Excitation of intrinsic localized modes in a graphene sheet

Yamayose, Yu; Kinoshita, Yusuke; Doi, Yusuke; Nakatani, Akihiro; Kitamura, Takayuki

doi:10.1209/0295-5075/80/40008

Cited by 79 publications

(40 citation statements)

References 28 publications

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“…Japanese researchers studied the DB in graphene and carbon nanotubes [53][54][55][56][57]. To excite DB in graphene, a sophisticated procedure was used [53].…”

Section: Examples Of Db In Crystalsmentioning

confidence: 99%

Discrete breathers in crystals: achievements and open problems

Dmitriev

2016

LoM

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It has long been known that periodic discrete systems containing defects, in addition to traveling waves, allow for the existence of vibrational modes localized on defects. It turned out that if a periodic discrete system is nonlinear, it can support exact solutions in the form of spatially localized vibrational modes even in the absence of defects. Since all the nodes of the system are identical, only a special choice of initial conditions can distinguish the group of nodes, on which such localized mode, called discrete breather (DB), will be excited. Frequency of DB must lie outside the spectrum of small-amplitude traveling waves. Do not resonating with traveling waves and do not losing energy to their excitation, theoretically DB can maintain its vibrational energy forever, in the absence of thermal vibrations and other perturbations. Crystals are nonlinear discrete systems and discovery of DB in them was only a matter of time. Experimental studies of DB run into considerable technical difficulties, and the main tool of their study is by far the atomistic computer simulations. Having gained confidence in the existence of DB in crystals, we still poorly understand their role in solid state physics. This review covers issues specific to the physics of real crystals, which were not considered in the classical works on DB. In particular, it discusses the interaction of moving DB with crystal lattice defects, analyzes the influence of the elastic deformation of the lattice on the DB properties, presents recent works on the effect of nonlinear lattice excitations on the electron subsystem of the crystal, etc.

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“…Japanese researchers studied the DB in graphene and carbon nanotubes [53][54][55][56][57]. To excite DB in graphene, a sophisticated procedure was used [53].…”

Section: Examples Of Db In Crystalsmentioning

confidence: 99%

Discrete breathers in crystals: achievements and open problems

Dmitriev

2016

LoM

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“…A number of works [23,35,36] were devoted to the study of the possible existence of discrete breathers in monolayer graphene at zero temperature (T = 0 K) in computer simulations. In all these studies, various MT model were used, and the dynamics was described by the conventional Newton equations.…”

Section: Discrete Breathers In Graphenementioning

confidence: 99%

“…In all these studies, various MT model were used, and the dynamics was described by the conventional Newton equations. Breather-like dynamic objects were studied in [35] for unstrained graphene in the MT model with the Brenner potential [37], which were excited due to the displacement of the two nearest carbon atoms (located on the Y axis) at equal distances towards each other. At sufficiently large amplitudes of such displacement, a strong localization of energy in a small neighborhood of the initial excitation (breather core) took place; the amplitude of the oscillations of atoms decreased rapidly with distance from the core.…”

Section: Discrete Breathers In Graphenementioning

confidence: 99%

Discrete breathers properties obtained from ab initio calculations in graphene and graphane

Lobzenko¹

2016

LoM

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The density functional method was used for the simulation of discrete breathers in graphane (fully hydrogenated graphene) and strained graphene. It is demonstrated that breathers can exist with frequencies lying in the gap of the phonon spectrum of both systems. The gap in graphane is a consequence of high mass difference between carbon and hydrogen atoms, while in graphene the gap is induced by uniaxial tension of carbon layer in the "zigzag" direction (axes X). Breather core atoms in graphane are moving along Z direction which is perpendicular to the carbon sheet. In graphene discrete breathers are polarized in the "armchair" direction (axis Y). In both systems breathers are highly localized dynamical objects. The frequency on amplitude dependence found for breathers possess soft nonlinearity type. The results are of fundamental importance, as far as for discrete breathers in crystals molecular dynamics calculations based on empirical potentials should be revised by means of more reliable methods.

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“…Recently, theo-retical and numerical studies have focused on carbon nanotubes [16], graphene [17,18], graphane [19], etc. These materials consist of two-dimensional carbon-atom lattices.…”

Section: Introductionmentioning

confidence: 99%

Existence regions of longitudinal and transverse intrinsic localized modes in Fermi-Pasta-Ulam chain in two-dimensional plane

Kimura

Mitani

Doi

2017

NOLTA

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Abstract:We model the Fermi-Pasta-Ulam lattice, in which masses move in a twodimensional plane, and identify different types of intrinsic localized modes (ILMs): longitudinal and transverse. The stability of the ILMs is evaluated by using characteristic multipliers. Longitudinal ILMs tend to be unstable because of the buckling effect of the chain. In contrast, transverse ILMs become stable if the chain is initially stretched. This difference between the longitudinal and the transverse ILMs is revealed by computing existence regions with respect to the angular frequency and the initial extension of the chain. The results show that the longitudinal ILMs tend to be stable in low-frequency and low-extension areas whereas the transverse ILMs become stable upon strongly stretching the chain.

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Excitation of intrinsic localized modes in a graphene sheet

Cited by 79 publications

References 28 publications

Discrete breathers in crystals: achievements and open problems

Discrete breathers in crystals: achievements and open problems

Discrete breathers properties obtained from ab initio calculations in graphene and graphane

Existence regions of longitudinal and transverse intrinsic localized modes in Fermi-Pasta-Ulam chain in two-dimensional plane

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