Role of small-norm components in extended random-phase approximation
Mitsuru Tohyama
TL;DR
This paper investigates the significance of small-norm amplitudes in extended RPA theories, revealing their importance in strongly interacting regimes with notable ground-state correlations.
Contribution
It demonstrates that small-norm components are crucial in extended RPA for accurately describing strongly correlated systems.
Findings
Small-norm amplitudes are essential in strongly interacting regions.
Neglecting these amplitudes leads to inaccuracies in the extended RPA.
Ground-state correlations significantly influence the role of small-norm components.
Abstract
The role of the small-norm amplitudes in extended RPA theories such as the particle-particle and hole-hole components of one-body amplitudes and the two-body amplitudes other than two particle - two holes components are investigated for the one-dimensional Hubbard model using an extended RPA derived from the time-dependent density-matrix theory. It is found that these amplitudes cannot be neglected in strongly interacting regions where the effects of ground-state correlations are significant.
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