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Artículo

Simulating a catalyst induced quantum dynamical phase transition of a Heyrovsky reaction with different models for the environment

Lozano Negro, Fabricio SimonIcon ; Ferreyra Ortega, Marcos A.; Bendersky, DeniseIcon ; Fernández, Lucas JonatanIcon ; Pastawski, Horacio MiguelIcon
Fecha de publicación: 03/2022
Editorial: IOP Publishing
Revista: Journal of Physics: Condensed Matter
ISSN: 0953-8984
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Física Atómica, Molecular y Química; Físico-Química, Ciencia de los Polímeros, Electroquímica

Resumen

Through an appropriate election of the molecular orbital basis, we show analytically that the molecular dissociation occurring in a Heyrovsky reaction can be interpreted as a quantum dynamical phase transition, i.e., an analytical discontinuity in the molecular energy spectrum induced by the catalyst. The metallic substrate plays the role of an environment that produces an energy uncertainty on the adatom. This broadening induces a critical behavior not possible in a quantum closed system. We use suitable approximations on symmetry, together with both Lanczos and canonical transformations, to give analytical estimates for the critical parameters of molecular dissociation. This occurs when the bonding to the surface is 2 times the molecular bonding. This value is slightly weakened for less symmetric situations. However simple, this conclusion involves a high order perturbative solution of the molecule-catalyst system. This model is further simplified to discuss how an environment-induced critical phenomenon can be evaluated through an idealized perturbative tunneling microscopy set-up. In this case, the energy uncertainties in one or both atoms are either Lorentzian or Gaussian. The former results from the Fermi golden rule, i.e., a Markovian approximation. The Gaussian uncertainty, associated with non-Markovian decoherent processes, requires the introduction of a particular model of a spin bath. The partially coherent tunneling current is obtained from the generalized Landauer-Büttiker equations. The resonances observed in these transport parameters reflect, in many cases, the critical properties of the resonances in the molecular spectrum.
Palabras clave: D'AMATO-PASTAWSKI MODEL , HETEROGENEUS CATALYSIS , HEYROVSKY REACTION , NON-MARKOVIAN ENVIRONMENT , QUANTUM DYNAMICAL PHASE TRANSITION
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/163640
URL: https://iopscience.iop.org/article/10.1088/1361-648X/ac57d6/meta
DOI: http://dx.doi.org/10.1088/1361-648X/ac57d6
Colecciones
Articulos(IFEG)
Articulos de INST.DE FISICA ENRIQUE GAVIOLA
Articulos(IMIT)
Articulos de INST.DE MODELADO E INNOVACION TECNOLOGICA
Citación
Lozano Negro, Fabricio Simon; Ferreyra Ortega, Marcos A.; Bendersky, Denise; Fernández, Lucas Jonatan; Pastawski, Horacio Miguel; Simulating a catalyst induced quantum dynamical phase transition of a Heyrovsky reaction with different models for the environment; IOP Publishing; Journal of Physics: Condensed Matter; 34; 21; 3-2022; 1-20
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