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A superconductor is a substance that offers zero resistance to the electric current when it drops below a critical temperature. Zero resistance is not the only interesting phenomenon as materials reach their transition temperatures. A second effect is the exclusion of magnetic fields. This is known as the Meissner effect. A light, permanent magnet placed over a superconducting sample will levitate in a stable position above the superconductor. High-speed trains that levitate on strong...
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Higher-Order Topological Odd-Parity Superconductors.

Zhongbo Yan1

  • 1School of Physics, Sun Yat-Sen University, Guangzhou 510275, China.

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|November 9, 2019
PubMed
Summary
This summary is machine-generated.

We identified key conditions for higher-order topological odd-parity superconductors, focusing on Fermi surface contractibility and Berry phase. A simple principle for realizing these superconductors in normal metals was also established.

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Area of Science:

  • Condensed Matter Physics
  • Topological Materials Science

Background:

  • Topological superconductors possess unique properties determined by their electronic structure.
  • Understanding the interplay between pairing nodes and Fermi surfaces is crucial for classifying topological phases.

Purpose of the Study:

  • To identify the key conditions for realizing higher-order topological odd-parity superconductors.
  • To develop a general principle for designing such materials, particularly when the normal state is a metal.

Main Methods:

  • Analysis of topological invariants related to Fermi surfaces and pairing nodes.
  • Investigation of time-reversal invariant momenta and Berry phases.
  • Theoretical modeling of superconductor-normal metal interfaces.

Main Results:

  • Contractibility of Fermi surfaces and nontrivial Berry phase are essential for higher-order topological odd-parity superconductors.
  • Removable Dirac pairing nodes are necessary when the normal state is a metal.
  • A general principle for realizing these topological phases was derived.

Conclusions:

  • The findings provide a roadmap for designing novel higher-order topological superconductors.
  • The principles can be extended to the design of higher-order topological insulators.