The renormalized projection operator technique for quadratic stochastic differential equations. II

1974 ◽  
Vol 15 (10) ◽  
pp. 1740-1744 ◽  
Author(s):  
Vincent A. LoDato
Keyword(s):  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Projection Operator ◽  
Operator Technique ◽  
Projection Operator Technique

scholarly journals Magnetic Response of Pr1-xLaCexCuO4 in Comparison with Hole-Doped Cuprates

2014 ◽  
Vol 215 ◽  
pp. 11-16
Author(s):  
Alexei Sherman
Keyword(s):  
Magnetic Susceptibility ◽  
Superconducting State ◽  
Projection Operator ◽  
Low Frequency ◽  
Spin Excitation ◽  
Magnetic Response ◽  
Operator Technique ◽  
Electron Band ◽  
Spin Excitations ◽  
Projection Operator Technique

The magnetic susceptibility of the optimally doped Pr1-xLaCexCuO4in the superconducting state is calculated using thet-Jmodel of Cu-O planes, the Mori projection operator technique, and the dispersion of electron bands derived from photoemission experiments. The electron band folding across the antiferromagnetic Brillouin zone border, which is inherent in the crystal, leads to a commensurate low-frequency response. The same band folding causes the appearance of a supplementary spin-excitation branch, which coexists with usual spin excitations. This coexistence can explain two maxima observed in the frequency dependence of the susceptibility. The two nested spin-excitation branches lead to a comb of closely spaced peaks in momentum cuts, which presumably are not resolved in experiment, being seen as a broad commensurate peak up to 100 meV. Reasons for differences in magnetic responses of electron- and hole-doped cuprates are discussed.

scholarly journals Adapted projection operator technique for the treatment of initial correlations

2021 ◽  
Vol 104 (5) ◽  
Author(s):  
Andrea Trevisan ◽  
Andrea Smirne ◽  
Nina Megier ◽  
Bassano Vacchini
Keyword(s):  
Projection Operator ◽  
Operator Technique ◽  
Initial Correlations ◽  
Projection Operator Technique
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