Geodesic
Asymptotically exact method for calculation of density of states in HTSC
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 3, pp. 334-338
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{JSFU_2017_10_3_a10,
     author = {Vladimir A. Kashurnikov and Andrey V. Krasavin and Yaroslav V. Zhumagulov},
     title = {Asymptotically exact method for calculation of density of states in {HTSC}},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {334--338},
     year = {2017},
     volume = {10},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a10/}
}
TY  - JOUR
AU  - Vladimir A. Kashurnikov
AU  - Andrey V. Krasavin
AU  - Yaroslav V. Zhumagulov
TI  - Asymptotically exact method for calculation of density of states in HTSC
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2017
SP  - 334
EP  - 338
VL  - 10
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a10/
LA  - en
ID  - JSFU_2017_10_3_a10
ER  - 
%0 Journal Article
%A Vladimir A. Kashurnikov
%A Andrey V. Krasavin
%A Yaroslav V. Zhumagulov
%T Asymptotically exact method for calculation of density of states in HTSC
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2017
%P 334-338
%V 10
%N 3
%U http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a10/
%G en
%F JSFU_2017_10_3_a10
Vladimir A. Kashurnikov; Andrey V. Krasavin; Yaroslav V. Zhumagulov. Asymptotically exact method for calculation of density of states in HTSC. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 3, pp. 334-338. http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a10/

[1] V. Anisimov, Yu. Izyumov, Electronic Structure of Strongly Correlated Materials, Springer, 2010

[2] M. Jarrell, J. E. Gubernatis, Phys. Rep., 269 (1996), 135 | DOI | MR

[3] A. S. Mishenko, N. V. Prokof'ev, A. Sakamoto, B. V. Svistunov, Phys. Rev. B, 62 (2000), 6317 | DOI

[4] A. Moreo, M. Daghofer, J. A. Riera, E. Dagotto, Phys. Rev. B, 79 (2009), 134502 | DOI

[5] Y. Kamihara, T. Watanabe, M. Hirano, H. Hosono,, J. Am. Chem. Soc., 130 (2008), 3296 | DOI

[6] V. A. Kashurnikov, A. V. Krasavin, JETP Lett., 97 (2013), 333 | DOI

[7] C. Liu, G. D. Samoluyk, Y. Lee et al., Phys. Rev. Lett., 101 (2008), 177005 | DOI

[8] V. I. Anisimov, E. Z. Kurmaev, A. Moewes, Yu. A. Izymov, Physica C, 469 (2009), 442 | DOI