Anomalous _spectral __function of ___superconductors Tomáš Bzdušek Advisor: Doc. RNDr. Richard...
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Transcript of Anomalous _spectral __function of ___superconductors Tomáš Bzdušek Advisor: Doc. RNDr. Richard...
![Page 1: Anomalous _spectral __function of ___superconductors Tomáš Bzdušek Advisor: Doc. RNDr. Richard Hlubina, CSc. 13. 11. 2012 #2.](https://reader035.fdocuments.net/reader035/viewer/2022062421/56649e2a5503460f94b18659/html5/thumbnails/1.jpg)
Anomalous _spectral __function of ___superconductorsTomáš BzdušekAdvisor: Doc. RNDr. Richard Hlubina, CSc.
13. 11. 2012
#2
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Laplace Jaynes
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Jaynes
Take probability distribution which• is compatible with our
information,• and which has the maximum
possible entropy!
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Jaynes
If cube is replaced with a many-particle system…
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Jaynes
What is the use in my problem?
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probabilistic interpretation!
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Naïve method of analytic continuation:Padé approximants
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Fresh resultsand a comparison to BCS model
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Fresh results – A(x)
l = 1, T/w0 = 0.005, n = 2500, E=25, r = 30, s = 2, ek = 0
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Fresh results – B(x)
l = 1, T/w0 = 0.005, n = 2500, E=25, r = 35, s = 2, ek = 0
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Fresh results – Z(x) on real axis
l = 1, T/w0 = 0.005, n = 2500, E=25, r = 45, s = 2
RealImaginary
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Fresh results – D(x) on real axis
l = 1, T/w0 = 0.005, n = 2500, E=25, r = 45, s = 2
RealImaginary
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References E. T. Jaynes: Information Theory and Statistical Mechanics, Phys. Rev.
106, 620—630 (1957)
R. N. Silver, D. S. Sivia, J. E. Gubernatis: Maximum-entropy method for analytic continuation of quantum Monte Carlo data, Phys. Rev. B 41, 2380—2389 (1990)
H. J. Vidberg, J. W. Serene: Solving the Eliashberg equations by means of N-point Padé approximants, J. of Low Temperature Physics 3-4, 179—192 (1977)
K. S. D. Beach, R. J. Gooding, F. Marsiglio: Reliable Padé analytical continuation method based on a high-accuracy symbolic computation algorithm, Phys. Rev. B 61, 5147—5157 (2000)
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RealImaginary
Thank you for your attention!