt controls the number and relative size of the superconducting gaps remains unclear. Here we classify the symmetry-allowed on-site pairing channels of a simple time-reversal symmetric tilted Weyl-semimetal model with D4 symmetry and identify the fully symmetric A1 channel as the leading instability for attractive on-site interactions, supporting a fully gapped two-gap state. The tilt acts as a microscopic control parameter, redistributing the band-resolved pairing susceptibility between the two Fermi-surface sectors rather than simply rescaling the total density of states. Once the tilt sufficiently enhances the secondary channel, a robust secondary gap develops and can exceed the primary gap even at weaker effective coupling, while inter-gap coupling locks both gaps to a common critical superconducting temperature. The Weyl cone tilt thus controls the emergence and hierarchy of multi-gap superconductivity.
Related
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BibTeX
@misc{lee2026tiltcontrolled,
title = {{Tilt-Controlled Multi-Gap Superconductivity in Type-II Weyl Semimetals}},
author = {Mingyu Lee and Myungjun Kang and Sangmo Cheon},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34315},
eprint = {2610.34315},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34315},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Tilt-Controlled Multi-Gap Superconductivity in Type-II Weyl Semimetals
AU - Mingyu Lee
AU - Myungjun Kang
AU - Sangmo Cheon
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2610.34315
UR - https://arxiv.org/abs/2610.34315
AB - In type-II Weyl semimetals, strongly tilted Weyl cones produce coexisting electron and hole pockets, a natural multi-band setting for superconductivity, yet how the tilt controls the number and relative size of the superconducting gaps remains unclear. Here we classify the symmetry-allowed on-site pairing channels of a simple time-reversal symmetric tilted Weyl-semimetal model with D_4 symmetry and identify the fully symmetric A_1 channel as the leading instability for attractive on-site interactions, supporting a fully gapped two-gap state. The tilt acts as a microscopic control parameter, redistributing the band-resolved pairing susceptibility between the two Fermi-surface sectors rather than simply rescaling the total density of states. Once the tilt sufficiently enhances the secondary channel, a robust secondary gap develops and can exceed the primary gap even at weaker effective coupling, while inter-gap coupling locks both gaps to a common critical superconducting temperature. The Weyl cone tilt thus controls the emergence and hierarchy of multi-gap superconductivity.
ER -