Fluctuating field series: towards calculations of correlated systems with high accuracy Article Swipe
Yana S. Lyakhova
,
S. D. Semenov
,
A. I. Lichtenstein
,
A. N. Rubtsov
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2406.12590
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2406.12590
We introduce regular series expansion for weakly- and moderately-correlated fermionic systems, based on Fluctuating Local Field approach. The method relies on the explicit account of leading fluctuating mode(s) and is therefore suitable for medium-sized lattices. It can be also used as a solver for the cluster approximations for infinite-size lattices. We introduce classical fluctuating field coupled to fermionic collective mode(s). This way, fluctuations in selected modes are treated in a non-perturbative way. Other degrees of freedom are accounted for the diagram expansion performed at each value of the fluctuating field. The method is benchmarked for the $U/t=1$ and $U/t=2$ Hubbard lattices at half-filling. Results for susceptibility in the antiferromagnetic channel along with the single particle density of states are compared with the numerically exact quantum Monte Carlo data. Calculations up to the third order of the series expansion are performed and show a uniform convergence to the reference result for the susceptibility. This convergence is observed well below the DMFT Neél temperature and makes our practically simple method applicable in a much wider temperature range than DMFT-based diagrammatic schemes.
Related Topics
Concepts
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2406.12590
- https://arxiv.org/pdf/2406.12590
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4399837573
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4399837573Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2406.12590Digital Object Identifier
- Title
-
Fluctuating field series: towards calculations of correlated systems with high accuracyWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-06-18Full publication date if available
- Authors
-
Yana S. Lyakhova, S. D. Semenov, A. I. Lichtenstein, A. N. RubtsovList of authors in order
- Landing page
-
https://arxiv.org/abs/2406.12590Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2406.12590Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2406.12590Direct OA link when available
- Concepts
-
Series (stratigraphy), Field (mathematics), Statistical physics, Econometrics, Mathematics, Geology, Physics, Paleontology, Pure mathematicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4399837573 |
|---|---|
| doi | https://doi.org/10.48550/arxiv.2406.12590 |
| ids.doi | https://doi.org/10.48550/arxiv.2406.12590 |
| ids.openalex | https://openalex.org/W4399837573 |
| fwci | |
| type | preprint |
| title | Fluctuating field series: towards calculations of correlated systems with high accuracy |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| topics[0].id | https://openalex.org/T10591 |
| topics[0].field.id | https://openalex.org/fields/31 |
| topics[0].field.display_name | Physics and Astronomy |
| topics[0].score | 0.9194999933242798 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/3104 |
| topics[0].subfield.display_name | Condensed Matter Physics |
| topics[0].display_name | Theoretical and Computational Physics |
| topics[1].id | https://openalex.org/T11520 |
| topics[1].field.id | https://openalex.org/fields/31 |
| topics[1].field.display_name | Physics and Astronomy |
| topics[1].score | 0.9039000272750854 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/3109 |
| topics[1].subfield.display_name | Statistical and Nonlinear Physics |
| topics[1].display_name | Advanced Thermodynamics and Statistical Mechanics |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C143724316 |
| concepts[0].level | 2 |
| concepts[0].score | 0.793134868144989 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q312468 |
| concepts[0].display_name | Series (stratigraphy) |
| concepts[1].id | https://openalex.org/C9652623 |
| concepts[1].level | 2 |
| concepts[1].score | 0.597294807434082 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q190109 |
| concepts[1].display_name | Field (mathematics) |
| concepts[2].id | https://openalex.org/C121864883 |
| concepts[2].level | 1 |
| concepts[2].score | 0.41621094942092896 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q677916 |
| concepts[2].display_name | Statistical physics |
| concepts[3].id | https://openalex.org/C149782125 |
| concepts[3].level | 1 |
| concepts[3].score | 0.3522224426269531 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q160039 |
| concepts[3].display_name | Econometrics |
| concepts[4].id | https://openalex.org/C33923547 |
| concepts[4].level | 0 |
| concepts[4].score | 0.28625088930130005 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[4].display_name | Mathematics |
| concepts[5].id | https://openalex.org/C127313418 |
| concepts[5].level | 0 |
| concepts[5].score | 0.27223384380340576 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q1069 |
| concepts[5].display_name | Geology |
| concepts[6].id | https://openalex.org/C121332964 |
| concepts[6].level | 0 |
| concepts[6].score | 0.20337191224098206 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[6].display_name | Physics |
| concepts[7].id | https://openalex.org/C151730666 |
| concepts[7].level | 1 |
| concepts[7].score | 0.08950567245483398 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q7205 |
| concepts[7].display_name | Paleontology |
| concepts[8].id | https://openalex.org/C202444582 |
| concepts[8].level | 1 |
| concepts[8].score | 0.0 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q837863 |
| concepts[8].display_name | Pure mathematics |
| keywords[0].id | https://openalex.org/keywords/series |
| keywords[0].score | 0.793134868144989 |
| keywords[0].display_name | Series (stratigraphy) |
| keywords[1].id | https://openalex.org/keywords/field |
| keywords[1].score | 0.597294807434082 |
| keywords[1].display_name | Field (mathematics) |
| keywords[2].id | https://openalex.org/keywords/statistical-physics |
| keywords[2].score | 0.41621094942092896 |
| keywords[2].display_name | Statistical physics |
| keywords[3].id | https://openalex.org/keywords/econometrics |
| keywords[3].score | 0.3522224426269531 |
| keywords[3].display_name | Econometrics |
| keywords[4].id | https://openalex.org/keywords/mathematics |
| keywords[4].score | 0.28625088930130005 |
| keywords[4].display_name | Mathematics |
| keywords[5].id | https://openalex.org/keywords/geology |
| keywords[5].score | 0.27223384380340576 |
| keywords[5].display_name | Geology |
| keywords[6].id | https://openalex.org/keywords/physics |
| keywords[6].score | 0.20337191224098206 |
| keywords[6].display_name | Physics |
| keywords[7].id | https://openalex.org/keywords/paleontology |
| keywords[7].score | 0.08950567245483398 |
| keywords[7].display_name | Paleontology |
| language | en |
| locations[0].id | pmh:oai:arXiv.org:2406.12590 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400194 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | arXiv (Cornell University) |
| locations[0].source.host_organization | https://openalex.org/I205783295 |
| locations[0].source.host_organization_name | Cornell University |
| locations[0].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[0].license | cc-by |
| locations[0].pdf_url | https://arxiv.org/pdf/2406.12590 |
| locations[0].version | submittedVersion |
| locations[0].raw_type | text |
| locations[0].license_id | https://openalex.org/licenses/cc-by |
| locations[0].is_accepted | False |
| locations[0].is_published | False |
| locations[0].raw_source_name | |
| locations[0].landing_page_url | http://arxiv.org/abs/2406.12590 |
| locations[1].id | doi:10.48550/arxiv.2406.12590 |
| locations[1].is_oa | True |
| locations[1].source.id | https://openalex.org/S4306400194 |
| locations[1].source.issn | |
| locations[1].source.type | repository |
| locations[1].source.is_oa | True |
| locations[1].source.issn_l | |
| locations[1].source.is_core | False |
| locations[1].source.is_in_doaj | False |
| locations[1].source.display_name | arXiv (Cornell University) |
| locations[1].source.host_organization | https://openalex.org/I205783295 |
| locations[1].source.host_organization_name | Cornell University |
| locations[1].source.host_organization_lineage | https://openalex.org/I205783295 |
| locations[1].license | cc-by |
| locations[1].pdf_url | |
| locations[1].version | |
| locations[1].raw_type | article |
| locations[1].license_id | https://openalex.org/licenses/cc-by |
| locations[1].is_accepted | False |
| locations[1].is_published | |
| locations[1].raw_source_name | |
| locations[1].landing_page_url | https://doi.org/10.48550/arxiv.2406.12590 |
| indexed_in | arxiv, datacite |
| authorships[0].author.id | https://openalex.org/A5032077943 |
| authorships[0].author.orcid | https://orcid.org/0000-0002-6390-2402 |
| authorships[0].author.display_name | Yana S. Lyakhova |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Lyakhova, Ya. S. |
| authorships[0].is_corresponding | False |
| authorships[1].author.id | https://openalex.org/A5102691711 |
| authorships[1].author.orcid | |
| authorships[1].author.display_name | S. D. Semenov |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Semenov, S. D. |
| authorships[1].is_corresponding | False |
| authorships[2].author.id | https://openalex.org/A5072510071 |
| authorships[2].author.orcid | https://orcid.org/0000-0003-0152-7122 |
| authorships[2].author.display_name | A. I. Lichtenstein |
| authorships[2].author_position | middle |
| authorships[2].raw_author_name | Lichtenstein, A. I. |
| authorships[2].is_corresponding | False |
| authorships[3].author.id | https://openalex.org/A5086592891 |
| authorships[3].author.orcid | https://orcid.org/0000-0001-5090-3599 |
| authorships[3].author.display_name | A. N. Rubtsov |
| authorships[3].author_position | last |
| authorships[3].raw_author_name | Rubtsov, A. N. |
| authorships[3].is_corresponding | False |
| has_content.pdf | True |
| has_content.grobid_xml | True |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://arxiv.org/pdf/2406.12590 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2024-06-20T00:00:00 |
| display_name | Fluctuating field series: towards calculations of correlated systems with high accuracy |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T06:51:31.235846 |
| primary_topic.id | https://openalex.org/T10591 |
| primary_topic.field.id | https://openalex.org/fields/31 |
| primary_topic.field.display_name | Physics and Astronomy |
| primary_topic.score | 0.9194999933242798 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/3104 |
| primary_topic.subfield.display_name | Condensed Matter Physics |
| primary_topic.display_name | Theoretical and Computational Physics |
| related_works | https://openalex.org/W1919101720, https://openalex.org/W4390822878, https://openalex.org/W96888382, https://openalex.org/W2041308758, https://openalex.org/W4386126592, https://openalex.org/W4392529072, https://openalex.org/W4394131749, https://openalex.org/W4394084199, https://openalex.org/W1976730198, https://openalex.org/W2787593906 |
| cited_by_count | 0 |
| locations_count | 2 |
| best_oa_location.id | pmh:oai:arXiv.org:2406.12590 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400194 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | arXiv (Cornell University) |
| best_oa_location.source.host_organization | https://openalex.org/I205783295 |
| best_oa_location.source.host_organization_name | Cornell University |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| best_oa_location.license | cc-by |
| best_oa_location.pdf_url | https://arxiv.org/pdf/2406.12590 |
| best_oa_location.version | submittedVersion |
| best_oa_location.raw_type | text |
| best_oa_location.license_id | https://openalex.org/licenses/cc-by |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | http://arxiv.org/abs/2406.12590 |
| primary_location.id | pmh:oai:arXiv.org:2406.12590 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400194 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | arXiv (Cornell University) |
| primary_location.source.host_organization | https://openalex.org/I205783295 |
| primary_location.source.host_organization_name | Cornell University |
| primary_location.source.host_organization_lineage | https://openalex.org/I205783295 |
| primary_location.license | cc-by |
| primary_location.pdf_url | https://arxiv.org/pdf/2406.12590 |
| primary_location.version | submittedVersion |
| primary_location.raw_type | text |
| primary_location.license_id | https://openalex.org/licenses/cc-by |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | http://arxiv.org/abs/2406.12590 |
| publication_date | 2024-06-18 |
| publication_year | 2024 |
| referenced_works_count | 0 |
| abstract_inverted_index.a | 41, 69, 142, 170 |
| abstract_inverted_index.It | 35 |
| abstract_inverted_index.We | 0, 50 |
| abstract_inverted_index.as | 40 |
| abstract_inverted_index.at | 83, 101 |
| abstract_inverted_index.be | 37 |
| abstract_inverted_index.in | 63, 68, 106, 169 |
| abstract_inverted_index.is | 29, 92, 154 |
| abstract_inverted_index.of | 24, 74, 86, 116, 134 |
| abstract_inverted_index.on | 12, 20 |
| abstract_inverted_index.to | 56, 130, 145 |
| abstract_inverted_index.up | 129 |
| abstract_inverted_index.The | 17, 90 |
| abstract_inverted_index.and | 7, 28, 97, 140, 162 |
| abstract_inverted_index.are | 66, 76, 118, 138 |
| abstract_inverted_index.can | 36 |
| abstract_inverted_index.for | 5, 32, 43, 47, 78, 94, 104, 149 |
| abstract_inverted_index.our | 164 |
| abstract_inverted_index.the | 21, 44, 79, 87, 95, 107, 112, 121, 131, 135, 146, 150, 158 |
| abstract_inverted_index.DMFT | 159 |
| abstract_inverted_index.This | 60, 152 |
| abstract_inverted_index.also | 38 |
| abstract_inverted_index.each | 84 |
| abstract_inverted_index.much | 171 |
| abstract_inverted_index.show | 141 |
| abstract_inverted_index.than | 175 |
| abstract_inverted_index.used | 39 |
| abstract_inverted_index.way, | 61 |
| abstract_inverted_index.way. | 71 |
| abstract_inverted_index.well | 156 |
| abstract_inverted_index.with | 111, 120 |
| abstract_inverted_index.Carlo | 126 |
| abstract_inverted_index.Field | 15 |
| abstract_inverted_index.Local | 14 |
| abstract_inverted_index.Monte | 125 |
| abstract_inverted_index.Neél | 160 |
| abstract_inverted_index.Other | 72 |
| abstract_inverted_index.along | 110 |
| abstract_inverted_index.based | 11 |
| abstract_inverted_index.below | 157 |
| abstract_inverted_index.data. | 127 |
| abstract_inverted_index.exact | 123 |
| abstract_inverted_index.field | 54 |
| abstract_inverted_index.makes | 163 |
| abstract_inverted_index.modes | 65 |
| abstract_inverted_index.order | 133 |
| abstract_inverted_index.range | 174 |
| abstract_inverted_index.third | 132 |
| abstract_inverted_index.value | 85 |
| abstract_inverted_index.wider | 172 |
| abstract_inverted_index.field. | 89 |
| abstract_inverted_index.method | 18, 91, 167 |
| abstract_inverted_index.relies | 19 |
| abstract_inverted_index.result | 148 |
| abstract_inverted_index.series | 3, 136 |
| abstract_inverted_index.simple | 166 |
| abstract_inverted_index.single | 113 |
| abstract_inverted_index.solver | 42 |
| abstract_inverted_index.states | 117 |
| abstract_inverted_index.$U/t=1$ | 96 |
| abstract_inverted_index.$U/t=2$ | 98 |
| abstract_inverted_index.Hubbard | 99 |
| abstract_inverted_index.Results | 103 |
| abstract_inverted_index.account | 23 |
| abstract_inverted_index.channel | 109 |
| abstract_inverted_index.cluster | 45 |
| abstract_inverted_index.coupled | 55 |
| abstract_inverted_index.degrees | 73 |
| abstract_inverted_index.density | 115 |
| abstract_inverted_index.diagram | 80 |
| abstract_inverted_index.freedom | 75 |
| abstract_inverted_index.leading | 25 |
| abstract_inverted_index.mode(s) | 27 |
| abstract_inverted_index.quantum | 124 |
| abstract_inverted_index.regular | 2 |
| abstract_inverted_index.treated | 67 |
| abstract_inverted_index.uniform | 143 |
| abstract_inverted_index.weakly- | 6 |
| abstract_inverted_index.compared | 119 |
| abstract_inverted_index.explicit | 22 |
| abstract_inverted_index.lattices | 100 |
| abstract_inverted_index.mode(s). | 59 |
| abstract_inverted_index.observed | 155 |
| abstract_inverted_index.particle | 114 |
| abstract_inverted_index.schemes. | 178 |
| abstract_inverted_index.selected | 64 |
| abstract_inverted_index.suitable | 31 |
| abstract_inverted_index.systems, | 10 |
| abstract_inverted_index.accounted | 77 |
| abstract_inverted_index.approach. | 16 |
| abstract_inverted_index.classical | 52 |
| abstract_inverted_index.expansion | 4, 81, 137 |
| abstract_inverted_index.fermionic | 9, 57 |
| abstract_inverted_index.introduce | 1, 51 |
| abstract_inverted_index.lattices. | 34, 49 |
| abstract_inverted_index.performed | 82, 139 |
| abstract_inverted_index.reference | 147 |
| abstract_inverted_index.therefore | 30 |
| abstract_inverted_index.DMFT-based | 176 |
| abstract_inverted_index.applicable | 168 |
| abstract_inverted_index.collective | 58 |
| abstract_inverted_index.Fluctuating | 13 |
| abstract_inverted_index.benchmarked | 93 |
| abstract_inverted_index.convergence | 144, 153 |
| abstract_inverted_index.fluctuating | 26, 53, 88 |
| abstract_inverted_index.numerically | 122 |
| abstract_inverted_index.practically | 165 |
| abstract_inverted_index.temperature | 161, 173 |
| abstract_inverted_index.Calculations | 128 |
| abstract_inverted_index.diagrammatic | 177 |
| abstract_inverted_index.fluctuations | 62 |
| abstract_inverted_index.medium-sized | 33 |
| abstract_inverted_index.half-filling. | 102 |
| abstract_inverted_index.infinite-size | 48 |
| abstract_inverted_index.approximations | 46 |
| abstract_inverted_index.susceptibility | 105 |
| abstract_inverted_index.susceptibility. | 151 |
| abstract_inverted_index.non-perturbative | 70 |
| abstract_inverted_index.antiferromagnetic | 108 |
| abstract_inverted_index.moderately-correlated | 8 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile |