Compressing Green's function using intermediate representation between imaginary-time and real-frequency domains

By H. Shinaoka, J. Otsuki, Masayuki Ohzeki, K. Yoshimi. 2017

134 citations recorded by the source corpus.

New model-independent compact representations of imaginary-time data are presented in terms of the intermediate representation (IR) of analytical continuation. This is motivated by a recent numerical finding by the authors [J. Otsuki et al., arXiv:1702.03056]. We demonstrate the efficiency of the IR through continuous-time quantum Monte Carlo calculations of an Anderson impurity model. We find that the IR yields a significantly compact form of various types of correlation functions. The present framework will provide general ways to boost the power of cutting-edge diagrammatic/quantum Monte Carlo treatments of many-body systems.

Subfields: Computational Mechanics, Condensed Matter Physics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/f8d7bcd2d0ae5fe7d3c4ba239daa2af59a83b4bc

How researchers see this paper

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In Condensed Matter Physics

1. A. Rubtsov
2. Hartmut Hafermann
3. M. Katsnelson
4. K. Held
5. Alessandro Toschi
6. A. Antipov
7. A. Katanin
8. G. Rohringer

In Electronic, Optical and Magnetic Materials

1. A. Rubtsov
2. K. Held
3. Alessandro Toschi
4. M. Katsnelson
5. Hartmut Hafermann
6. A. Katanin
7. G. Rohringer

Citations in the corpus

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory (2017, methodology): “The measurement scales as O(N2N2l Nω) Shinaoka et al., 2017b introduced an intermediate representation between the imaginary-time and real-frequency domains.”