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Berry phase in magnetic superconductors.

Shuichi Murakami1, Naoto Nagaosa

  • 1Department of Applied Physics, University of Tokyo, Bunkyo-ku, Japan. murakami@appi.t.u-tokyo.ac.jp

Physical Review Letters
|March 14, 2003
PubMed
Summary

Superconducting systems with topological electronic bands exhibit unique gauge flux. This flux leads to nodes in the superconducting gap where the Fermi surface is pierced by gauge strings.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Materials science

Background:

  • Electronic bands in magnetic systems can possess nontrivial topological structures.
  • The distribution of gauge flux in momentum space can lead to non-unique wave function phases across the Brillouin zone.

Purpose of the Study:

  • To develop a theory for superconductivity in systems with gauge flux.
  • To investigate the impact of topological electronic structures on superconductivity in 2D and 3D systems.

Main Methods:

  • Theoretical development of superconductivity in the presence of gauge flux.
  • Analysis of wave function properties in momentum k space.

Main Results:

  • The superconducting gap exhibits nodes as a function of k.
  • These nodes occur where the Fermi surface is penetrated by a gauge string.

Conclusions:

  • Gauge flux in topological electronic bands fundamentally influences superconducting properties.
  • The presence of gauge strings creates specific nodal structures in the superconducting gap, impacting Fermi surface characteristics.

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