Enhanced Perturbative Continuous Unitary Transformations

Details Enhanced Perturbative Continuous Unitary Transformations Enhanced Perturbative Continuous Unitary Transformations

2012-02-14

arxiv.org/abs/1202.3121v1

Physics

Condensed Matter

Strongly Correlated Electrons

25 pages, 16 figures

Scientific paper

Unitary transformations are an essential tool for the theoretical understanding of many systems by mapping them to simpler effective models. A systematically controlled variant to perform such a mapping are perturbative continuous unitary transformations (pCUT) among others. So far, this approach required an equidistant unperturbed spectrum. Here we pursue two goals: First, we extend its applicability to non-equidistant spectra with the particular focus on an efficient derivation of the differential flow equations, which define the enhanced perturbative continuous unitary transformation (epCUT). Second, we show that the numerical integration of the flow equations yields a robust scheme to extract data from the epCUT. The method is illustrated by the perturbation of two-leg spin ladders around the strong-rung-coupling limit for uniform and alternating rung couplings. The latter case provides an example of perturbation around a non-equidistant spectrum.

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