Vortices and Chirality in Multi-Band Superconductors
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概要
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We investigate some significant properties of multi-band superconductors. They are time-reversal symmetry breaking, chirality and fractional quantum flux vortices in three-band superconductors. The Bardeen--Cooper--Schrieffer (BCS) gap equation has a solution with time-reversal symmetry breaking in some cases. We derive the Ginzburg--Landau free energy from the BCS microscopic theory. The frustrating pairing interaction among Fermi surfaces leads to a state with broken time-reversal symmetry, that is, a chiral solution. The Ginzburg--Landau equation for three-component superconductors leads to a double sine-Gordon model. A kink solution exists to this equation as in the conventional sine-Gordon model. In the chiral region of the double sine-Gordon model, an inequality of Bogomol'nyi type holds, and fractional-\pi kink solutions exist with the topological charge Q. This yields multi-vortex bound states in three-band superconductors.
- 2012-02-15
著者
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TANAKA Yasumoto
Electrotechnical Laboratory
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Yanagisawa Takashi
Electrotechnical Laboratory
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Yamaji Kunihiko
Electro-technical Laboratory
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Hase Izumi
Electronics and Photonics Research Institute, National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba Central 2, Tsukuba, Ibaraki 305-8568, Japan
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Tanaka Yasumoto
Electronics and Photonics Research Institute, National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba Central 2, Tsukuba, Ibaraki 305-8568, Japan
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Yanagisawa Takashi
Electronics and Photonics Research Institute, National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba Central 2, Tsukuba, Ibaraki 305-8568, Japan
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Yanagisawa Takashi
Electronics and Photonics Research Institute, AIST, Central 2, Tsukuba, Ibaraki 305-8568, Japan
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