Dispersion of Flexural Modes in Soft 2D Lattices
We have constructed a consistent theory of flexural phonon mode spectra of simple 2D crystal lattice. Analytic expressions have been obtained for the dispersion relations of 2D lattices with different configurations. It is shown that the propagation of flexural modes with a quadratic dispersion rela...
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| Veröffentlicht in: | Journal of experimental and theoretical physics 2022, Vol.134 (1), p.31-41 |
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| creator | Ipatov, A. N. Parshin, D. A. Conyuh, D. A. |
| description | We have constructed a consistent theory of flexural phonon mode spectra of simple 2D crystal lattice. Analytic expressions have been obtained for the dispersion relations of 2D lattices with different configurations. It is shown that the propagation of flexural modes with a quadratic dispersion relation becomes possible during the interaction of each atom with not only nearest neighbors, but also with more distant atoms. It turns out that the signs of the effective force constants must be different to provide mechanical stability of the system. Moreover, there exists a relation between force constants of the lattice, which depends on its geometrical configuration and for which the account for the influence of more distant coordination spheres reproduces the square of the dispersion relation of the first sphere, preserving its angular isotropy in a wide range of wavevectors. |
| doi_str_mv | 10.1134/S1063776121120098 |
| format | Article |
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Moreover, there exists a relation between force constants of the lattice, which depends on its geometrical configuration and for which the account for the influence of more distant coordination spheres reproduces the square of the dispersion relation of the first sphere, preserving its angular isotropy in a wide range of wavevectors.</description><identifier>ISSN: 1063-7761</identifier><identifier>EISSN: 1090-6509</identifier><identifier>DOI: 10.1134/S1063776121120098</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Classical and Quantum Gravitation ; Configurations ; Crystal lattices ; Electrons ; Elementary Particles ; Isotropy ; Lattice vibration ; Particle and Nuclear Physics ; Physics ; Physics and Astronomy ; Propagation modes ; Quantum Field Theory ; Relativity Theory ; Solid State Physics ; Solids and Liquids ; Two dimensional analysis</subject><ispartof>Journal of experimental and theoretical physics, 2022, Vol.134 (1), p.31-41</ispartof><rights>Pleiades Publishing, Inc. 2022. 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Moreover, there exists a relation between force constants of the lattice, which depends on its geometrical configuration and for which the account for the influence of more distant coordination spheres reproduces the square of the dispersion relation of the first sphere, preserving its angular isotropy in a wide range of wavevectors.</description><subject>Classical and Quantum Gravitation</subject><subject>Configurations</subject><subject>Crystal lattices</subject><subject>Electrons</subject><subject>Elementary Particles</subject><subject>Isotropy</subject><subject>Lattice vibration</subject><subject>Particle and Nuclear Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Propagation modes</subject><subject>Quantum Field Theory</subject><subject>Relativity Theory</subject><subject>Solid State Physics</subject><subject>Solids and Liquids</subject><subject>Two dimensional analysis</subject><issn>1063-7761</issn><issn>1090-6509</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kEFLwzAUx4MoOKcfwFvBk4fOl6RNm-PYnA4mgtNzydJkZHTNTFKY396UCjJEcsgj-f1e8n8I3WKYYEyzhzUGRouCYYIxAeDlGRph4JCyHPh5XzOa9veX6Mr7HQCUBPgIwdz4g3Le2DaxOlk06tg50SQvtlY-MW2ytjokZJ6sRAhGKn-NLrRovLr52cfoY_H4PntOV69Py9l0lUqa4ZASTWomS14wqXNGMQasOAWtlaA0k1TEkvBsAzlmG1VDroBmkIuSU8Y439Axuhv6Hpz97JQP1c52ro1PViRmygoeE0RqMlBb0ajKtNoGJ2RctdobaVulTTyfFhDjQ4l74f5EiExQx7AVnffVcv12yuKBlc5675SuDs7shfuqMFT91Ks_U48OGRwf2Xar3O-3_5e-AW44fvQ</recordid><startdate>2022</startdate><enddate>2022</enddate><creator>Ipatov, A. 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A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c341t-2f2d6c8976cf5631101e930ffea334c3a0ff294b0516bed05e03405a8936699b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Configurations</topic><topic>Crystal lattices</topic><topic>Electrons</topic><topic>Elementary Particles</topic><topic>Isotropy</topic><topic>Lattice vibration</topic><topic>Particle and Nuclear Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Propagation modes</topic><topic>Quantum Field Theory</topic><topic>Relativity Theory</topic><topic>Solid State Physics</topic><topic>Solids and Liquids</topic><topic>Two dimensional analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ipatov, A. N.</creatorcontrib><creatorcontrib>Parshin, D. A.</creatorcontrib><creatorcontrib>Conyuh, D. 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It is shown that the propagation of flexural modes with a quadratic dispersion relation becomes possible during the interaction of each atom with not only nearest neighbors, but also with more distant atoms. It turns out that the signs of the effective force constants must be different to provide mechanical stability of the system. Moreover, there exists a relation between force constants of the lattice, which depends on its geometrical configuration and for which the account for the influence of more distant coordination spheres reproduces the square of the dispersion relation of the first sphere, preserving its angular isotropy in a wide range of wavevectors.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1063776121120098</doi><tpages>11</tpages></addata></record> |
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| subjects | Classical and Quantum Gravitation Configurations Crystal lattices Electrons Elementary Particles Isotropy Lattice vibration Particle and Nuclear Physics Physics Physics and Astronomy Propagation modes Quantum Field Theory Relativity Theory Solid State Physics Solids and Liquids Two dimensional analysis |
| title | Dispersion of Flexural Modes in Soft 2D Lattices |
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