Particle-like excitations in systems described by the Hubbard model without the chirality condition
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 1, pp. 86-90
V. K. Fedyanin. Particle-like excitations in systems described by the Hubbard model without the chirality condition. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 1, pp. 86-90. http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a7/
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     title = {Particle-like excitations in systems described by the {Hubbard} model without the chirality condition},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Consideration is given to the consequences of giving up the chirality condition and the assumptions about the nature of the dynamics in the Hubbard model used by Lindner and Fedyanin [1]. A self-consistent pair of soliton solutions is found for the case when the electron-phonon interaction is switched off ($I=0$) and their possible modifications for $I\ne0$ are discussed.

[1] Lindner V., Fedyanin V. K., “Solitons in a One-Dimensional Model”, Phys. Stat. Sol. (b), 89 (1978), 123–129 | DOI | MR

[2] Habbard J., “Electron Correlations in Narrow Energy Bands”, Proc. Roy. Soc., 276A (1963), 238–257 | DOI

[3] Lieb E. H., Wu F. Y., “Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension”, Phys. Rev. Lett., 20:25 (1968), 1445–1448 | DOI

[4] Fedyanin V. K., Makhankov V. G., Yakushevich L. V., “Exciton-Phonon Interaction in Long-Wave Length Approximation”, Phys. Lett., 61A:3–4 (1977), 256–259 ; Федянин В. К., Якушевич Л. В., “Элементарные возбуждения в одномерных системах с резонансным взаимодействием”, ТМФ, 37:3 (1978), 371–381 | DOI

[5] Fedyanin V. K., Yushanchai V. Y., “One-Dimensional Anisotropic Magnetic in the Long-Wave Length Approximation”, Phys. Lett., 70A:5, 6 (1979), 459–460 | DOI | MR

[6] Lindner V., Fedyanin V. K., “Solitary Solutions in a Modified Hubbard Chain”, Phys. Stat. Sol. (b), 95 (1979), K83–K87 | DOI

[7] Makhankov V. G., Fedyanin V. K., “Solitonopodobnye resheniya uravnenii, opisyvayuschikh vozbuzhdeniya v odnomernykh molekulyarnykh kristallakh”, DAN SSSR, 236:4 (1977), 838–841 | MR

[8] Makhankov V. G., Fedyanin V. K., “Novyi vid kollektivnykh chastitsepodobnykh vozbuzhdenii v odnomernykh sistemakh s rezonansnym vzaimodeistviem”, TMF, 39:3 (1979), 381–392

[9] Manakov S. V., ZhETF, 65 (1973), 505

[10] Makhankov V. G., Makhaldiani N. V., Pashaev O. K., Ob integriruemosti i izotopicheskoi strukture odnomernoi modeli Khabbarda v dlinnovolnovom priblizhenii, Preprint OIYaI P2-80-823, OIYaI, Dubna, 1980