Antiferromagnetic fluctuations in the one-dimensional Hubbard model
We study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency renormalizing the bare interaction. It allows us to control a transitio...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2020-12-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/9.0000019 |
| _version_ | 1818410263317053440 |
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| author | Václav Janiš Antonín Klíč Jiawei Yan |
| author_facet | Václav Janiš Antonín Klíč Jiawei Yan |
| author_sort | Václav Janiš |
| collection | DOAJ |
| description | We study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency renormalizing the bare interaction. It allows us to control a transition from high to low temperatures as well as from weak to strong-coupling. We show that there is a crossover temperature T0 = t exp{−1/Uρ(0)} for arbitrary interaction U > 0 and the bare density of states at the Fermi energy ρ(0) > 0. The solution at lower temperatures goes over to strong coupling and approaches a quantum critical point with the diverging staggered susceptibility and a gap in the excitation spectrum at zero temperature. |
| first_indexed | 2024-12-14T10:12:44Z |
| format | Article |
| id | doaj.art-4df86205c7c24898ade1500bec32d3a2 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-14T10:12:44Z |
| publishDate | 2020-12-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-4df86205c7c24898ade1500bec32d3a22022-12-21T23:06:57ZengAIP Publishing LLCAIP Advances2158-32262020-12-011012125127125127-610.1063/9.0000019Antiferromagnetic fluctuations in the one-dimensional Hubbard modelVáclav Janiš0Antonín Klíč1Jiawei Yan2Institute of Physics, The Czech Academy of Sciences, Na Slovance 2, CZ-18221 Praha 8, Czech RepublicInstitute of Physics, The Czech Academy of Sciences, Na Slovance 2, CZ-18221 Praha 8, Czech RepublicInstitute of Physics, The Czech Academy of Sciences, Na Slovance 2, CZ-18221 Praha 8, Czech RepublicWe study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency renormalizing the bare interaction. It allows us to control a transition from high to low temperatures as well as from weak to strong-coupling. We show that there is a crossover temperature T0 = t exp{−1/Uρ(0)} for arbitrary interaction U > 0 and the bare density of states at the Fermi energy ρ(0) > 0. The solution at lower temperatures goes over to strong coupling and approaches a quantum critical point with the diverging staggered susceptibility and a gap in the excitation spectrum at zero temperature.http://dx.doi.org/10.1063/9.0000019 |
| spellingShingle | Václav Janiš Antonín Klíč Jiawei Yan Antiferromagnetic fluctuations in the one-dimensional Hubbard model AIP Advances |
| title | Antiferromagnetic fluctuations in the one-dimensional Hubbard model |
| title_full | Antiferromagnetic fluctuations in the one-dimensional Hubbard model |
| title_fullStr | Antiferromagnetic fluctuations in the one-dimensional Hubbard model |
| title_full_unstemmed | Antiferromagnetic fluctuations in the one-dimensional Hubbard model |
| title_short | Antiferromagnetic fluctuations in the one-dimensional Hubbard model |
| title_sort | antiferromagnetic fluctuations in the one dimensional hubbard model |
| url | http://dx.doi.org/10.1063/9.0000019 |
| work_keys_str_mv | AT vaclavjanis antiferromagneticfluctuationsintheonedimensionalhubbardmodel AT antoninklic antiferromagneticfluctuationsintheonedimensionalhubbardmodel AT jiaweiyan antiferromagneticfluctuationsintheonedimensionalhubbardmodel |