Electron transfer statistics and thermal fluctuations in molecular junctions

The Journal of Chemical Physics
Himangshu Prabal Goswami, Upendra Harbola

Abstract

We derive analytical expressions for probability distribution function (PDF) for electron transport in a simple model of quantum junction in presence of thermal fluctuations. Our approach is based on the large deviation theory combined with the generating function method. For large number of electrons transferred, the PDF is found to decay exponentially in the tails with different rates due to applied bias. This asymmetry in the PDF is related to the fluctuation theorem. Statistics of fluctuations are analyzed in terms of the Fano factor. Thermal fluctuations play a quantitative role in determining the statistics of electron transfer; they tend to suppress the average current while enhancing the fluctuations in particle transfer. This gives rise to both bunching and antibunching phenomena as determined by the Fano factor. The thermal fluctuations and shot noise compete with each other and determine the net (effective) statistics of particle transfer. Exact analytical expression is obtained for delay time distribution. The optimal values of the delay time between successive electron transfers can be lowered below the corresponding shot noise values by tuning the thermal effects.

References

Jun 15, 1996·Physical Review. B, Condensed Matter·S A Gurvitz, Y S Prager
Oct 15, 1992·Physical Review. B, Condensed Matter·J H DaviesJ W Wilkins
Nov 2, 1987·Physical Review Letters·C K HongL Mandel
Apr 9, 1999·Science·W D OliverY Yamamoto
Oct 20, 2001·Science·R N BarnettG B Schuster
Jul 26, 2002·Nature·Harald KieselFranz Hasselbach
Oct 11, 2002·Nature·Charles SantoriYoshihisa Yamamoto
Dec 17, 2004·Physical Review Letters·N NaumovaG Mourou
Aug 11, 2005·Physical Review Letters·A Komnik, A O Gogolin
Apr 12, 2006·Physical Review Letters·M IannuzziS Pascazio
Jun 17, 2006·Science·Toshimasa FujisawaYoshiro Hirayama
Mar 16, 2007·Physical Review Letters·O ZarchinV Umansky
Mar 4, 2009·Accounts of Chemical Research·F Chen, N J Tao
Apr 27, 2010·Journal of Neuroscience Methods·Uri T Eden, Mark A Kramer
Jan 15, 2011·Physical Review Letters·D B GutmanA D Mirlin
Jan 5, 2012·Nature Communications·Niels UbbelohdeRolf J Haug
Feb 22, 2012·Nature Nanotechnology·Martin FuechsleMichelle Y Simmons
May 1, 2012·Physical Review Letters·Manohar KumarJan M van Ruitenbeek
Jun 12, 2012·Physical Review Letters·Mathias AlbertMarkus Büttiker
Feb 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A AsadianH J Briegel
Feb 26, 2013·Physical Review Letters·Giovanni De NinnoSimone Spampinati
Mar 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Upendra HarbolaKatja Lindenberg

❮ Previous
Next ❯

Citations

Apr 3, 2016·The Journal of Chemical Physics·Samuel L Rudge, Daniel S Kosov
Nov 18, 2015·Journal of Chemical Theory and Computation·Himangshu Prabal GoswamiUpendra Harbola
Nov 6, 2018·The Journal of Chemical Physics·Daniel S Kosov

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A Baule, E G D Cohen
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Gatien VerleyMassimiliano Esposito
Physical Review. B, Condensed Matter
G Schön
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Upendra HarbolaKatja Lindenberg
© 2022 Meta ULC. All rights reserved