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We present a way of partly reincorporate the effects of the localized bonding electrons on the dynamics of their itinerant counterparts in Hubbard-like Hamiltonians. This is done by relaxing the constraint that the former should be entirely…

Strongly Correlated Electrons · Physics 2020-09-23 T. V. Trevisan , Gustavo M. Monteiro , A. O. Caldeira

The stochastic driving force exerted by a single molecular motor (e.g., a kinesin, or myosin) moving on a periodic molecular track (microtubule, actin filament, etc.) is discussed from a general viewpoint open to experimental test. An…

Statistical Mechanics · Physics 2009-10-31 Michael E. Fisher , Anatoly B. Kolomeisky

Charge transport through molecular junctions is often described either as a purely coherent or a purely classical phenomenon, and described using the Landauer-B\"uttiker formalism or Marcus theory, respectively. Using a generalised quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-23 Jakub K. Sowa , Jan A. Mol , G. Andrew D. Briggs , Erik M. Gauger

Nanoelectromechanical systems are characterized by an intimate connection between electronic and mechanical degrees of freedom. Due to the nanoscopic scale, current flowing through the system noticeably impacts the vibrational dynamics of…

Mesoscale and Nanoscale Physics · Physics 2012-04-11 Niels Bode , Silvia Viola Kusminskiy , Reinhold Egger , Felix von Oppen

In this work we theoretically study properties of electric current driven by a temperature gradient through a quantum dot/molecule coupled to the source and drain charge reservoirs. We analyze the effect of Coulomb interactions between…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Natalya A. Zimbovskaya

We present a quaternion-inspired formalism specifically developed to evaluate the electric current that traverses a single molecule subjected to an externally applied voltage. The molecule of interest is covalently connected to two small…

Mesoscale and Nanoscale Physics · Physics 2014-08-06 Augusto C. L. Moreira , Celso P. de Melo

The accuracy of the noninteracting electron approximation is examined for a model of vibrationally coupled electron transport in single molecule junction. In the absence of electronic-vibrational coupling, steady state transport in this…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Haobin Wang , Michael Thoss

Experimental measurements of electron transport properties of molecular junctions are often performed in solvents. Solvent-molecule coupling and physical properties of the solvent can be used as the external stimulus to control electric…

Mesoscale and Nanoscale Physics · Physics 2021-01-29 Maxim F. Gelin , Daniel S. Kosov

Theoretical foundations of electron transport in mesoscopic systems, based on Landauer theory, Master equations or Onsager linear thermodynamics, are revisited to show that the noniteracting electrons model is insufficient to describe…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Robert Alicki

The conductance of single molecule junctions is calculated using a Landauer approach combined to many-body perturbation theory MBPT) to account for electron correlation. The mere correction of the density-functional theory eigenvalues,…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 T. Rangel , A. Ferretti , P. E. Trevisanutto , V. Olevano , G. -M. Rignanese

The mathematical formulation of the model for molecular movement of single motor proteins driven by cyclic biochemical reactions in an aqueous environment leads to a drifted Brownian motion characterized by coupled diffusion equations. In…

Statistical Mechanics · Physics 2007-05-23 Hong Qian

The energetics and efficiency of a linear molecular motor model proposed by Mogilner et al. (Phys. Lett. 237, 297 (1998)) is analyzed from an analytical point of view. The model which is based on protein friction with a track is described…

Statistical Mechanics · Physics 2014-10-07 Hans C. Fogedby , Axel Svane

When the coupled electron-nuclear dynamics are subjected to strong Floquet driving, there is a strong breakdown of the Born-Oppenheimer approximation. In this article, we derive a Fokker-Planck equation to describe non-adiabatic molecular…

Quantum Physics · Physics 2023-06-14 Vahid Mosallanejad , Jingqi Chen , Wenjie Dou

We use machine learning to enable large-scale molecular dynamics (MD) of a correlated electron model under the Gutzwiller approximation scheme. This model exhibits a Mott transition as a function of on-site Coulomb repulsion $U$. The…

Strongly Correlated Electrons · Physics 2019-04-17 Hidemaro Suwa , Justin S. Smith , Nicholas Lubbers , Cristian D. Batista , Gia-Wei Chern , Kipton Barros

We investigate by analytical means the stochastic equations of motion of a linear molecular motor model based on the concept of protein friction. Solving the coupled Langevin equations originally proposed by Mogilner et al. (A. Mogilner et…

Statistical Mechanics · Physics 2014-10-07 Hans C. Fogedby , Ralf Metzler , Axel Svane

Molecular wires (MW) are the fundamental building blocks for molecular electronic devices. They consist of a molecular unit connected to two continuum reservoirs of electrons (usually metallic leads). We rely on Landauer theory as the basis…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eldon Emberly , George Kirczenow

When combining lumped mesoscopic electronic components to form a circuit, quantum fluctuations of electrical quantities lead to a non-linear electromagnetic interaction between the components that is not generally understood. The…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 C. Altimiras , F. Portier , P. Joyez

Molecular dynamics (MD) simulation based on Langevin equation has been widely used in the study of structural, thermal properties of matters in difference phases. Normally, the atomic dynamics are described by classical equations of motion…

Mesoscale and Nanoscale Physics · Physics 2018-02-06 Jing-Tao Lü , Bing-Zhong Hu , Per Hedegård , Mads Brandbyge

Within the context of the Brownian ratchet model, a molecular rotary system was studied that can perform unidirectional rotations induced by linearly polarized ac fields, and produce positive work under loads. The model is based on the…

Statistical Mechanics · Physics 2017-06-07 Hiroki Tutu , Takehiko Horita , Katsuya Ouchi

We present a study of the charge transmission behavior of a series of dithiol polyenes in the context of molecular junctions. Using the Landauer theory and zero voltage approximation the Green's functions of the inserted molecules are…

Materials Science · Physics 2007-05-23 Alexander Schnurpfeil , Martin Albrecht