Temperature dependence of spin susceptibility in two-dimensional Fermi liquid systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 74, Issue 20, 2006, Pages

  Shekhter, A ^a   Finkel'stein, A M ^a  

^a NONE

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EID: 33845257328     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.74.205122     Document Type: Article

References (29)

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16. For the amplitude Γ(π) there is also a possibility to look on it in the zero-sound channel. Here a delicate question arises whether a singular combination vF k/(ω- vF k) typical for the particle-hole channel (Ref.) is of any importance. The calculation in Appendix shows that the anomalous part in the product of four Green's functions accumulates from vF k∼ vF p ω. Therefore, when it is treated in the Cooper channel, the bare value for the amplitude Γ(π) is the static amplitude Γk in the particle-hole channel.
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29. It has been checked that these terms involve combinations of harmonics which do not reduce to the backward scattering amplitude. Unlike the two section term, there is only a weak logarithmic singularity near the backward scattering, which is not enough to make the logarithmic renormalizations important in channels other than the Cooper channel.