Onset of Localized Correlation in a Narrow s Band

1972 ◽  
Vol 50 (13) ◽  
pp. 1589-1591
Author(s):  
C. Y. Cheung

The correlation of electrons in a narrow s band is studied by examining the vertex part for the multiple scattering of two electrons of opposite spin. When bare electrons are used in the calculation, there exists a high-lying pole only for a band not approaching half filled. When the electrons are clothed by the simplest self-energy correction, a high energy pole exists even for the half-filled band, in which case, an insulating state is implied.

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
R. N. Lee ◽  
A. I. Onishchenko

Abstract We calculate the master integrals for bipartite cuts of the three-loop propagator QED diagrams. These master integrals determine the spectral density of the photon self energy. Our results are expressed in terms of the iterated integrals, which, apart from the 4m cut (the cut of 4 massive lines), reduce to Goncharov’s polylogarithms. The master integrals for 4m cut have been calculated in our previous paper in terms of the one-fold integrals of harmonic polylogarithms and complete elliptic integrals. We provide the threshold and high-energy asymptotics of the master integrals found, including those for 4m cut.


1979 ◽  
Vol 291 (2) ◽  
pp. 189-197 ◽  
Author(s):  
S. A. Azimov ◽  
L. P. Chernova ◽  
G. M. Chernov ◽  
K. G. Gulamov ◽  
V. Sh. Navotny ◽  
...  

2009 ◽  
Vol 42 (3) ◽  
pp. 392-400 ◽  
Author(s):  
I. B. Ramsteiner ◽  
A. Schöps ◽  
H. Reichert ◽  
H. Dosch ◽  
V. Honkimäki ◽  
...  

Diffuse X-ray scattering has been an important tool for understanding the atomic structure of binary systems for more than 50 years. The majority of studies have used laboratory-based sources providing 8 keV photons or synchrotron radiation with similar energies. Diffuse scattering is weak, with the scattering volume determined by the X-ray absorption length. In the case of 8 keV photons, this is not significantly different from the typical extinction length for Bragg scattering. If, however, one goes to energies of the order of 100 keV the scattering volume for the diffuse scattering increases up to three orders of magnitude while the extinction length increases by only one order of magnitude. This leads to a gain of two orders of magnitude in the relative intensity of the diffuse scattering compared with the Bragg peaks. This gain, combined with the possibility of recording the intensity from an entire plane in reciprocal space using a two-dimensional X-ray detector, permits time-resolved diffuse scattering studies in many systems. On the other hand, diffraction features that are usually neglected, such as multiple scattering, come into play. Four types of multiple scattering phenomena are discussed, and the manner in which they appear in high-energy diffraction experiments is considered.


2015 ◽  
Vol 29 (25n26) ◽  
pp. 1542001
Author(s):  
Lulin Kuang ◽  
Yu Lan ◽  
Huaisong Zhao ◽  
Shiping Feng

In this paper, the high-energy magnetic excitations in cuprate superconductors are studied based on the kinetic energy driven superconducting mechanism. The spin self-energy is evaluated explicitly in terms of the collective charge carrier modes in the particle–hole and particle–particle channels, and employed to calculate the dynamical spin structure factor. Our results show the existence of damped but well-defined dispersive spin excitations in the whole doping phase diagram. In particular, the charge carrier doping has a more modest effect on the high-energy spin excitations, and then the high-energy magnetic excitations retain roughly constant energy as a function of doping, with spectral weights and dispersion relations comparable to those found in the parent compound.


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