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Published on: March 24, 2019
Spin-Triplet Superconductivity from Quantum-Geometry-Induced Ferromagnetic Fluctuation
Taisei Kitamura1, Akito Daido1, Youichi Yanase1
1Department of Physics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan.
Quantum geometry drives ferromagnetic fluctuations, leading to spin-triplet superconductivity. This occurs particularly with non-Kramers band degeneracy, where quantum metrics favor such fluctuations.
Area of Science:
- Condensed matter physics
- Quantum materials
Background:
- Superconductivity is a quantum mechanical phenomenon where a material can conduct electricity with zero resistance.
- Spin-triplet superconductivity is a less common form with unique properties.
- Understanding the mechanisms driving different types of superconductivity is crucial for materials science.
Purpose of the Study:
- To investigate the role of quantum geometry in inducing ferromagnetic fluctuations.
- To establish the link between quantum geometry, ferromagnetic fluctuations, and spin-triplet superconductivity.
- To clarify the criteria for ferromagnetic fluctuation in novel superconducting materials.
Main Methods:
- Analysis of effective mass and quantum geometry contributions to ferromagnetic fluctuation.
- Utilizing the Fubini-Study quantum metric to assess its influence on ferromagnetic fluctuation.
- Solving the linearized gap equation using random phase approximation for effective interactions.
Main Results:
- Quantum geometry was shown to induce ferromagnetic fluctuations.
- The Fubini-Study quantum metric significantly favors ferromagnetic fluctuation in the presence of non-Kramers band degeneracy near the Fermi surface.
- Spin-triplet superconductivity is mediated by these quantum-geometry-induced ferromagnetic fluctuations.
Conclusions:
- Quantum geometry is a key factor in realizing spin-triplet superconductivity.
- The findings provide a new pathway for designing materials with specific superconducting properties.
- This work deepens the understanding of the interplay between topology and electronic correlations in superconductors.
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