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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 2006 Dec 5;103(49):18874. doi: 10.1073/pnas.0609409103

Correction for Shekhter et al., Branch-cut singularities in thermodynamics of Fermi liquid systems

PMCID: PMC1693755

PHYSICS. For the article “Branch-cut singularities in thermodynamics of Fermi liquid systems,” by Arkady Shekhter and Alexander M. Finkel'stein, which appeared in issue 43, October 24, 2006, of Proc Natl Acad Sci USA (103:15765–15769; first published October 12, 2006; 10.1073/pnas.0607200103), the authors note that, due to a printer's error, Fig. 2 appeared incorrectly. The corrected figure and its legend appear below.

Fig. 2.

Fig. 2.

The diagrams at the top present the ring diagrams in the electron-hole channel. The diagram on the left shows the two-section term that is controlled by the backward scattering; the momenta in the four Green's functions are along the same direction: 1,2 ≈ +kF and 3,4 ≈ −kF. The Green's functions are numbered to keep track of them after the rearrangement in different channels. The diagram on the right at the bottom shows how the two-section term can be read in the 2kF channel. Here, the shaded areas represent the interaction amplitudes in the 2kF channel. The lines inside the shaded areas are drawn to clarify the spin structure and to indicate the source of the relevant renormalizations. The diagrams on the left at the bottom show the result of twisting of the two-section term into the Cooper channel. In the series of Cooper ladder diagrams obtained in this way, only two sections (marked by numbered Green's functions) are responsible for the linear in T term in the spin susceptibility. The role of all other sections is to renormalize logarithmically the e–e interaction amplitudes.


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