Fluctuation-induced nucleation and dynamics of kinks on dislocation: Soliton and oscillation regimes in the two-dimensional Frenkel-Kontorova model

Gornostyrev, Yu. N.; Katsnelson, M. I.; Kravtsov, A. V.; Trefilov, A. V.

doi:10.1103/physrevb.60.1013

Cited by 19 publications

(22 citation statements)

References 15 publications

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“…As it was demonstrated in Ref. 9 , under the conditions when the termofluctuation kink nucleation is possible, the kinks demonstrate a soliton-like character of motion and, when meeting, pass through each other without annihilation.…”

Section: Formulation Of the Modelmentioning

confidence: 88%

“…As it was shown in Ref. 9 the kinks on the dislocations can behave like solitons and, when collising, pass through each other without annihilation in spite of thermal fluctuations and damping. As a result a much higher kink density than that predicted in terms of the traditional approach should be expected.…”

Section: Introductionmentioning

confidence: 98%

“…it was of order of (0.1 ÷ 0.01)P , and the friction coefficient γ varied over the range (2 ÷ 5)·10 −2 , which corresponds to typical values for metals at room temperatures (see, e.g., Ref. 9 ). Fig.1 shows a sequence of dislocation states in the 2D lattice, demonstrating thermofluctuation nucleation of kink-antikink pairs.…”

Section: Formulation Of the Modelmentioning

confidence: 99%

“…9 , we study the dislocation dynamics in terms of the 2D Frenkel-Kontorova (FK) model at finite temperatures. In the generalized 2D FK model 9,10 a layer of atoms, set into the periodic potential relief and interacting with each other by means of elastic forces, is considered.…”

Section: Formulation Of the Modelmentioning

confidence: 99%

“…A method of solving the set of stochastic differential equations (2) is described in Ref. 9 . For the numerical experiment the 2D hexagonal lattice with 40×40 atoms with periodic boundary conditions was choosen.…”

Section: Formulation Of the Modelmentioning

confidence: 99%

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Kink nucleation in the two-dimensional Frenkel-Kontorova model

et al. 2002

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A computer simulation of thermofluctuation nucleation of kinks on dislocations and their dynamics is carried out in the framework of two-dimensional (2D) Frenkel-Kontorova model. It is shown that at relatively low temperatures and applied stresses the kinks can appear as a result of developing instability of phonon modes localized in the vicinity of the dislocation. The transition from this mechanism to the ordinary thermofluctuation kink nucleation with temperature increase can reveal itself in the peculiarities of yield stress temperature dependence.

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Section: Formulation Of the Modelmentioning

confidence: 88%

Section: Introductionmentioning

confidence: 98%

Section: Formulation Of the Modelmentioning

confidence: 99%

Section: Formulation Of the Modelmentioning

confidence: 99%

Section: Formulation Of the Modelmentioning

confidence: 99%

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Kink nucleation in the two-dimensional Frenkel-Kontorova model

et al. 2002

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Moiré‐Pattern‐Tuned Electronic Structures of van der Waals Heterostructures

Tang

2020

Adv Funct Materials

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Moiré patterns are quasi‐periodic geometric patterns generated by the incommensurate stacking between two monolayers; they have rapidly attracted enormous attention due to their profound ability to modulate the electronic properties of 2D materials. For instance, the Bloch band of the Moiré superlattice, which is known as the Moiré band, can become flat at a specific series of discrete angles, and these flat bands are capable of exhibiting strong correlation behaviors such as the high‐temperature superconductivity reported recently. Moiré patterns can alter electronic properties, while surface reconstruction can modify Moiré patterns. In this review, the fundamental geometry is discussed and the basic electronic structure modification is summarized. Surface reconstruction is a method of tuning the electronic properties of a Moiré superlattice. Strong correlation phenomena, such as superconductivity, superfluidity, and magnetism induced by the flat bands, have been confirmed experimentally in recent years, which will be discussed in detail. Some possible application opportunities based on the fascinating characteristics of the Moiré pattern will also be presented. Because of the growing interest in Moiré patterns and related physical phenomena, it is anticipated that a deeper understanding of the fundamental physics of Moiré systems and further progress in the investigation of strong correlation phenomena are forthcoming.

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