Pseudoparticle approach to 1D integrable quantum models
Autor(a) principal: | |
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Data de Publicação: | 2018 |
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/1822/73351 |
Resumo: | Over the last three decades a large number of experimental studies on several quasi one-dimensional (1D) metals and quasi 1D Mott–Hubbard insulators have produced evidence for distinct spectral features identified with charge-only and spin-only fractionalized particles. They can be also observed in ultra-cold atomic 1D optical lattices and quantum wires. 1D exactly solvable models provide nontrivial tests of the approaches for these systems relying on field theories. Different schemes such as the pseudofermion dynamical theory (PDT) and the mobile quantum impurity model (MQIM) have revealed that the 1D correlated models high-energy physics is qualitatively different from that of a low-energy Tomonaga–Luttinger liquid (TLL). This includes the momentum dependence of the exponents that control the one- and two-particle dynamical correlation functions near their spectra edges and in the vicinity of one-particle singular spectral features. On the one hand, the low-energy charge-only and spin-only fractionalized particles are usually identified with holons and spinons, respectively. On the other hand, “particle-like” representations in terms of pseudoparticles, related PDT pseudofermions, and MQIM particles are suitable for the description of both the low-energy TLL physics and high-energy spectral and dynamical properties of 1D correlated systems. The main goal of this review is to revisit the usefulness of pseudoparticle and PDT pseudofermion representations for the study of both static and high-energy spectral and dynamical properties of the 1D Lieb–Liniger Bose gas, spin-1∕2 isotropic Heisenberg chain, and 1D Hubbard model. Moreover, the relation between the PDT and the MQIM is clarified. The fractionalized particles and related composite pseudoparticles/pseudofermions emerging within such non-perturbative 1D correlated systems are qualitatively different from the Fermi-liquid quasiparticles. In contrast to the holons and spinons, the relation to the electron creation and annihilation operators of the operators ass |
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Pseudoparticle approach to 1D integrable quantum modelsCiências Naturais::Ciências FísicasScience & TechnologyOver the last three decades a large number of experimental studies on several quasi one-dimensional (1D) metals and quasi 1D Mott–Hubbard insulators have produced evidence for distinct spectral features identified with charge-only and spin-only fractionalized particles. They can be also observed in ultra-cold atomic 1D optical lattices and quantum wires. 1D exactly solvable models provide nontrivial tests of the approaches for these systems relying on field theories. Different schemes such as the pseudofermion dynamical theory (PDT) and the mobile quantum impurity model (MQIM) have revealed that the 1D correlated models high-energy physics is qualitatively different from that of a low-energy Tomonaga–Luttinger liquid (TLL). This includes the momentum dependence of the exponents that control the one- and two-particle dynamical correlation functions near their spectra edges and in the vicinity of one-particle singular spectral features. On the one hand, the low-energy charge-only and spin-only fractionalized particles are usually identified with holons and spinons, respectively. On the other hand, “particle-like” representations in terms of pseudoparticles, related PDT pseudofermions, and MQIM particles are suitable for the description of both the low-energy TLL physics and high-energy spectral and dynamical properties of 1D correlated systems. The main goal of this review is to revisit the usefulness of pseudoparticle and PDT pseudofermion representations for the study of both static and high-energy spectral and dynamical properties of the 1D Lieb–Liniger Bose gas, spin-1∕2 isotropic Heisenberg chain, and 1D Hubbard model. Moreover, the relation between the PDT and the MQIM is clarified. The fractionalized particles and related composite pseudoparticles/pseudofermions emerging within such non-perturbative 1D correlated systems are qualitatively different from the Fermi-liquid quasiparticles. In contrast to the holons and spinons, the relation to the electron creation and annihilation operators of the operators assWe thank M. A. N. Araujo, D. Baeriswyl, P.-A. Bares, D. Bozi, D. K. Campbell, A. H. Castro Neto, T. Cadez, R. G. Dias, J. M. E. Guerra, F. Guinea, P. Horsch, H. Q. Lin, A. Luther, L. M. Martelo, A. Moreno, S. Ostlund, K. Penc, R. G. Pereira, N. M. R. Peres, T. Prosen, J. M. Roman, M. J. Sampaio, and J. M. P. L. Santos for illuminating discussions and their contributions to common collaborations that led to some of the results on the issues being reviewed. We also thank N. Andrei, E. Castro, and H. Johannesson for illuminating discussions, and M. Belsley for the critical reading of a preliminary version of the review manuscript and useful discussions. We acknowledge our former collaborator, the late S.-J.Gu, for his important contributions to the success of our common research related to the topics reviewed here. Over the long course of his study of this problem, J. M. P. C. has benefited from discussions with P. W. Anderson, M. C. Asensio, M. Batzill, L. Carlos, Y.-H. Chen, R. Claessen, F. Essler, J. Ferrer, X.-W. Guan, E. Jeckelmann, S.-i. Kimura, V. E. Korepin, P. A. Lee, R. Micnas, S. Nemati, Y. Ohtsubo, T. Ribeiro, A. W. Sandvik, M. Sing, A. L. L. Videira, J. Voit, X.-G. Wen, S. R. White, and X. Zotos. He especially wishes to acknowledge his former collaborators, the late K. Maki, A. Muramatsu, and A. A. Ovchinnikov, for illuminating discussions on 1D correlated systems and their contributions to his understanding of the Hubbard model. He also acknowledges the late A. Imambekov for discussions that were helpful in writing this review. P. D. S. thanks K. -J. -B. Lee, J. W. Rasul, and P. Schlottmann for discussions on integrable systems. We thank the FEDER through the COMPETE Program and the Portuguese FCT in the framework of the Strategic Projects UID/FIS/04650/2013 and UID/CTM/04540/2013 and the support of the Beijing Computational Science Research Center where part of this review was written.Elsevier B.V.Universidade do MinhoCarmelo, José Manuel PereiraSacramento, P. D.20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/73351engCarmelo, J. M. P., & Sacramento, P. D. (2018). Pseudoparticle approach to 1D integrable quantum models. Physics Reports, 749, 1-90. doi: https://doi.org/10.1016/j.physrep.2018.06.0040370-157310.1016/j.physrep.2018.06.004https://www.sciencedirect.com/science/article/pii/S0370157318301443info: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:RCAAP2023-07-21T12:51:46Zoai:repositorium.sdum.uminho.pt:1822/73351Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:50:45.016576Repositório 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 |
Pseudoparticle approach to 1D integrable quantum models |
title |
Pseudoparticle approach to 1D integrable quantum models |
spellingShingle |
Pseudoparticle approach to 1D integrable quantum models Carmelo, José Manuel Pereira Ciências Naturais::Ciências Físicas Science & Technology |
title_short |
Pseudoparticle approach to 1D integrable quantum models |
title_full |
Pseudoparticle approach to 1D integrable quantum models |
title_fullStr |
Pseudoparticle approach to 1D integrable quantum models |
title_full_unstemmed |
Pseudoparticle approach to 1D integrable quantum models |
title_sort |
Pseudoparticle approach to 1D integrable quantum models |
author |
Carmelo, José Manuel Pereira |
author_facet |
Carmelo, José Manuel Pereira Sacramento, P. D. |
author_role |
author |
author2 |
Sacramento, P. D. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Carmelo, José Manuel Pereira Sacramento, P. D. |
dc.subject.por.fl_str_mv |
Ciências Naturais::Ciências Físicas Science & Technology |
topic |
Ciências Naturais::Ciências Físicas Science & Technology |
description |
Over the last three decades a large number of experimental studies on several quasi one-dimensional (1D) metals and quasi 1D Mott–Hubbard insulators have produced evidence for distinct spectral features identified with charge-only and spin-only fractionalized particles. They can be also observed in ultra-cold atomic 1D optical lattices and quantum wires. 1D exactly solvable models provide nontrivial tests of the approaches for these systems relying on field theories. Different schemes such as the pseudofermion dynamical theory (PDT) and the mobile quantum impurity model (MQIM) have revealed that the 1D correlated models high-energy physics is qualitatively different from that of a low-energy Tomonaga–Luttinger liquid (TLL). This includes the momentum dependence of the exponents that control the one- and two-particle dynamical correlation functions near their spectra edges and in the vicinity of one-particle singular spectral features. On the one hand, the low-energy charge-only and spin-only fractionalized particles are usually identified with holons and spinons, respectively. On the other hand, “particle-like” representations in terms of pseudoparticles, related PDT pseudofermions, and MQIM particles are suitable for the description of both the low-energy TLL physics and high-energy spectral and dynamical properties of 1D correlated systems. The main goal of this review is to revisit the usefulness of pseudoparticle and PDT pseudofermion representations for the study of both static and high-energy spectral and dynamical properties of the 1D Lieb–Liniger Bose gas, spin-1∕2 isotropic Heisenberg chain, and 1D Hubbard model. Moreover, the relation between the PDT and the MQIM is clarified. The fractionalized particles and related composite pseudoparticles/pseudofermions emerging within such non-perturbative 1D correlated systems are qualitatively different from the Fermi-liquid quasiparticles. In contrast to the holons and spinons, the relation to the electron creation and annihilation operators of the operators ass |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018 2018-01-01T00:00:00Z |
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/1822/73351 |
url |
http://hdl.handle.net/1822/73351 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Carmelo, J. M. P., & Sacramento, P. D. (2018). Pseudoparticle approach to 1D integrable quantum models. Physics Reports, 749, 1-90. doi: https://doi.org/10.1016/j.physrep.2018.06.004 0370-1573 10.1016/j.physrep.2018.06.004 https://www.sciencedirect.com/science/article/pii/S0370157318301443 |
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info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier B.V. |
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Elsevier B.V. |
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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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