Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 80, Issue 5, Pages -Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.80.054702
Keywords
odd-frequency superconductivity; Stratonovich-Hubbard transformation; saddle-point approximation; Meissner kernel
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Funding
- Ministry of Education, Culture, Sports, Science, and Technology, Japan (MEXT) [20102008]
- MEXT [22103003]
- Japan Society for the Promotion of Science (JSPS) [19340099, 21840035]
- Grants-in-Aid for Scientific Research [20102008, 22103001, 23540414, 21840035, 19340099] Funding Source: KAKEN
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Since the first theoretical proposal by Berezinskii, an odd-frequency superconductivity has encountered the fundamental problems on its thermodynamic stability and rigidity of a homogenous state accompanied by unphysical Meissner effect. Recently, Solenov et al. [Phys. Rev. B 79 (2009) 132502] have asserted that the path-integral formulation gets rid of the difficulties leading to a stable homogenous phase with an ordinary Meissner effect. Here, we show that it is crucial to choose the appropriate saddle-point solution that minimizes the effective free energy, which was assumed implicitly in the work by Solenov and co-workers. We exhibit the path-integral framework for the odd-frequency superconductivity with general type of pairings, including an argument on the retarded functions via the analytic continuation to the real axis.
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