Journal
PHYSICAL REVIEW B
Volume 99, Issue 18, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.99.184512
Keywords
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Funding
- Ministry of Education, Culture, Sports, Science, and Technology, Japan (MEXT) [JP15H05851, JP15H05853, JP15K21717, JP18H01176]
- Japan Society for Promotion of Science (JSPS) KAKENHI [18K13490]
- Grants-in-Aid for Scientific Research [18K13490] Funding Source: KAKEN
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Odd-frequency Cooper pairs with chiral symmetry emerging at the edges of topological superconductors are a useful physical quantity for characterizing the topological properties of these materials. In this work, we show that the odd-frequency Cooper pair amplitudes can be expressed by a winding number extended to a nonzero frequency, which is called a spectral bulk-boundary correspondence, and can be evaluated from the spectral features of the bulk. The odd-frequency Cooper pair amplitudes are classified into two categories: the amplitudes in the first category have the singular functional form similar to 1/z (where z is a complex frequency) that reflects the presence of a topological surface Andreev bound state, whereas the amplitudes in the second category have the regular form similar to z and are regarded as nontopological. We discuss the topological phase transition by using the coefficient in the latter category, which undergoes a power-law divergence at the topological phase transition point and is used to indicate the distance to the critical point. These concepts are established based on several concrete models, including a Rashba nanowire system that is promising for realizing Majorana fermions.
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