Current-induced forces in single-resonance systems

Deghi, Sebastián E.; Fernández-Alcázar, Lucas J.; Pastawski, Horacio M.; Bustos-Marún, Raúl A.

doi:10.1088/1361-648x/abe266

Cited by 5 publications

(2 citation statements)

References 59 publications

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“…Adiabatic quantum pumping arises from the first-order correction (in a frequency expansion) to the adiabatic approximation of an observable, the current in our case. Technical details of its derivation can be found among different contexts [27,35,39,55,56]. In the present case, the adiabatic approximation and its first-order correction will be valid when the time it takes for the electrons to move along the lattice sites is much shorter than the time it takes for the Hamiltonian to change.…”

Section: Appendix C: Validity Of the Adiabatic Approximationmentioning

confidence: 98%

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Fluctuation-induced currents in suspended graphene nanoribbons: Adiabatic quantum pumping approach

Ribetto,

Elaskar,

Calvo

et al. 2023

Phys. Rev. B

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Section: Appendix C: Validity Of the Adiabatic Approximationmentioning

confidence: 98%

“…This effect can be explained by noticing that zGNRs possess edge states at this energy with zero group velocity [30], causing the divergence of the associated density of states. The relation between the density of states and the pumped currents have been established in many different contexts [13,39].…”

Section: B Fermi Energy Dependencementioning

confidence: 99%

Fluctuation-induced currents in suspended graphene nanoribbons: Adiabatic quantum pumping approach

Ribetto,

Elaskar,

Calvo

et al. 2023

Phys. Rev. B

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A dynamical model for Brownian molecular motors driven by inelastic electron tunneling

Ribetto

Deghi

Calvo

et al. 2022

The Journal of Chemical Physics

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In recent years, several artificial molecular motors driven and controlled by electric currents have been proposed. Similar to Brownian machines, these systems work by turning random inelastic tunneling events into a directional rotation of the molecule. Despite their importance as the ultimate component of future molecular machines, their modeling has not been sufficiently studied. Here, we develop a dynamical model to describe these systems. We illustrate the validity and usefulness of our model by applying it to a well-known molecular motor, showing that the obtained results are consistent with the available experimental data. Moreover, we demonstrate how to use our model to extract some difficult-to-access microscopic parameters. Finally, we include an analysis of the expected effects of current-induced forces (CIFs). Our analysis suggests that, although nonconservative contributions of the CIFs can be important in some scenarios, they do not seem important in the analyzed case. Despite this, the conservative contributions of CIFs could be strong enough to significantly alter the system’s dynamics.

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

Lozano-Negro¹,

Ferreyra-Ortega²,

Bendersky³

et al. 2022

J. Phys.: Condens. Matter

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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. Through appropriate election of the molecular orbital basis, it is shown that the metallic substrate plays the role of an environment that produces an energy uncertainty that induces the critical behavior not possible in a quantum closed system. This, together with perturbation theory allows us to give analytical estimates for the critical parameters. Within suitable approximations we find that dissociation occurs when the bonding to the surface is twice the bonding of the molecule. However simple, this conclusion involves high order perturbative solution of the model and the substrate. The model is further simplified to discuss how this critical phenomenon can be evaluated through an idealized perturbative tunneling microscopy setting. In this case, the energy uncertainties in one or both atoms are either Lorentzian or Gaussian, where the former could be identified with a voltage probe described in the Fermi Golden Rule approximation. In order to generate a Gaussian energy uncertainty we introduce and solve a particular model that can be assimilated to a spin bath. The partially coherent tunneling current is obtained with the Keldysh formalism in its linearized version: the Generalized Landauer-B\"uttiker Equations. The results clarify some of the subtleties involved in the thermodynamic limit and in the use of the simpler steady state energy representation instead of the more natural, but complex, time domain representation.

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Current-induced forces in single-resonance systems

Cited by 5 publications

References 59 publications

Fluctuation-induced currents in suspended graphene nanoribbons: Adiabatic quantum pumping approach

Fluctuation-induced currents in suspended graphene nanoribbons: Adiabatic quantum pumping approach

A dynamical model for Brownian molecular motors driven by inelastic electron tunneling

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

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