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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Crystallography

Background:

  • Topological semimetals exhibit unique electronic properties driving research for novel materials.
  • Intersecting nodal rings (INRs) represent a complex topological phase with potential applications.

Purpose of the Study:

  • To identify the critical conditions for the existence of INRs in symmorphic crystals.
  • To classify all possible types of INRs in layered semiconductors with Amm2 and Cmmm space group symmetries.
  • To explore the tunability of these topological phases and their associated electronic properties.

Main Methods:

  • Theoretical investigation of crystal symmetries and band structures.
  • Classification of topological phases based on space group analysis.
  • Analysis of surface states and Landau-level structures.

Main Results:

  • A critical condition for the formation of INRs in symmorphic crystals was identified.
  • Three types of INRs (α, β, and γ) were classified in layered semiconductors (Amm2 and Cmmm space groups).
  • Honeycomb structures were proposed as topological INR semimetals, exhibiting strain-driven transitions between INR types.

Conclusions:

  • The study provides a comprehensive classification of INRs in specific crystal symmetries.
  • Proposed materials offer a platform for studying complex topological phenomena and strain engineering.
  • The intricate surface and Landau-level structures associated with INRs warrant further investigation.