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Related Experiment Videos

Study on Green's function on topological insulator surface.

Bo Lu1, Yukio Tanaka2

  • 1Department of Applied Physics, CREST, Japan Science and Technology Corporation (JST), Nagoya University, Nagoya 464-8603, Japan dr.lv.bo@gmail.com.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|June 27, 2018
PubMed
Summary
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Researchers constructed Green

Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Superconductivity

Background:

  • Green's function is crucial for understanding Andreev bound states, local density of states, and Josephson currents in superconducting junctions.
  • Topological insulators possess unique surface states with linear energy dispersion, relevant for novel electronic phenomena.
  • McMillan's formalism provides a framework for analyzing superconducting phenomena.

Purpose of the Study:

  • To construct Green's function on the surface of a topological insulator using McMillan's formalism.
  • To investigate the electronic properties of superconductor/ferromagnet/normal metal (S/F/N) junctions.
  • To analyze the DC Josephson current in superconductor/ferromagnet/superconductor (S/F/S) junctions.

Main Methods:

Keywords:
Josephson effectMcMillan’s Green’s functionodd-frequency pairingtopological Insulator

Related Experiment Videos

  • Application of McMillan's formalism to construct Green's function for topological insulator surfaces.
  • Theoretical modeling of S/F/N junctions to study Majorana fermion generation.
  • Derivation of an extended Furusaki-Tsukada formula for DC Josephson current in S/F/S junctions.

    • Main Results:

    • Construction of Green's function for topological insulator surfaces with linear electron dispersion.
    • Demonstration that Majorana fermion generation in S/F/N junctions enhances local density of states and odd-frequency pairing amplitude.
    • Derivation of a magnetization-dependent DC Josephson current formula for S/F/S junctions.

    Conclusions:

    • The study successfully constructs Green's function for topological insulator surfaces, enabling systematic analysis of superconducting phenomena.
    • Majorana fermions significantly influence electronic properties and pairing in hybrid structures.
    • The derived Josephson current formula highlights the impact of magnetization on superconducting transport.