NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2018, 9 (6), P. 724–734
A comparative analysis of the observed effects of 2D tunneling bifurcations for quasi-one-dimensional and quasi-two-dimensional Au–QD systems in an external electric field
M. B. Semenov – Department of Physics, Penza State University, Penza 440026, Russia; misha29.02@gmail.com
V. D. Krevchik – Department of Physics, Penza State University, Penza 440026, Russia
O. N. Gorshkov – Department of Physics, Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod 603950, Russia
D. O. Filatov – Department of Physics, Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod 603950, Russia
Y. Dakhnovsky – Department of Physics and Astronomy, University of Wyoming, WY 82071 Laramie, USA
A.V. Nikolaev – Moscow State University, Moscow 119991, Russia
A. P. Shkurinov – Moscow State University, Moscow 119991, Russia
V.Yu. Timoshenko – Moscow State University, Moscow 119991, Russia
P.V. Krevchik – Department of Physics, Penza State University, Penza 440026, Russia
A. K. Malik – Department of Physics, Multanimal Modi College Modinagar, Uttar Prasesh 201204, India
Y. H. Wang – Institute of Functional and Environmental Materials, Lanzhou University, Lanzhou, China
T. R. Li – Institute of Functional and Environmental Materials, Lanzhou University, Lanzhou, China
Y. Zhu – University of Shanghai for Science and Technology, Shanghai 200093, China
S. Zhuang – University of Shanghai for Science and Technology, Shanghai 200093, China
R.V. Zaytsev – Department of Physics, Penza State University, Penza 440026, Russia
I. S. Antonov – Department of Physics, Penza State University, Penza 440026, Russia
I. M. Semenov – Department of Physics, Penza State University, Penza 440026, Russia
A. K. Aringazin – Institute for Basic Research, Eurasian National University, Astana 010008, Kazakhstan
A.V. Shorokhov – Institute of Physics and Chemistry, National Research Mordovia State University, Saransk 430005, Russia; alex.shorokhov@mail.ru
The effects of 2D tunneling bifurcations for quasi-one-dimensional and quasi-two-dimensional Au-quantum dot (QD) arrays in thin dielectric films in an external electric field have been studied theoretically and experimentally by Conductive Atomic Force Microscopy (CAFM). In the case of quasi-one-dimensional Au–QD structures (with the QD size ~ 5 nm), in a dielectric film, a single break under positive bias polarity, corresponding to the effect of 2D tunneling bifurcation, previously predicted theoretically by our team [1], has been detected in experimental I—V curves of the CAFM probe-to-sample contact. A convincing qualitative agreement between the obtained experimental I—V curves and the theoretical field dependence for the 2D-dissipative tunneling probability in the model 2D-oscillator potential has been obtained for the case of parallel tunneling in the weak-dissipation limit at a finite temperature in an external electric field. In the case of quasi-two-dimensional structures with Au QD (with the QD sizes of 2 to 5 nm), possessing metamaterial properties, a pair of kinks corresponding to the double effect of 2D-tunneling bifurcations has been detected on the experimental I—V curves. A qualitative agreement between the experimental I—V curves and the theoretical field dependence for the 2D-dissipative tunneling probability has been obtained for a situation with an effectively “negative” permittivity of the heat bath.
Keywords: quantum tunneling with dissipation, quantum dots, two-dimensional bifurcations.
PACS 73.40.Gk, 03.65.Xp
DOI 10.17586/2220-8054-2018-9-6-724-734