Pairing and polarization in electron-boson systems with retarded interactions via dynamical mean-field theory

Physical Review B - Condensed Matter and Materials Physics

Volumn 73, Issue 24, 2006, Pages

  Ciuchi, Sergio ^a   Sangiovanni, Giorgio ^b,d   Capone, Massimo ^b,c  

^a UNIVERSITY OF L'AQUILA   (Italy)

^b UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^c ISC CNR   (Italy)

^d MAX PLANCK INSTITUT FÜR FESTKÖRPERFORSCHUNG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745355261     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.245114     Document Type: Article

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23. This finding is analogous to the relation between imaginary-time correlation function of X and charge correlation for the attractive Hubbard model (i.e., the antiadiabatic limit of the Holstein model), where X is the Hubbard-Stratonovich field introduced to decouple the interaction. Here we show that the same kind of relation holds also for finite phonon frequency when X is replaced by the centroid variable Xc.
24. Notice that in the partition functions appearing in Eq. 8 the bath propagator G0 -1 (τ) is the one obtained for μ=0. Therefore the response functions obtained from Eq. 8 are local quantities measuring the response to a chemical potential acting only on the impurity site.
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