Spherically localized discrete breathers in bcc metals V and Nb

Krylova, Karina A.; Lobzenko, Ivan; Семенов, А С; Kudreyko, Aleksey

doi:10.1016/j.commatsci.2020.109695

Cited by 31 publications

(9 citation statements)

References 85 publications

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“…This finding demonstrates that for different interparticle stiffness parameter values, different DNVMs have frequencies above the phonon band, which is of great importance to the analysis of possible types of DBs in fcc crystals. Note that different types of DBs can be obtained by superimposing localization functions on DNVMs that have frequencies outside the phonon band [27,32,49]. The obtained results indicate that in crystals with relatively soft interatomic bonds, DBs can be obtained using DNVMs 1 to 3, while for crystals with hard bonds, DBs can be obtained using DNVMs 4 to 6.…”

Section: Conclusion and Future Research Directionsmentioning

confidence: 89%

“…By now, DNVMs have been studied in various materials, for example, in nonlinear chains [12,[16][17][18][19], carbyne [13], graphene [15,[20][21][22][23], diamond [14], and face-centered cubic (fcc) and body-centered cubic (bcc) metals [17,[24][25][26][27][28]. DNVMs with frequencies outside the phonon band of the lattice can be used for obtaining new types of DBs by superimposing a localizing function [20,25,[29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

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Effect of the stiffness of interparticle bonds on properties of delocalized nonlinear vibrational modes in an fcc lattice

et al. 2022

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Section: Conclusion and Future Research Directionsmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Effect of the stiffness of interparticle bonds on properties of delocalized nonlinear vibrational modes in an fcc lattice

et al. 2022

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“…DNVMs found for a chain and for a 2D triangular lattice were employed to construct linear and planar DBs in fcc metals [18][19][20]. DNVMs were used to find DBs of new type in monoatomic triangular Morse lattice [21,22], in triangular β-Fermi-Pasta-Ulam-Tsingou (FPUT) lattice [23] and in bcc metals [24]. DNVMs in hexagonal lattice [25] were studied in 2D materials [26], for example, in graphene [10,[27][28][29] and boron nitride [30].…”

Section: Introductionmentioning

confidence: 99%

One-component delocalized nonlinear vibrational modes of square lattices

Ryabov¹,

Chechin²,

Naumov

et al. 2022

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All possible one-component delocalized nonlinear vibrational modes (DNVMs) in a square lattice are analyzed. DNVMs are obtained taking into account exclusively the symmetry of a square lattice, and therefore they exist regardless of the type of interactions between particles. In this work, the interactions of the nearest and next nearest neighbors are described by the β-FPU potential. For each DNVM, frequency, kinetic and potential energies are described as functions of amplitude. The mechanical stresses caused by DNVMs and the effect of DNVMs on the stiffness constants of the lattice are presented. DNVMs with higher vibration frequencies have a stronger effect on the mechanical properties of the lattice. Examples of analytical analysis of DNVMs are given. It is found that two of the sixteen one-component DNVMs can have frequencies above the phonon band in the entire range of their amplitudes. These DNVMs can be used to construct discrete breathers by applying localizing functions.

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“…DNVMs (or BNNMs) have been analyzed in molecules [101], nonlinear lattices [95,[102][103][104], and crystals [27][28][29]105,106]. DNVMs derived in the hexagonal lattice [107] were studied in graphene [50,100,108,109] and h-BN [52].…”

Section: Introductionmentioning

confidence: 99%

“…DNVMs derived in the hexagonal lattice [107] were studied in graphene [50,100,108,109] and h-BN [52]. Several one-component DNVMs were used to excite DBs with spherical symmetry in bcc metals V and Nb [106]. In another work [95], one-and two-component DNVMs (BNNMs) in the Fermi-Pasta-Ulam chain were derived and analyzed.…”

Section: Introductionmentioning

confidence: 99%