Single- and two-particle finite size effects in interacting lattice systems Article Swipe
Sergei Iskakov
,
Hanna Terletska
,
Emanuel Gull
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.106.235106
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.106.235106
Simulations of extended quantum systems are typically performed by extrapolating results of a sequence of finite-system-size simulations to the thermodynamic limit. In the quantum Monte Carlo community, twist-averaging was pioneered as an efficient strategy to eliminate one-body finite size effects. In the dynamical mean field community, cluster generalizations of the dynamical mean field theory were formulated to study systems with nonlocal correlations. In this work, we put the twist-averaging and the dynamical cluster approximation variant of the dynamical mean field theory onto equal footing, discuss commonalities and differences, and compare results from both techniques to the standard periodic boundary technique. At the example of Hubbard-type models with local, short-range and Yukawa-like longer range interactions we show that all methods converge to the same limit, but that the convergence speed differs in practice. We show that embedding theories are an effective tool for managing both one-body and two-body finite size effects, in particular if interactions are averaged over twist angles.
Related Topics
Concepts
Periodic boundary conditions
Statistical physics
Thermodynamic limit
Lattice (music)
Physics
Quantum Monte Carlo
Monte Carlo method
Hubbard model
Embedding
Quantum
Cluster (spacecraft)
Limit (mathematics)
Mean field theory
Dynamical systems theory
Twist
Boundary value problem
Mathematics
Quantum mechanics
Mathematical analysis
Geometry
Computer science
Artificial intelligence
Acoustics
Programming language
Statistics
Superconductivity
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physrevb.106.235106
- OA Status
- green
- References
- 86
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4311538427
All OpenAlex metadata
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https://openalex.org/W4311538427Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/physrevb.106.235106Digital Object Identifier
- Title
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Single- and two-particle finite size effects in interacting lattice systemsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-12-05Full publication date if available
- Authors
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Sergei Iskakov, Hanna Terletska, Emanuel GullList of authors in order
- Landing page
-
https://doi.org/10.1103/physrevb.106.235106Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
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https://www.osti.gov/biblio/2423087Direct OA link when available
- Concepts
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Periodic boundary conditions, Statistical physics, Thermodynamic limit, Lattice (music), Physics, Quantum Monte Carlo, Monte Carlo method, Hubbard model, Embedding, Quantum, Cluster (spacecraft), Limit (mathematics), Mean field theory, Dynamical systems theory, Twist, Boundary value problem, Mathematics, Quantum mechanics, Mathematical analysis, Geometry, Computer science, Artificial intelligence, Acoustics, Programming language, Statistics, SuperconductivityTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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