Universal Informatics · Research reading room

Universality and quantum criticality in quasiperiodic spin chains

Utkarsh Agrawal; Sarang Gopalakrishnan; Romain Vasseur · Nature Communications · 2020 · Renormalization-group theory and numerical modelling

Original publication · Original publication · Original publication

Recorded summary

Real-space renormalization maps broad classes of quasiperiodic spin-chain modulations to discrete self-similar sequences. The Heisenberg-chain fixed-point sequence follows Fibonacci deflation rules.

Recorded limitations

The conclusions depend on the studied one-dimensional models and renormalization assumptions. They do not constitute experimental evidence for an arbitrary material or biological system.

Evidence and provenance

Chapter Trust Factor uses a minimum of three distinct qualifying studies. Publication records retain their own evidence and assessment.

Study design and assessment
design
Renormalization-group theory and numerical modelling
assessment
is Randomized Controlled Trial
false
blinding
Not applicable to a clinical-trial grade
basis
Renormalization-group theory and numerical modelling. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41467-020-15760-5

category
peer-reviewed
peer Reviewed
true
trust Factor
score
1
scope
Paper
status
assessed
randomized Controlled Trial
false
blinding
not-confirmed
peer Reviewed
true
basis
Renormalization-group theory and numerical modelling. No human randomized controlled trial is reported.
sources

https://pubmed.ncbi.nlm.nih.gov/32376859/ · https://www.nature.com/articles/s41467-020-15760-5

review Scope
Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
assessed At
2026-10-27
jadad
status
not-applicable
score
Not recorded
reason
Not a human randomized controlled trial.
evidence
evidence Type
Renormalization-group theory and numerical modelling
evidence Class
mathematical_computational_model
measurement
Heisenberg, Ising and Potts chains; phenomenological localization model
measured Genes
None recorded
pathways
None recorded
relationship Note
Background literature only. This paper does not test or validate an OXTR–Fibonacci relationship.
clinical Evidence
false
review Depth
Abstract and selected source passages: Results; Discussion; Methods.
full Paper Appraisal
Not completed; review depth states the material assessed.
Topics and recorded topic scores
  1. key
    general:fibonacci-aperiodic-structures
    title
    Aperiodic structures and wave computation
    collection
    general
    trust Score
    1
Citation snapshot and identifiers
id
nature-fibonacci-s41467-020-15760-5
doi
10.1038/s41467-020-15760-5
pmid
32376859
citation Snapshot
count
50
source
Crossref cited-by count
retrieved At
2026-10-24
url
https://api.crossref.org/works/10.1038/s41467-020-15760-5
field
is-referenced-by-count
source Indexed At
2026-08-26T02:34:21Z
coverage Note
Count reflects Crossref-deposited references and can differ from publisher or other database totals. It is not a quality or clinical-evidence score.
citations By Collection
general
50
Complete approved library record
id
nature-fibonacci-s41467-020-15760-5
aliases
None recorded
title
Universality and quantum criticality in quasiperiodic spin chains
journal
Nature Communications
publisher Family
nature
publisher Family Label
Nature Portfolio
neurotransmitters
None recorded
year
2020
authors
Utkarsh Agrawal; Sarang Gopalakrishnan; Romain Vasseur
design
Renormalization-group theory and numerical modelling
kind
Journal article
identity Conflict
Not recorded
doi
10.1038/s41467-020-15760-5
pmid
32376859
urls

https://www.nature.com/articles/s41467-020-15760-5 · https://doi.org/10.1038/s41467-020-15760-5 · https://pubmed.ncbi.nlm.nih.gov/32376859/

collections

general

categories

Fibonacci mathematics · Aperiodic structures

targets
None recorded
priority
1
quotes
None recorded
summary
Real-space renormalization maps broad classes of quasiperiodic spin-chain modulations to discrete self-similar sequences. The Heisenberg-chain fixed-point sequence follows Fibonacci deflation rules.
limitation
The conclusions depend on the studied one-dimensional models and renormalization assumptions. They do not constitute experimental evidence for an arbitrary material or biological system.
citation Count
50
citation Snapshot
count
50
source
Crossref cited-by count
retrieved At
2026-10-24
url
https://api.crossref.org/works/10.1038/s41467-020-15760-5
field
is-referenced-by-count
source Indexed At
2026-08-26T02:34:21Z
coverage Note
Count reflects Crossref-deposited references and can differ from publisher or other database totals. It is not a quality or clinical-evidence score.
study Design Assessment
is Randomized Controlled Trial
false
blinding
Not applicable to a clinical-trial grade
basis
Renormalization-group theory and numerical modelling. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41467-020-15760-5

category
peer-reviewed
peer Reviewed
true
paper Trust Assessment
score
1
scope
Paper
status
assessed
randomized Controlled Trial
false
blinding
not-confirmed
peer Reviewed
true
basis
Renormalization-group theory and numerical modelling. No human randomized controlled trial is reported.
sources

https://pubmed.ncbi.nlm.nih.gov/32376859/ · https://www.nature.com/articles/s41467-020-15760-5

review Scope
Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
assessed At
2026-10-27
citations By Collection
general
50
topics
  1. key
    general:fibonacci-aperiodic-structures
    title
    Aperiodic structures and wave computation
    collection
    general
    trust Score
    1
journal Key
naturecommunications
journal Label
Nature Communications
chapter Entries
  1. id
    general-nature-fibonacci-s41467-020-15760-5
    title
    Universality and quantum criticality in quasiperiodic spin chains
    journal
    Nature Communications
    year
    2020
    authors
    Utkarsh Agrawal; Sarang Gopalakrishnan; Romain Vasseur
    doi
    10.1038/s41467-020-15760-5
    pmid
    32376859
    urls

    https://www.nature.com/articles/s41467-020-15760-5 · https://doi.org/10.1038/s41467-020-15760-5 · https://pubmed.ncbi.nlm.nih.gov/32376859/

    design
    Renormalization-group theory and numerical modelling
    summary
    Real-space renormalization maps broad classes of quasiperiodic spin-chain modulations to discrete self-similar sequences. The Heisenberg-chain fixed-point sequence follows Fibonacci deflation rules.
    limitation
    The conclusions depend on the studied one-dimensional models and renormalization assumptions. They do not constitute experimental evidence for an arbitrary material or biological system.
    citation Count
    50
    citation Snapshot
    count
    50
    source
    Crossref cited-by count
    retrieved At
    2026-10-24
    url
    https://api.crossref.org/works/10.1038/s41467-020-15760-5
    field
    is-referenced-by-count
    source Indexed At
    2026-08-26T02:34:21Z
    coverage Note
    Count reflects Crossref-deposited references and can differ from publisher or other database totals. It is not a quality or clinical-evidence score.
    categories

    Fibonacci mathematics · Aperiodic structures

    targets
    None recorded
    evidence
    evidence Type
    Renormalization-group theory and numerical modelling
    evidence Class
    mathematical_computational_model
    measurement
    Heisenberg, Ising and Potts chains; phenomenological localization model
    measured Genes
    None recorded
    pathways
    None recorded
    relationship Note
    Background literature only. This paper does not test or validate an OXTR–Fibonacci relationship.
    clinical Evidence
    false
    review Depth
    Abstract and selected source passages: Results; Discussion; Methods.
    full Paper Appraisal
    Not completed; review depth states the material assessed.
    record Id
    nature-fibonacci-s41467-020-15760-5
    quotes
    None recorded
    source Pages
    None recorded
    paper Trust Assessment
    score
    1
    scope
    Paper
    status
    assessed
    randomized Controlled Trial
    false
    blinding
    not-confirmed
    peer Reviewed
    true
    basis
    Renormalization-group theory and numerical modelling. No human randomized controlled trial is reported.
    sources

    https://pubmed.ncbi.nlm.nih.gov/32376859/ · https://www.nature.com/articles/s41467-020-15760-5

    review Scope
    Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
    assessed At
    2026-10-27
    study Design Assessment
    is Randomized Controlled Trial
    false
    blinding
    Not applicable to a clinical-trial grade
    basis
    Renormalization-group theory and numerical modelling. No human randomized controlled trial is reported.
    sources

    https://www.nature.com/articles/s41467-020-15760-5

    category
    peer-reviewed
    peer Reviewed
    true
    collection
    general
    chapter Number
    9
    topic Id
    fibonacci-aperiodic-structures
    topic Title
    Aperiodic structures and wave computation
    trust Score
    1
evidence
evidence Type
Renormalization-group theory and numerical modelling
evidence Class
mathematical_computational_model
measurement
Heisenberg, Ising and Potts chains; phenomenological localization model
measured Genes
None recorded
pathways
None recorded
relationship Note
Background literature only. This paper does not test or validate an OXTR–Fibonacci relationship.
clinical Evidence
false
review Depth
Abstract and selected source passages: Results; Discussion; Methods.
full Paper Appraisal
Not completed; review depth states the material assessed.
jadad
status
not-applicable
score
Not recorded
reason
Not a human randomized controlled trial.
condition Evidence
None recorded
conditions
None recorded
topic Trust Scores

1

full Text
status
open-license
retrieval Available
true
url
https://www.nature.com/articles/s41467-020-15760-5
rights
license
http://creativecommons.org/licenses/by/4.0/
authors
Utkarsh, Agrawal; Sarang, Gopalakrishnan; Romain, Vasseur
title
Universality and quantum criticality in quasiperiodic spin chains
doi
10.1038/s41467-020-15760-5
copyright
2020 The Author(s)
source
https://www.nature.com/articles/s41467-020-15760-5
transformation
Article sections extracted to plain text; navigation and recommendation sections removed. Equations, tables and image content may be incomplete; use the source for technical interpretation.
sha256
436579ce7adef68e7b0e08e80eb2990a6ebf880e78017b3f8b2e7f52969e48fb
checked At
2026-10-24

Open this publication in the interactive library