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We investigate the topological electronic properties of the 𝐾4 crystal by constructing a tight-binding model. The bulk band structure hosts Weyl nodes with higher and conventional chiralities (𝜒=±2 and 𝜒=±1) located at high-symmetry points in the Brillouin zone. Through analytical evaluation of the Berry curvature, we identify the positions and chiralities of these Weyl nodes. Furthermore, slab calculations for the (001) surface reveal Fermi arcs that connect Weyl nodes of opposite chirality, including those linking 𝜒=±2 nodes with pairs of 𝜒=∓1 nodes. These results demonstrate that the 𝐾4 crystal is a spinless Weyl semimetal featuring topologically protected surface states originating from multiple types of Weyl nodes.

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• In Copyright
  

  ©2026 American Physical Society

Keyword: K4 crystal, Gyroid lattice, Weyl point, Fermi arc, topological charge, Berry curvature, surface state

Date published: 2026-02-05

Publisher: American Physical Society (APS)

Journal:

• Physical Review B (ISSN: 24699950) vol. 113 issue. 8 085409

Funding:

• Japan Society for the Promotion of Science JP25K01609
• Japan Society for the Promotion of Science JP22H05473
• Japan Society for the Promotion of Science JP21H01019
• Japan Science and Technology Agency JPMJCR19T1
• Sumitomo Foundation 2401203

Manuscript type: Author's version (Accepted manuscript)

MDR DOI: https://doi.org/10.48505/nims.6340

First published URL: https://doi.org/10.1103/jc96-wrmj

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Updated at: 2026-06-17 08:00:09 +0900

Published on MDR: 2026-06-17 10:49:33 +0900