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Adding magnetic impurities to two-dimensional triplet superconductors can alter their topological state. This study explores localized zero modes and chiral modes induced by magnetic chains and islands, revealing key topological properties.

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Area of Science:

  • Condensed Matter Physics
  • Topological Materials
  • Superconductivity

Background:

  • Two-dimensional triplet superconductors possess unique topological properties.
  • Magnetic impurities can significantly influence the electronic states of superconductors.
  • Spin-orbit coupling plays a crucial role in topological phenomena.

Purpose of the Study:

  • To investigate how magnetic impurities modify the topological state of 2D triplet superconductors.
  • To analyze the emergence and interplay of localized zero modes and chiral modes.
  • To understand the topological phase transitions induced by varying magnetic impurity configurations.

Main Methods:

  • Theoretical modeling of a 2D triplet superconductor with surface magnetic impurities.
  • Analysis of edge states and localized zero modes.
  • Effective 1D system reduction and comparison with 2D treatment.
  • Calculation of the Chern number for different impurity densities.

Main Results:

  • A ferromagnetic magnetic chain can eliminate edge states, creating localized zero modes.
  • The coexistence and competition between different types of zero modes are examined.
  • Transition from magnetic chain to magnetic islands leads to a finite Chern number.
  • Chiral modes are induced at half-filling with small impurity concentrations.

Conclusions:

  • The topological state of 2D triplet superconductors is tunable via magnetic impurities.
  • A 2D treatment is necessary for a complete understanding of the zero modes.
  • Magnetic islands can induce non-trivial topological phases characterized by a finite Chern number.