Yang-Lee Zeros, Semicircle Theorem, and Nonunitary Criticality in 
Bardeen-Cooper-Schrieffer Superconductivity

Li,  Hongchao; Yu, Xie-Hang; Nakagawa,  Masaya; Ueda,  Masahito

doi:10.1103/PhysRevLett.131.216001

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Yang-Lee Zeros, Semicircle Theorem, and Nonunitary Criticality in Bardeen-Cooper-Schrieffer Superconductivity

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Yu, Xie-Hang
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

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Zitation

Li, H., Yu, X.-H., Nakagawa, M., & Ueda, M. (2023). Yang-Lee Zeros, Semicircle Theorem, and Nonunitary Criticality in Bardeen-Cooper-Schrieffer Superconductivity. Physical Review Letters, 131: 216001. doi:10.1103/PhysRevLett.131.216001.

Zitierlink: https://hdl.handle.net/21.11116/0000-000C-BF9A-0

Zusammenfassung

We investigate the Yang-Lee singularity in BCS superconductivity, and find
that the zeros of the partition function accumulate on the boundary of a
quantum phase transition, which is accompanied by nonunitary quantum critical
phenomena. By applying the renormalization-group analysis, we show that
Yang-Lee zeros distribute on a semicircle in the complex plane of interaction
strength for general marginally interacting systems.