Weak-Coupling Theory of Topological Superconductivity by Thomas Scaffidi

Author:Thomas Scaffidi
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

where the index is implicit.

At , the gap equation becomes

(2.99)

The sum over momenta is again dominated by the Fermi surface contribution due to the factor. Using the same Taylor expansion used in Sect. 2.5.2, one finds

(2.100)

After performing the integral over , the equation becomes

(2.101)

where and were defined in Sect. 2.5.2. We choose the normalization of so that . We now take the inner product with the same eigenvector and use the orthonormality of the eigenvectors of g to write

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