Summary
We study an antiferromagnetic Heisenberg linear chain (AHLC) by using the spectral-density method (SDM). The values of the thermodynamic quantities are obtained as functions of the temperature; our results are compared with the exact ones obtained by other authors atT=0.
Riassunto
Si studia una catena lineare antiferromagnetica di Heisenberg (AHLC) usando il metodo delle densità spettrali (SDM). Il metodo permette di ottenere i valori delle grandezze termodinamiche in funzione della temperatura; si paragonano i risultati ottenuti con quelli esatti ottenuti da altri autori aT=0.
Резюме
Мы исследуем антиферромагнитные линейные цепочки Гайзенберга, используя метод спектральной плотности. Получаются значения термодинамических величин, как функции температуры. Наши результаты сравниваются с точными значениями, полученными другими авторами приT=0.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. A. Abrikosov, L. P. Gor'kov andI. Ye. Dzyaloshinskii:Quantum Field Theory in Statistical Physics (Englewood Cliffs, N. J., 1963).
O. K. Kalashnikov andE. S. Fradkin:Sov. Phys. JETP,28, 317 (1969).
O. K. Kalashnikov andE. S. Fradkin:Phys. Stat. Sol.,59 (b), 9 (1973).
O. K. Kalashnikov andE. S. Fradkin:Sov. Phys. JETP,28, 976 (1969);G. Kamieniarz, A. Popielewicz, R. Micnas andE. Szczepaniak:Phys. Lett.,55 A, 329 (1976).
H. Bethe:Zeits. Phys.,71, 205 (1931);L. Hulthén:Ark. Mat. Astron. Fys.,26 A, No. 11 (1938);R. Orbach:Phys. Rev.,112, 309 (1958);V. L. Ginzburg andV. M. Fain:Sov. Phys. JETP,12, 923 (1961);J. Des Cloizeaux andJ. J. Pearson:Phys. Rev.,128, 2131 (1962);R. B. Griffiths:Phys. Rev.,133, A 768 (1964);J. des Cloizeaux andM. Gaudin:Journ. Math. Phys.,7, 1384 (1966);G. N. Yang andC. P. Yang:Phys. Rev.,150, 321, 327 (1966);151, 258 (1966).
M. Takahashi:Prog. Theor. Phys.,46, 401 (1971);M. Takahashi andM. Suzuki:Prog. Theor. Phys.,48, 2187 (1972).
L. N. Bulaevskii:Sov. Phys. JETP,16, 685 (1963).
S. Inawashiro andS. Katsura:Phys. Rev.,140, A 892 (1965);K. Kawasaki:Ann. of Phys.,37, 142 (1966);J. Kondo andK. Yamoji:Prog. Theor. Phys.,47, 807 (1972);A. Oguchi andY. Tsuchida:Prog. Theor. Phys.,49, 76 (1973);K. Tomita andK. Kawasaki:Prog. Theor. Phys.,49, 1858 (1973).
T. Todani andK. Kawasaki:Prog. Theor. Phys.,50, 1216 (1973).
S. Rodriguez:Phys. Rev.,116, 1474 (1959);K. Meyer:Zeits. Natur.,11 a, 865 (1956);D. Frank:Zeits. Phys.,146, 615 (1956).
Author information
Authors and Affiliations
Additional information
Переведено редакцией.
An erratum to this article is available at http://dx.doi.org/10.1007/BF02739197.
Rights and permissions
About this article
Cite this article
D'Auria, A.C., De Cesare, L. & Esposito, U. The spectral-density approach to an antiferromagnetic Heisenberg linear chain. Nuovo Cim B 38, 116–132 (1977). https://doi.org/10.1007/BF02726215
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02726215