Microscopic Theory of the Two-Dimensional Quantum Antiferromagnet in a Paramagnetic Phase
Autor(a) principal: | |
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Data de Publicação: | 2002 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/4495 https://doi.org/10.1134/1.1343156 |
Resumo: | We have developed a consistent theory of the Heisenberg quantum antiferromagnet in the disordered phase with a short range antiferromagnetic order on the basis of the path integral for spin coherent states. In the framework of our approach we have obtained the response function for the spin fluctuations for all values of the frequency [omega] and the wave vector k and have calculated the free energy of the system. We have also reproduced the known results for the spin correlation length in the lowest order in 1/N. We have presented the Lagrangian of the theory in a form which is explicitly invariant under rotations and found natural variables in terms of which one can construct a natural perturbation theory. The short wave spin fluctuations are similar to those in the spin wave theory and they are on the order of the smallness parameter 1/2s where s is the spin magnitude. The long-wave spin fluctuations are governed by the nonlinear sigma model and are on the order of the smallness parameter 1/N, where N is the number of field components. We also have shown that the short wave spin fluctuations must be evaluated accurately and the continuum limit in time of the path integral must be performed after the summation over the frequencies [omega]. |
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Microscopic Theory of the Two-Dimensional Quantum Antiferromagnet in a Paramagnetic PhaseWe have developed a consistent theory of the Heisenberg quantum antiferromagnet in the disordered phase with a short range antiferromagnetic order on the basis of the path integral for spin coherent states. In the framework of our approach we have obtained the response function for the spin fluctuations for all values of the frequency [omega] and the wave vector k and have calculated the free energy of the system. We have also reproduced the known results for the spin correlation length in the lowest order in 1/N. We have presented the Lagrangian of the theory in a form which is explicitly invariant under rotations and found natural variables in terms of which one can construct a natural perturbation theory. The short wave spin fluctuations are similar to those in the spin wave theory and they are on the order of the smallness parameter 1/2s where s is the spin magnitude. The long-wave spin fluctuations are governed by the nonlinear sigma model and are on the order of the smallness parameter 1/N, where N is the number of field components. We also have shown that the short wave spin fluctuations must be evaluated accurately and the continuum limit in time of the path integral must be performed after the summation over the frequencies [omega].http://www.sciencedirect.com/science/article/B6WB1-461T399-7/1/37d76a50a95eef6f16ed447d1b2f18222002info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4495http://hdl.handle.net/10316/4495https://doi.org/10.1134/1.1343156engAnnals of Physics. 298:1 (2002) 186-209Belinicher, V. I.Providência, J. dainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-11-06T17:00:10Zoai:estudogeral.uc.pt:10316/4495Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:59:54.969751Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Microscopic Theory of the Two-Dimensional Quantum Antiferromagnet in a Paramagnetic Phase |
title |
Microscopic Theory of the Two-Dimensional Quantum Antiferromagnet in a Paramagnetic Phase |
spellingShingle |
Microscopic Theory of the Two-Dimensional Quantum Antiferromagnet in a Paramagnetic Phase Belinicher, V. I. |
title_short |
Microscopic Theory of the Two-Dimensional Quantum Antiferromagnet in a Paramagnetic Phase |
title_full |
Microscopic Theory of the Two-Dimensional Quantum Antiferromagnet in a Paramagnetic Phase |
title_fullStr |
Microscopic Theory of the Two-Dimensional Quantum Antiferromagnet in a Paramagnetic Phase |
title_full_unstemmed |
Microscopic Theory of the Two-Dimensional Quantum Antiferromagnet in a Paramagnetic Phase |
title_sort |
Microscopic Theory of the Two-Dimensional Quantum Antiferromagnet in a Paramagnetic Phase |
author |
Belinicher, V. I. |
author_facet |
Belinicher, V. I. Providência, J. da |
author_role |
author |
author2 |
Providência, J. da |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Belinicher, V. I. Providência, J. da |
description |
We have developed a consistent theory of the Heisenberg quantum antiferromagnet in the disordered phase with a short range antiferromagnetic order on the basis of the path integral for spin coherent states. In the framework of our approach we have obtained the response function for the spin fluctuations for all values of the frequency [omega] and the wave vector k and have calculated the free energy of the system. We have also reproduced the known results for the spin correlation length in the lowest order in 1/N. We have presented the Lagrangian of the theory in a form which is explicitly invariant under rotations and found natural variables in terms of which one can construct a natural perturbation theory. The short wave spin fluctuations are similar to those in the spin wave theory and they are on the order of the smallness parameter 1/2s where s is the spin magnitude. The long-wave spin fluctuations are governed by the nonlinear sigma model and are on the order of the smallness parameter 1/N, where N is the number of field components. We also have shown that the short wave spin fluctuations must be evaluated accurately and the continuum limit in time of the path integral must be performed after the summation over the frequencies [omega]. |
publishDate |
2002 |
dc.date.none.fl_str_mv |
2002 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10316/4495 http://hdl.handle.net/10316/4495 https://doi.org/10.1134/1.1343156 |
url |
http://hdl.handle.net/10316/4495 https://doi.org/10.1134/1.1343156 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Annals of Physics. 298:1 (2002) 186-209 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
aplication/PDF |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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