scholarly journals Single-boson exchange decomposition of the vertex function

2019 ◽  
Vol 100 (15) ◽  
Author(s):  
Friedrich Krien ◽  
Angelo Valli ◽  
Massimo Capone
2001 ◽  
Vol 511 (1) ◽  
pp. 33-39 ◽  
Author(s):  
R.F. Wagenbrunn ◽  
S. Boffi ◽  
W. Klink ◽  
W. Plessas ◽  
M. Radici

2013 ◽  
Vol 5 (3) ◽  
pp. 457-467 ◽  
Author(s):  
P. Jeyanthi ◽  
T. Saratha Devi

An injective map f : E(G) ? {±1, ±2, … ,±q } is said to be an edge pair sum labeling of a graph G(p, q) if the induced vertex function f*:V(G) ? Z – {0} defined by f*(?) = ?e?E? f(e)   is one-one, where  denotes the set of edges in G that are incident with a vertex v and  f*(V(G)) is either of the form {±k1, ±k2, … , ±kp/2} or {±k1, ±k2, … , ±k(p-1)/2}U{kp/2}according as p is even or odd. A graph with an edge pair sum labeling is called an edge pair sum graph. In this paper we prove that path Pn, cycle Cn, triangular snake, PmUK1,n, Cn?Kmc are edge pair sum graphs. Keywords: Pair sum graph, edge pair sum labeling, edge pair sum graph.© 2013 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi: http://dx.doi.org/10.3329/jsr.v5i3.15001 J. Sci. Res. 5 (3), 457-467 (2013)


1970 ◽  
Vol 43 (2) ◽  
pp. 407-424 ◽  
Author(s):  
Masayoshi Kikugawa ◽  
Wataro Watari ◽  
Minoru Yonezawa

2005 ◽  
Vol 19 (01n03) ◽  
pp. 107-109 ◽  
Author(s):  
E. A. PASHITSKII ◽  
V. I. PENTEGOV

We present results of numerical calculations emphasizing the central role of the Coulomb interaction in the mechanism of d-wave Cooper pairing in layered cuprate metal-oxides. We demonstrate that many-particle Coulomb correlation described by the Coulomb vertex function Γ substantially enhances the effective electron-electron attraction in the d-wave Cooper-pairing channel in these compounds. Such a "Coulomb" mechanism of anisotropic Cooper pairing may provide high superconducting transition critical temperatures (Tc⩾100 K ) for optimum-doped cuprates.


1993 ◽  
Vol 07 (01) ◽  
pp. 13-18 ◽  
Author(s):  
G. D. MAHAN

The vertex function is derived for electron–electron interactions which includes all ladder diagrams on all vertices. The equation has a fractal character because the end of each ladder has a vertex which is dressed by more ladders. Numerical solutions are presented show the vertex function gives excellent Hubbard corrections to the dielectric function.


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