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dc.contributor.author
Requist, Ryan
dc.contributor.author
Proetto, Cesar Ramon
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dc.contributor.author
Gross, E. K. U.
dc.date.available
2019-01-25T17:42:19Z
dc.date.issued
2017-12-12
dc.identifier.citation
Requist, Ryan; Proetto, Cesar Ramon; Gross, E. K. U.; Asymptotic analysis of the Berry curvature in the E ⊗ e Jahn-Teller model; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 96; 6; 12-12-2017; 062503-1/11
dc.identifier.issn
2469-9926
dc.identifier.uri
http://hdl.handle.net/11336/68629
dc.description.abstract
The effective Hamiltonian for the linear E⊗e Jahn-Teller model describes the coupling between two electronic states and two vibrational modes in molecules or bulk crystal impurities. While in the Born-Oppenheimer approximation the Berry curvature has a delta function singularity at the conical intersection of the potential energy surfaces, the exact Berry curvature is a smooth peaked function. Numerical calculations revealed that the characteristic width of the peak is ℏK1/2/gM1/2, where M is the mass associated with the relevant nuclear coordinates, K is the effective internuclear spring constant, and g is the electronic-vibrational coupling. This result is confirmed here by an asymptotic analysis of the M→∞ limit, an interesting outcome of which is the emergence of a separation of length scales. Being based on the exact electron-nuclear factorization, our analysis does not make any reference to adiabatic potential energy surfaces or nonadiabatic couplings. It is also shown that the Ham reduction factors for the model can be derived from the exact geometric phase.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Berry Phase
dc.subject
The Effective Hamiltonian
dc.subject
Berry Curvature
dc.subject.classification
Astronomía
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Asymptotic analysis of the Berry curvature in the E ⊗ e Jahn-Teller model
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-01-14T14:19:54Z
dc.identifier.eissn
2469-9934
dc.journal.volume
96
dc.journal.number
6
dc.journal.pagination
062503-1/11
dc.journal.pais
Estados Unidos
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dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Requist, Ryan. Max-Planck-Institut für Mikrostrukturphysik; Alemania
dc.description.fil
Fil: Proetto, Cesar Ramon. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
dc.description.fil
Fil: Gross, E. K. U.. The Hebrew University of Jerusalem; Israel. Max-Planck-Institut für Mikrostrukturphysik; Alemania
dc.journal.title
Physical Review A: Atomic, Molecular and Optical Physics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevA.96.062503
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevA.96.062503
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.062503
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