The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Communication: Padé spectrum decomposition of Fermi function and Bose function
Abstract
Padé approximant is exploited for an efficient sum-over-poles decomposition of Fermi and Bose functions. The resulting poles are all pure imaginary and can therefore be used to define Padé frequencies, in analogy with the celebrated Matsubara frequencies. The proposed Padé spectrum decomposition is shown to be equivalent to a truncated continued fraction. It converges significantly faster than other schemes such as the Matsubara expansion at all temperatures. By introducing the characteristic validity length as the measure of approximant, we analyze the convergence properties of different schemes thoroughly. Our results qualify the present scheme the best among all sum-over-poles approaches. Thus, it is of great value in efficient numerical evaluations of integrals involving Fermi/Bose function in various condensed-phase matter problems.
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Cites
Mahan, G. D. (2000) · doi:10.1007/978-1-4757-5714-9 · Cited by 8,249
Tanimura, Y. (2006) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.75.082001 · Cited by 891
Ishizaki, A., & Tanimura, Y. (2005) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.74.3131 · Cited by 511
Jin, J., Zheng, X., & Yan, Y. (2008) · The Journal of Chemical Physics · doi:10.1063/1.2938087 · Cited by 454
Self-citationExact quantum master equation via the calculus on path integrals
Xu, R.-X., Cui, P., Li, X.-Q., Mo, Y., & Yan, Y. (2005) · The Journal of Chemical Physics · doi:10.1063/1.1850899 · Cited by 266
Self-citationXu, R.-X., & Yan, Y. (2007) · Physical Review E · doi:10.1103/physreve.75.031107 · Cited by 179
Self-citationOzaki, T. (2007) · Physical Review B · doi:10.1103/physrevb.75.035123 · Cited by 169
Numerical approach to time-dependent quantum transport and dynamical Kondo transition
Zheng, X. H., Jin, J., Welack, S., Luo, M., & Yan, Y. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3123526 · Cited by 121
Self-citationPartial fraction decomposition of the Fermi function
Croy, A., & Saalmann, U. (2009) · Physical Review B · doi:10.1103/physrevb.80.073102 · Cited by 42
Hierarchical theory of quantum dissipation: Partial fraction decomposition scheme
Xu, J., Xu, R., Luo, M., & Yan, Y. (2009) · Chemical Physics · doi:10.1016/j.chemphys.2009.12.002 · Cited by 12
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Cited by
Schröter, M., Ivanov, S. D., Schulze, J., Polyutov, S. P., Yan, Y., Pullerits, T., & Kühn, O. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.12.001 · Cited by 255
Self-citationModelling of oscillations in two-dimensional echo-spectra of the Fenna–Matthews–Olson complex
Hein, B., Kreisbeck, C., Kramer, T., & Rodríguez, M. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/2/023018 · Cited by 120
Metadata
- Authors
- Hu, J., Xu, R.-X., & Yan, Y.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 2010-09-14
- Volume
- 133
- Issue
- 10
- Pages
- 101106-101106
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W1989988474
- Cited by
- 260
- References
- 10
- FWCI
- 16.29
- Type
- journal article
- Language
- en
- Open access
- closed
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