Single-particle Green's function in an anisotropic Heisenberg model
Teoretičeskaâ i matematičeskaâ fizika, Tome 14 (1973) no. 1, pp. 102-122 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

It is shown that a number of first-order theories that are widely used in the quantum theory of a uniaxially anisotropic Heisenberg ferromagnet with spin $1/2$ can be obtained in a simple and unified manner on the basis of a formally exact solution of the equation of motion for the single-magnon Green's function. All these theories give a renormalization of the energy of Btoch magnons without allowance for damping and differ by the degree to which the dynamic and the kinematic interaction are allowed for in an estimate of the spectrum in the generalized Hartree–Fok approximation.
@article{TMF_1973_14_1_a9,
     author = {Yu. G. Rudoi and Yu. A. Tserkovnikov},
     title = {Single-particle {Green's} function in an anisotropic {Heisenberg} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {102--122},
     year = {1973},
     volume = {14},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_14_1_a9/}
}
TY  - JOUR
AU  - Yu. G. Rudoi
AU  - Yu. A. Tserkovnikov
TI  - Single-particle Green's function in an anisotropic Heisenberg model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1973
SP  - 102
EP  - 122
VL  - 14
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1973_14_1_a9/
LA  - ru
ID  - TMF_1973_14_1_a9
ER  - 
%0 Journal Article
%A Yu. G. Rudoi
%A Yu. A. Tserkovnikov
%T Single-particle Green's function in an anisotropic Heisenberg model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1973
%P 102-122
%V 14
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1973_14_1_a9/
%G ru
%F TMF_1973_14_1_a9
Yu. G. Rudoi; Yu. A. Tserkovnikov. Single-particle Green's function in an anisotropic Heisenberg model. Teoretičeskaâ i matematičeskaâ fizika, Tome 14 (1973) no. 1, pp. 102-122. http://geodesic.mathdoc.fr/item/TMF_1973_14_1_a9/

[1] S. V. Tyablikov, Metody kvantovoi teorii magnetizma, «Nauka», 1965 | MR

[2] C. N. Jang, C. P. Jang, Phys. Rev., 147 (1966), 303 ; 150, 321; (1966), 327 | DOI | MR

[3] T. Matsubara, H. Matsuda, Progr. Theor. Phys., 16, 416 ; 17 (1956), 569 | DOI | MR | DOI | MR

[4] M. Wortis, Thesis, Harvard Univ., 1963; Phys. Rev., 138 (1965), A1126 | DOI | MR

[5] H. B. Callen, Phys. Rev., 130 (1963), 890 | DOI | Zbl

[6] F. Bloch, Z. Phys., 61 (1930), 206 | DOI | Zbl

[7] T. Holstein, H. Primakoff, Phys. Rev., 58 (1940), 1098 | DOI | Zbl

[8] J. Goldstone, Nuovo Cim., 19 (1961), 154 | DOI | MR | Zbl

[9] N. N. Bogolyubov, Physica, 26 (1960), S1 ; Квазисредние в задачах статистической механики, Препринт R-1451, Дубна, 1963; Собр. соч., т. 3, «Наукова думка», 1971 | DOI | Zbl

[10] R. V. Lange, Phys. Rev., 146 (1966), 301 | DOI

[11] C. Kittel, H. Shore, Phys. Rev., 138 (1965), A1165 | DOI | MR

[12] C. Bloch, J. S. Langer, J. Math. Phys., 6 (1965), 554 | DOI | MR

[13] Yu. G. Rudoi, DAN SSSR, 174 (1967), 316 ; ТМФ, 2 (1970), 129

[14] Th. Nimeijer, Physica, 48 (1970), 467 ; G. Scharf, Phys. Let., 38A (1972), 123 | DOI | DOI

[15] R. Braut, Fazovye perekhody, «Mir», 1967

[16] N. N. Bogolyubov, S. V. Tyablikov, DAN SSSR, 126 (1959), 539

[17] T. Oguchi, A. Honma, J. Appl. Phys., 34 (1963), 1153 | DOI

[18] J. A. Copeland, H. A. Gersch, Phys. Rev., 143 (1965), 236 | DOI

[19] S. T. Dembinski, Can. J. Phys., 46, 1021 ; (1968), 1502 | DOI | DOI

[20] K. Moorjani, T. Tanaka, Phys. Lett., 28A, 645; 29A (1969), 188 | DOI

[21] S. Katsura, T. Horiguchi, J. Phys. Soc. Jap., 25 (1968), 60 | DOI

[22] V. Mubayi, R. V. Lange, Phys. Rev., 178 (1969), 882 | DOI

[23] R. P. Kenan, Phys. Rev., B1 (1970), 3205 | DOI

[24] T. Shimizu, J. Phys. Soc. Jap., 28 (1970), 827 ; 30 (1972), 1292 | DOI | DOI

[25] T. Morita et al., J. Phys. Soc. Jap., 29 (1970), 84 | DOI

[26] Yu. G. Rudoi, Sovremennoe sostoyanie metoda funktsii Grina v teorii magnetizma, Sb. pamyati S. V. Tyablikova, «Nauka», 1973 (to appear) | MR

[27] Yu. A. Tserkovnikov, TMF, 7 (1971), 250

[28] L. Roth, Phys. Rev. Let., 20 (1968), 1431 ; Phys. Rev., 184 (1969), 451 | DOI | DOI

[29] O. K. Kalashnikov, E. S. Fradkin, ZhETF, 55 (1968), 607

[30] K. Sawada, Progr. Theor. Phys., 43 (1970), 1199 | DOI

[31] D. C. Wallace, Phys. Rev., 152, 247 ; (1966), 261 | DOI | Zbl | DOI

[32] F. J. Dyson, Phys. Rev., 102, 1217 ; (1956), 1230 | DOI | MR | Zbl | DOI | MR

[33] W. Opechowsky, Physica, 4 (1937), 181 ; 6 (1938), 1112 | DOI | DOI

[34] G. N. Watson, Quart. J. Math., 10 (1939), 266 | DOI | Zbl

[35] M. Bloch, Phys. Rev. Lett., 9 (1962), 286 ; J. Appl. Phys., 34 (1963), 1151 | DOI | DOI

[36] J. Keffer, R. Loudon, J. Appl. Phys., 32S (1962), 2 | MR

[37] J. F. Cooke, Phys. Rev., B2 (1970), 220 ; P. D. Loly, J. Phys., C1 (1971), 1365 | DOI

[38] J. F. Cooke, Phys. Rev. Lett., 24 (1970), 394 | DOI

[39] C. W. Haas, H. S. Jarrett, Phys. Rev., 135 (1964), A1089 | DOI | MR

[40] S. V. Tyablikov, T. Shiklosh, Acta Phys. Hung., 12 (1960), 35 ; Г. Конвент, Т. Шиклош, Препринт P4-3671, ОИЯИ, 1968 | DOI | MR | Zbl

[41] J. Dalton, D. Wood, Proc. Phys. Soc., A90 (1967), 459 ; L. Flax, J. Raich, Phys. Rev., 185 (1969), 797 ; T. Oguchi, J. Phys. Soc. Jap., 30 (1971), 988 | DOI | DOI | DOI

[42] R. Brout, F. Englert, Bull. Am. Phys. Soc., 5 (1960), 118; F. Englert, Phys. Rev. Lett., 5 (1950), 102 | DOI

[43] V. L. Ginzburg, V. M. Fain, ZhETF, 39 (1960), 1323 | Zbl

[44] L. Flax, J. C. Raich, Phys. Rev., B3 (1971), 186 | DOI

[45] R. H. Swendsen, Phys. Rev., B5 (1972), 116 | DOI

[46] A. C. Hewson, D. ter Haar, Phys. Lett., 6 (1963), 136 | DOI

[47] A. Oguchi, Progr. Theor. Phys., 44 (1970), 1548 ; 46 (1971), 63 | DOI | DOI

[48] V. Mubayi, Lett. Nuovo Cim., 3 (1970), 824 | DOI

[49] T. Kuramoto, Progr. Theor. Phys., 41 (1969), 845 | DOI

[50] N. D. Mermin, H. Wagner, Phys. Rev. Lett., 17 (1966), 1133 | DOI | MR

[51] I. Ortenburger, Phys. Rev., 136A (1963), 1374 | MR

[52] J. F. Cooke, H. A. Gersch, Phys. Rev., 153 (1967), 641 | DOI

[53] M. E. Lines, Phys. Rev., B3 (1971), 1749 | DOI