Ground-state properties of the symmetric single-impurity Anderson model on a ring from density-matrix renormalization group, Hartree-Fock, and Gutzwiller theory Article Swipe
Gergely Barcza
,
Florian Gebhard
,
Thorben Linneweber
,
Örs Legeza
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.99.165130
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1103/physrevb.99.165130
We analyze the ground-state energy, magnetization, magnetic susceptibility,\nand Kondo screening cloud of the symmetric single-impurity Anderson model\n(SIAM) that is characterized by the band width $W$, the impurity interaction\nstrength $U$, and the local hybridization $V$. We compare Gutzwiller\nvariational and magnetic Hartree-Fock results in the thermodynamic limit with\nnumerically exact data from the Density-Matrix Renormalization Group (DMRG)\nmethod on large rings. To improve the DMRG performance, we use a canonical\ntransformation to map the SIAM onto a chain with half the system size and open\nboundary conditions. We compare to Bethe-Ansatz results for the ground-state\nenergy, magnetization, and spin susceptibility that become exact in the\nwide-band limit. Our detailed comparison shows that the field-theoretical\ndescription is applicable to the SIAM on a ring for a broad parameter range.\nHartree-Fock theory gives an excellent ground-state energy and local moment for\nintermediate and strong interactions. However, it lacks spin fluctuations and\nthus cannot screen the impurity spin. The Gutzwiller variational energy bound\nbecomes very poor for large interactions because it does not describe properly\nthe charge fluctuations. Nevertheless, the Gutzwiller approach provides a\nqualitatively correct description of the zero-field susceptibility and the\nKondo screening cloud. The DMRG provides excellent data for the ground-state\nenergy and the magnetization for finite external fields. At strong\ninteractions, finite-size effects make it extremely difficult to recover the\nexponentially large zero-field susceptibility and the mesoscopically large\nKondo screening cloud.\n
Related Topics
Concepts
Density matrix renormalization group
Anderson impurity model
Physics
Ground state
Kondo model
Spin (aerodynamics)
Kondo effect
Magnetization
Quantum mechanics
Condensed matter physics
Bethe ansatz
Hartree–Fock method
Magnetic impurity
Renormalization group
Quantum electrodynamics
Magnetic field
Impurity
Quantum
Thermodynamics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physrevb.99.165130
- http://link.aps.org/pdf/10.1103/PhysRevB.99.165130
- OA Status
- bronze
- Cited By
- 8
- References
- 50
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2806242381
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2806242381Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1103/physrevb.99.165130Digital Object Identifier
- Title
-
Ground-state properties of the symmetric single-impurity Anderson model on a ring from density-matrix renormalization group, Hartree-Fock, and Gutzwiller theoryWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2019Year of publication
- Publication date
-
2019-04-19Full publication date if available
- Authors
-
Gergely Barcza, Florian Gebhard, Thorben Linneweber, Örs LegezaList of authors in order
- Landing page
-
https://doi.org/10.1103/physrevb.99.165130Publisher landing page
- PDF URL
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https://link.aps.org/pdf/10.1103/PhysRevB.99.165130Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
bronzeOpen access status per OpenAlex
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https://link.aps.org/pdf/10.1103/PhysRevB.99.165130Direct OA link when available
- Concepts
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Density matrix renormalization group, Anderson impurity model, Physics, Ground state, Kondo model, Spin (aerodynamics), Kondo effect, Magnetization, Quantum mechanics, Condensed matter physics, Bethe ansatz, Hartree–Fock method, Magnetic impurity, Renormalization group, Quantum electrodynamics, Magnetic field, Impurity, Quantum, ThermodynamicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
8Total citation count in OpenAlex
- Citations by year (recent)
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2024: 3, 2023: 1, 2021: 2, 2020: 2Per-year citation counts (last 5 years)
- References (count)
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50Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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