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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 162, Number 2, Pages 216–226
DOI: https://doi.org/10.4213/tmf6465 (Mi tmf6465) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Cluster perturbation theory for spin Hamiltonians

A. S. Ovchinnikov, I. G. Bostrem, Vl. E. Sinitsyn

Ural State University, Ekaterinburg, Russia
Full-text PDF (630 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf6465
Abstract: We extend cluster perturbation theory to quantum spin systems. As an application, we calculate the spectral function and the density of states of one-particle excitations of a chain of spin 1/2 particles with alternating exchange interaction.
Keywords: cluster perturbation theory, singlet magnetics, spin chain.
Received: 04.08.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 162, Issue 2, Pages 179–187
DOI: https://doi.org/10.1007/s11232-010-0013-7
Bibliographic databases:
Language: Russian
Citation: A. S. Ovchinnikov, I. G. Bostrem, Vl. E. Sinitsyn, “Cluster perturbation theory for spin Hamiltonians”, TMF, 162:2 (2010), 216–226; Theoret. and Math. Phys., 162:2 (2010), 179–187
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6465
  • https://doi.org/10.4213/tmf6465
  • https://www.mathnet.ru/eng/tmf/v162/i2/p216
    • This publication is cited in the following 7 articles:
    1. Yue-Yue Chang, Jun-Qing Cheng, Hui Shao, Dao-Xin Yao, Han-Qing Wu, “Magnon, doublon and quarton excitations in 2D S=1/2 trimerized Heisenberg models”, Front. Phys., 19:6 (2024)  crossref
    2. Fumagalli R., Heverhagen J., Betto D., Arpaia R., Rossi M., Di Castro D., Brookes N.B., Sala M.M., Daghofer M., Braicovich L., Wohlfeld K., Ghiringhelli G., “Mobile Orbitons in Ca2Cuo3: Crucial Role of Hund'S Exchange”, Phys. Rev. B, 101:20 (2020), 205117  crossref  isi
    3. Heverhagen J., Daghofer M., “Spinon-Orbiton Repulsion and Attraction Mediated By Hund'S Rule”, Phys. Rev. B, 98:8 (2018), 085120  crossref  isi  scopus
    4. Them K., Vedmedenko E.Y., Fredenhagen K., Wiesendanger R., “Bounds on Expectation Values of Quantum Subsystems and Perturbation Theory”, J. Phys. A-Math. Theor., 48:7 (2015), 075301  crossref  mathscinet  zmath  adsnasa  isi  scopus
    5. Cheng-Chien Chen, Michel van Veenendaal, Thomas P. Devereaux, Krzysztof Wohlfeld, “Fractionalization, entanglement, and separation: Understanding the collective excitations in a spin-orbital chain”, Phys. Rev. B, 91:16 (2015)  crossref
    6. David Sénéchal, Springer Series in Solid-State Sciences, 171, Strongly Correlated Systems, 2012, 237  crossref
    7. Irene G. Bostrem, Alexander S. Ovchinnikov, Valentine E. Sinitsyn, “Application of Symmetry Methods to Low-Dimensional Heisenberg Magnets”, Symmetry, 2:2 (2010), 722  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:98
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