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Journal of Siberian Federal University. Mathematics & Physics, 2017, Volume 10, Issue 3, Pages 334–338
DOI: https://doi.org/10.17516/1997-1397-2017-10-3-334-338
(Mi jsfu562)
 

Asymptotically exact method for calculation of density of states in HTSC

Vladimir A. Kashurnikov, Andrey V. Krasavin, Yaroslav V. Zhumagulov

National Research Nuclear University MEPhI, Kashirskoe shosse, 31, Moscow, 115409, Russia
References:
Abstract: The work presents the method of restoring a spectral density from known Green's function. The method is based on a combination of Monte Carlo and gradient descent algorithms, which avoids the problem of distortion of the equation by nonlinear terms and, therefore, analyzes the most representative range of small deviations. Furthermore, the method does not contain sources of systematic errors and, in principle, any spectral function can be parameterized with any desired accuracy. With the use of the method, the spectral density of states was restored for FeAs-based superconductors. The method works well also for metal nanoclusters and many other systems.
Keywords: Fredholm integral equation, quantum Monte-Carlo algorithm, density of states.
Funding agency Grant number
Russian Foundation for Basic Research 14-08-00509
15-02-02764
The work was supported by Russian Found for Basic Research (projects # 14-08-00509 and # 15-02-02764).
Received: 28.12.2016
Received in revised form: 16.02.2017
Accepted: 28.03.2017
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Vladimir A. Kashurnikov, Andrey V. Krasavin, Yaroslav V. Zhumagulov, “Asymptotically exact method for calculation of density of states in HTSC”, J. Sib. Fed. Univ. Math. Phys., 10:3 (2017), 334–338
Citation in format AMSBIB
\Bibitem{KasKraZhu17}
\by Vladimir~A.~Kashurnikov, Andrey~V.~Krasavin, Yaroslav~V.~Zhumagulov
\paper Asymptotically exact method for calculation of density of states in HTSC
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 3
\pages 334--338
\mathnet{http://mi.mathnet.ru/jsfu562}
\crossref{https://doi.org/10.17516/1997-1397-2017-10-3-334-338}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412015000011}
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