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## Corrigendum: The quantum phase slip phenomenon in superconducting nanowires with a low-Ohmic environment

Superconductor Science and Technology. 2013. Vol. 26. No. 3. P. 039503-039503.

Arutyunov K., Lehtinen J. S.

On the second page, after equation (1), the statement

‘. . . where RN is the normal state resistance, RQ D h=2e D

6:45 k is the superconducting quantum resistance, . . . ’

contains a misprint. The correct expression is RQ D h=.2e/2 D

6:45 k.

Arutyunov K., Lehtinen J. S., Superconductor Science and Technology 2012 Vol. 25 P. 1240071-1240075

In a number of recent experiments it has been demonstrated that in ultra-narrow
superconducting channels quantum fluctuations of the order parameter, alternatively called
quantum phase slips, are responsible for the finite resistance well below the critical
temperature. Acceptable agreement between those experiments and the models describing
quantum fluctuations in quasi-one-dimensional superconductors has been established.
However, the very concept of phase ...

Added: March 24, 2014

Arutyunov K., Sajavaara T., Lehtinen J. S. et al., Physical Review B: Condensed Matter and Materials Physics 2012 Vol. 85 No. 9 P. 0945081-0945087

Electron transport properties of titanium nanowires were experimentally studied. Below the effective diameter
50nm all samples demonstrated a pronounced broadening of the R(T ) dependencies, which cannot be accounted
for by thermal fluctuations. Extensive microscopic and elemental analyses indicate the absence of structural or/and
geometrical imperfections capable of broadening the R(T ) transition to such an extent. We ...

Added: March 24, 2014

Arutyunov K., Lehtinen J. S., Rantala T., Journal of Physics: Conference Series 2014

The topic of quantum fluctuations in quasi-1D superconductors, also called quantum phase slips (QPS), has attracted a significant attention. It has been shown that the phenomenon is capable to suppress zero resistivity of ultra-narrow superconducting nanowires at low temperatures T<<Tc and quench persistent currents in tiny nanorings. It has been predicted that a superconducting nanowire ...

Added: March 24, 2014

Arutyunov K., Lehtinen J. S., Rantala T., Physical Review Letters 2014

The topic of quantum fluctuations in quasi-1D superconductors, also called quantum phase slips (QPS), has
attracted a significant attention. It has been shown that the phenomenon is capable to suppress zero resistivity of
ultra-narrow superconducting nanowires at low temperatures T<<Tc and quench persistent currents in tiny
nanorings. It has been predicted that a superconducting nanowire in the regime ...

Added: March 24, 2014

Konstantin Yu. Arutyunov, Hongisto T. T., Lehtinen J. S. et al., Scientific Reports 2012 Vol. 2 No. 293 P. 1-7

The smaller the system, typically - the higher is the impact of fluctuations. In narrow superconducting wires
sufficiently close to the critical temperature Tc thermal fluctuations are responsible for the experimentally
observable finite resistance. Quite recently it became possible to fabricate sub-10 nm superconducting
structures, where the finite resistivity was reported within the whole range of experimentally obtainable
temperatures. ...

Added: March 24, 2014

Arutyunov, K.Y., Astafiev O. V., Ioffe L. B. et al., Nature 2012 Vol. 484 No. 7394 P. 355-358

A hundred years after the discovery of superconductivity, one
fundamental prediction of the theory, coherent quantum phase
slip (CQPS), has not been observed. CQPS is a phenomenon exactly
dual1 to the Josephson effect; whereas the latter is a coherent
transfer of charges between superconducting leads2,3, the former
is a coherent transfer of vortices or fluxes across a superconducting
wire. In contrast ...

Added: March 24, 2014

Arutyunov K., Lehtinen J. S., Zakharov K., Physical Review Letters 2012 Vol. 109 No. 18 P. 187001-187005

Quantum fluctuations in quasi-one-dimensional superconducting channels leading to spontaneous
changes of the phase of the order parameter by 2, alternatively called quantum phase slips (QPS),
manifest themselves as the finite resistance well below the critical temperature of thin superconducting
nanowires and the suppression of persistent currents in tiny superconducting nanorings. Here we report the
experimental evidence that in a ...

Added: March 24, 2014

Kolokolov I., Lebedev V., Журнал экспериментальной и теоретической физики 2024 Т. 165 № 1 С. 128-140

We examine fluctuations of vorticity excited by an external random force in two-dimensional fluid in the presence of a strong external shear flow. The problem is motivated by the analysis of big coherent vortices appearing as a consequence of the inverse energy cascade in a finite box at large Reynolds numbers. We develop the perturbation ...

Added: January 29, 2024

Parfenyev V., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2022 Vol. 106 No. 2 Article 025102

It is well known that an inverse turbulent cascade in a finite ($2 \pi \times 2 \pi$) two-dimensional periodic domain leads to the emergence of a system-sized coherent vortex dipole. We report a numerical hyperviscous study of the spatial vorticity profile inside one of the vortices. The exciting force was shortly correlated in time, random ...

Added: August 10, 2022

Aladyshkin A., Nefedov I. undefined., Aladyshkina A. S. et al., Physica C: Superconductivity and its Applications 2012 Vol. 479 P. 98-101

We investigate numerically the formation of vortex–antivortex pairs in thin-film superconducting strip in the presence of a straight current-carrying wire, oriented perpendicular to this strip. We demonstrate that the change in the number of the trapped vortices/antivortices inside the strip near the current-carrying wire results in a oscillatory dependence of the critical current Ic on ...

Added: November 19, 2012

Leuven : KU Leuven Methusalem Group, 2015

Added: March 22, 2016

I.V.Kolokolov, V.V.Lebedev, Journal of Fluid Mechanics 2016 Vol. 809 No. paper R2 P. 1-11

We analyze velocity fluctuations inside coherent vortices generated as a result of the inverse cascade in the two-dimensional ($2d$) turbulence in a finite box. As we demonstrated in \citep{16KL}, the universal velocity profile, established in \citep{14LBFKL}, corresponds to the passive regime of the flow fluctuations. The property enables one to calculate correlation functions of the ...

Added: October 23, 2016

Burmistrov I.S., Skvortsov M. A., Physical Review B 2018 Т. 97 № 014515 С. 1-13

We study the density of states (DOS) and the transition temperature Tc in a dirty superconducting film with rare classical magnetic impurities of an arbitrary strength described by the Poissonian statistics. We take into account that the potential disorder is a source of mesoscopic fluctuations of the local DOS, and, consequently, of the effective strength of magnetic ...

Added: June 6, 2018

Springer, 2022

The 9th International Symposium “Optics and its Applications” was held in Yerevan & Ashtarak, Armenia from January 15 to 19, 2022. This Symposium was dedicated to the Academician of the National Academy of Sciences (NAS) of
Armenia, Prof. Eduard Kazaryan, on the occasion of his 80th birthday. Therefore, it is not accidental that many of the ...

Added: November 7, 2022

E. S. Pikina, Muratov A. R., Kats E. I. et al., Annals of Physics, Elsevier 2022 Vol. 447 Article 168916

The aim of this work is to revisit the phenomenological theory of the interaction between membrane inclusions, mediated by the membrane fluctuations. We consider the case where the inclusions are separated by distances larger than their characteristic size. Within our macroscopic approach a physical nature of such inclusions is not essential, however
we have always in ...

Added: October 28, 2022

Саратов : Издательство Саратовского университета, 2009

В материалах научно-технической конференции освещены вопросы теоретических и экспериментальных исследований в области развития электроники и вакуумной техники: разработка новых вакуумных приборов СВЧ и их узлов, нанотехнологические аспекты изготовления электровакуумных приборов, твердотельных приборов и их компонентов, в том числе акустоэлектронных линий задержки, акустических анализаторов спектра радиосигналов и акустических гироскопов. Обсуждаются проблемы конструирования высоковольтных вакуумных дугогасительных камер ...

Added: July 3, 2013

Ivashov E., Федотов К. Д., В кн. : INTERMATIC - 2013. Материалы Международной научно-технической конференции "Фундаментальные проблемы радиоэлектронного приборостроения", 2–6 декабря 2013 г., Москва. Ч. 3.: МГТУ МИРЭА – ИРЭ РАН, 2013. С. 194-197.

Рассмотрены модификации устройств зондовой микроскопии с применением тепловых трубок. Описаны процессы переноса тепла и энергии в тепловых трубках. ...

Added: December 21, 2013

K. Yu. Arutyunov, Lehtinen J. S., Radkevich A. A. et al., Physics of the Solid State 2017 Vol. 59 No. 11 P. 2110-2113

The current–voltage characteristics of superconductor–insulator–semiconductor (S1–I–S2)
tunnel junctions, where superconducting electrode S2 is a thin nanowire, are studied experimentally. The
observed blurring of the gap singularities is interpreted as a manifestation of the order parameter quantum
fluctuations. We propose a model taking into account the broadening of the density of states due to the interaction
of electrons with the ...

Added: November 29, 2017

Ivashov E., Федотов К. Д., В кн. : Инновации на основе информационных и коммуникационных технологий: Материалы международной научно-практической конференции (2013). : М. : МИЭМ НИУ ВШЭ, 2013. С. 478-479.

Heat pipes application in nanotechnological equipment is considered on examples of probe movement manipulators. Approaches to improvements of manipulators for effective heat extraction from operating area are shown. ...

Added: December 20, 2013

Bystryi R., Journal of Physics: Conference Series 2015 Vol. 653 No. 01-2154 P. 1-5

Pressure of plasma is calculated by using classical molecular dynamics method. The formula based on virial theorem was used. Spectrum pressure's fluctuations of singly ionized non-ideal plasma are studied. 1/f-like spectrum behavior is observed. In other words, flicker noise is observed in fluctuations of pressure equilibrium non-ideal plasma. Relations between the obtained result and pressure ...

Added: December 15, 2015

Munyaev V., Smirnov L., Kostin V. et al., New Journal of Physics 2020 Vol. 22 Article 023036

We study populations of globally coupled noisy rotators(oscillators with inertia) allowing a nonequilibrium transition from a desynchronized state to a synchronous one (with the nonvanishing order parameter). The newly developed analytical approaches resulted in solutions describing the synchronous state with constant order parameter for weakly inertial rotators, including the case of zero inertia, when the ...

Added: October 31, 2020

Tlyachev T. V., Chebotarev A.M., Chirkin A. S., Physica Scripta 2013 Vol. 153 P. 014060-014064

A new approach is proposed to solve the quantum evolution problem for a system with an arbitrary number of coupled optical parametric processes. Our method is based on the canonical transformations which define the evolution of the system in the Heisenberg picture. This theory overcomes the difficulties arising in the Wei–Norman method. The application of ...

Added: January 15, 2014

Babkin S. S., Lyublinskaya A. A., I. S. Burmistrov, Physical Review Research 2022 Vol. 4 No. 2 Article 023202

The interplay of a potential and magnetic disorder in superconductors has remained an active field of research for decades. Within the framework of the Usadel equation, we study the local density of states (LDOS) near a solitary classical magnetic impurity in a dirty superconducting film. We find that a potential disorder results in broadening of ...

Added: November 13, 2022

М. : Издательство математико-механического факультета МГУ, 2009

В настоящий сборник вошли аннотации докладов участников XVI международной конференции «Ломоносов» по секции «Математика и механика». ...

Added: February 4, 2013