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Journal articles on the topic 'Phonon Dispersion Relation'

Author: Grafiati

Published: 4 June 2021

Last updated: 13 February 2022

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1

Chaplot, S. L. "Phonon dispersion relation inYBa2Cu3O7." Physical Review B 37, no. 13 (1988): 7435–42. http://dx.doi.org/10.1103/physrevb.37.7435.

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2

Bahari, A., and M. Amiri. "Phonon Dispersion Relation of Carbon Nanotube." Acta Physica Polonica A 115, no. 3 (2009): 625–28. http://dx.doi.org/10.12693/aphyspola.115.625.

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3

Thakor, P. B., P. N. Gajjar, and A. R. Jani. "Phonon dispersion relation of liquid metals." Pramana 72, no. 6 (2009): 1045–49. http://dx.doi.org/10.1007/s12043-009-0084-x.

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4

Ghose, S., J. M. Hastings, Narayani Choudhury, S. L. Chaplot, and K. R. Rao. "Phonon dispersion relation in fayalite, Fe2SiO4." Physica B: Condensed Matter 174, no. 1-4 (1991): 83–86. http://dx.doi.org/10.1016/0921-4526(91)90582-y.

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5

Rodrigues, Ligia M. C. S., and Stenio Wulck. "q-Deformation and Energy Deficit in Liquid Helium Phonon Spectrum." Modern Physics Letters B 11, no. 07 (1997): 297–301. http://dx.doi.org/10.1142/s0217984997000372.

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We present an application of an ideal bosonic q-gas in a ν0 inequivalent representation to the phonons in 4 He and discuss the role of q-deformation as a possible mechanism to supply the energy deficit that forbiddens one-phonon decay into two phonons when the constant γ in the phonon anomalous dispersion relation (ωph = c0p(1 - γp2)) is positive.

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6

Chaplot, S. L., L. Pintschovius, and R. Mittal. "Phonon dispersion relation measurements on zircon, ZrSiO4." Physica B: Condensed Matter 385-386 (November 2006): 150–52. http://dx.doi.org/10.1016/j.physb.2006.05.307.

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7

Mittal, R., S. L. Chaplot, Mala N. Rao, N. Choudhury, and R. Parthasarathy. "Measurement of phonon dispersion relation in zircon." Physica B: Condensed Matter 241-243 (December 1997): 403–5. http://dx.doi.org/10.1016/s0921-4526(97)00602-9.

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8

Garg, Sadhana, H. C. Gupta, and B. B. Tripathi. "Phonon dispersion relation in In-Tl alloy." Solid State Communications 56, no. 6 (1985): 519–21. http://dx.doi.org/10.1016/0038-1098(85)90706-9.

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9

Stupka, Anton. "Optical vibrations in alkali halide crystals." Canadian Journal of Physics 92, no. 11 (2014): 1356–58. http://dx.doi.org/10.1139/cjp-2014-0094.

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We consider long-wave phonon–polaritons and longitudinal optical phonons in alkali–halide ionic crystals. The model of point charges that are polarized in the self-consistent electromagnetic field in a dielectric environment is used. The standard dispersion laws for both branches of phonon–polaritons and longitudinal optical phonons are obtained. The transversal optical phonon frequency is found from the electrostatic equilibrium condition. It is proved by comparison with tabular data that the found frequency coincides with the ion plasma frequency multiplied on the relation [Formula: see text

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10

Wang, Y. R. "Temperature-dependent phonon dispersion relation in magnetic crystals." Solid State Communications 54, no. 3 (1985): 279–82. http://dx.doi.org/10.1016/0038-1098(85)91084-1.

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11

McGlamery, Devin, Alexander A. Baker, Yi-Sheng Liu, Martín A. Mosquera, and Nicholas P. Stadie. "Phonon Dispersion Relation of Bulk Boron-Doped Graphitic Carbon." Journal of Physical Chemistry C 124, no. 42 (2020): 23027–37. http://dx.doi.org/10.1021/acs.jpcc.0c06918.

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12

Kojima, Seiji, and Miroslaw Maczka. "Broadband phonon-polariton dispersion relation of ferroelectric LiTaO3 crystals." Ferroelectrics 533, no. 1 (2018): 124–31. http://dx.doi.org/10.1080/00150193.2018.1470825.

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13

Kojima, S., H. Kitahara, S. Nishizawa, and M. Wada Takeda. "Complex dispersion relation of phonon-polariton in stoichiometric LiNbO3." physica status solidi (c) 1, no. 11 (2004): 2674–77. http://dx.doi.org/10.1002/pssc.200405360.

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14

WATANUKI, TAKEO, YUHJI TSUJIMI, RUIPIN WANG, MITSURU ITOH, and TOSHIROU YAGI. "Phonon-Polariton Dispersion Relation of SrTi(18Ox16O1-x)3." Ferroelectrics 304, no. 1 (2004): 63–70. http://dx.doi.org/10.1080/00150190490454576.

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15

Jitropas, Ukrit, and Chung-Hao Hsu. "Calculation of phonon dispersion relation using new correlation functional." IOP Conference Series: Materials Science and Engineering 211 (June 2017): 012002. http://dx.doi.org/10.1088/1757-899x/211/1/012002.

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16

MISHRA, R. K., K. D. MISRA, and R. P. TIWARI. "DISPERSION OF ACOUSTIC PHONONS IN QUASIPERIODIC SUPERLATTICES." Surface Review and Letters 11, no. 06 (2004): 541–51. http://dx.doi.org/10.1142/s0218625x04006505.

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The aim of this work is to present an up-to-date study of acoustic phonon excitations that can propagate in multilayered structure with constituents arranged in quasiperiodic fashion. In this paper, the dispersion relation of acoustic phonons for the quasiperiodic superlattice using different semiconducting materials, with the help of transfer matrix method, is derived at normal angle of incidence. Calculation is presented for (a) Ge / Si and (b) Nb / Cu semiconductor superlattices from 5th to 9th generations and dispersion diagrams are plotted using the famous Kronning–Penny model obtained fr

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17

Escobar, Rodrigo A., and Cristina H. Amon. "Influence of Phonon Dispersion on Transient Thermal Response of Silicon-on-Insulator Transistors Under Self-Heating Conditions." Journal of Heat Transfer 129, no. 7 (2006): 790–97. http://dx.doi.org/10.1115/1.2717243.

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Lattice Boltzmann method (LBM) simulations of phonon transport are performed in one-dimensional (1D) and 2D computational models of a silicon-on-insulator transistor, in order to investigate its transient thermal response under Joule heating conditions, which cause a nonequilibrium region of high temperature known as a hotspot. Predictions from Fourier diffusion are compared to those from a gray LBM based on the Debye assumption, and from a dispersion LBM which incorporates nonlinear dispersion for all phonon branches, including explicit treatment of optical phonons without simplifying assumpt

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18

Galovic, Slobodanka, D. Cevizovic, S. Zekovic, and Z. Ivic. "Influence of the electron-phonon iinteraction on phonon heat conduction in a molecular nanowire." Science of Sintering 38, no. 2 (2006): 125–29. http://dx.doi.org/10.2298/sos0602125g.

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A model for phonon heat conduction in a molecular nanowire is developed. The calculation takes into account modification of the acoustic phonon dispersion relation due to the electron-phonon interaction. The results obtained are compared with models based upon a simpler, Callaway formula.

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19

Zhang Bin, Wang Yu-Fang, Jin Qing-Hua, Li Bao-Hui, and Ding Da-Tong. "Phonon dispersion relation calculations of armchair and zigzag carbon nanotubes." Acta Physica Sinica 54, no. 3 (2005): 1325. http://dx.doi.org/10.7498/aps.54.1325.

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20

Eichler, A., K. P. Bohnen, W. Reichardt, and J. Hafner. "Phonon dispersion relation in rhodium:Ab initiocalculations and neutron- scattering investigations." Physical Review B 57, no. 1 (1998): 324–33. http://dx.doi.org/10.1103/physrevb.57.324.

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21

Srivastava, K. S., A. Tandon, M. Trivedi, and N. Fatima. "Surface plasmon-optical phonon dispersion relation for spherical polar semiconductors." Physica B: Condensed Matter 159, no. 3 (1989): 295–303. http://dx.doi.org/10.1016/0921-4526(89)90009-4.

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22

ZHOU, HAI-YANG, and SHI-WEI GU. "SIZE DEPENDENCE OF THE LONGITUDINAL OPTICAL AND SURFACE OPTICAL PHONON MODES IN CYLINDRICAL QUANTUM WIRES." Modern Physics Letters B 08, no. 08n09 (1994): 545–51. http://dx.doi.org/10.1142/s0217984994000583.

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With the use of the classical macroscopic approach, we have derived the longitudinal optical (LO) and surface optical (SO) phonon modes in a cylindrical quantum wire (QW). The dispersion relation of the SO phonon modes in the QW is discussed explicitly. Having quantized the vibrational eigenmodes, we give the interaction Hamiltonian of the electron with the LO and SO phonon modes in QW.

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23

Chen, Yunfei, Deyu Li, Jennifer R. Lukes, and Arun Majumdar. "Monte Carlo Simulation of Silicon Nanowire Thermal Conductivity." Journal of Heat Transfer 127, no. 10 (2005): 1129–37. http://dx.doi.org/10.1115/1.2035114.

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Monte Carlo simulation is applied to investigate phonon transport in single crystalline Si nanowires. Phonon-phonon normal (N) and Umklapp (U) scattering processes are modeled with a genetic algorithm to satisfy energy and momentum conservation. The scattering rates of N and U scattering processes are found from first-order perturbation theory. The thermal conductivity of Si nanowires is simulated and good agreement is achieved with recent experimental data. In order to study the confinement effects on phonon transport in nanowires, two different phonon dispersions, one from experimental measu

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24

Choudhury, Narayani, K. R. Rao, and S. L. Chaplot. "Phonon dispersion relation and density of states in La2CuO4 and La2NiO4." Physica C: Superconductivity 171, no. 5-6 (1990): 567–81. http://dx.doi.org/10.1016/0921-4534(90)90274-i.

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25

Kojima, Seiji, and Tatsuya Mori. "Broadband Terahertz Time-Domain Spectroscopy of Complex Phonon-Polariton Dispersion Relation." Ferroelectrics 485, no. 1 (2015): 13–19. http://dx.doi.org/10.1080/00150193.2015.1060082.

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26

Medeiros, S. K., E. L. Albuquerque, G. A. Farias, M. S. Vasconcelos, and D. H. A. L. Anselmo. "Dispersion relation of the optical phonon frequencies in AlN/GaN superlattices." physica status solidi (c) 2, no. 7 (2005): 2512–15. http://dx.doi.org/10.1002/pssc.200461273.

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27

Mittal, R., S. L. Chaplot, L. Pintschovius, S. N. Achary, and G. R. Kowach. "Measurement of phonon dispersion relation in negative thermal expansion compound ZrW2O8." Journal of Physics: Conference Series 92 (December 1, 2007): 012174. http://dx.doi.org/10.1088/1742-6596/92/1/012174.

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28

Ordonez-Miranda, Jose, Karl Joulain, and Younes Ezzahri. "Thermal Conductance of a Surface Phonon-Polariton Crystal Made up of Polar Nanorods." Zeitschrift für Naturforschung A 72, no. 2 (2017): 135–39. http://dx.doi.org/10.1515/zna-2016-0454.

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AbstractWe demonstrate that the energy transport of surface phonon-polaritons can be large enough to be observable in a crystal made up of a three-dimensional assembly of nanorods of silicon carbide. The ultralow phonon thermal conductivity of this nanostructure along with its high surface area-to-volume ratio allows the predominance of the polariton energy over that generated by phonons. The dispersion relation, propagation length, and thermal conductance of polaritons are numerically determined as functions of the radius and temperature of the nanorods. It is shown that the thermal conductan

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29

Campbell, Joel. "The Dispersion Relation for the 1/sinh2 Potential in the Classical Limit." Zeitschrift für Naturforschung A 64, no. 3-4 (2009): 153–56. http://dx.doi.org/10.1515/zna-2009-3-401.

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Abstract The dispersion relation for the inverse hyperbolic potential is calculated in the classical limit. This is shown for both the low amplitude phonon branch and the high amplitude soliton branch. It is shown that these results qualitatively follow the previously found ones for the inverse squared potential where explicit analytic solutions are known

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30

Ramberger, Benjamin, and Georg Kresse. "New insights into the 1D carbon chain through the RPA." Physical Chemistry Chemical Physics 23, no. 9 (2021): 5254–60. http://dx.doi.org/10.1039/d0cp06607a.

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Using correlated wave function based methods, the modeling of promising new materials is elevated to a new level. For the first time, a realistic phonon dispersion relation is predicted for the infinite linear carbon chain.

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31

Maciá, Enrique. "Base-Pairs’ Correlated Oscillation Effects on the Charge Transfer in Double-Helix B-DNA Molecules." Materials 13, no. 22 (2020): 5119. http://dx.doi.org/10.3390/ma13225119.

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By introducing a suitable renormalization process, the charge carrier and phonon dynamics of a double-stranded helical DNA molecule are expressed in terms of an effective Hamiltonian describing a linear chain, where the renormalized transfer integrals explicitly depend on the relative orientations of the Watson–Crick base pairs, and the renormalized on-site energies are related to the electronic parameters of consecutive base pairs along the helix axis, as well as to the low-frequency phonons’ dispersion relation. The existence of synchronized collective oscillations enhancing the π-π orbital

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32

Shimada, D., N. Umeyama, T. Ishihara, and N. Tsuda. "Phonon contribution to high-Tc superconductivity: Tunneling conductance and photoelectron dispersion relation." Physica C: Superconductivity 439, no. 2 (2006): 105–10. http://dx.doi.org/10.1016/j.physc.2006.03.015.

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33

Maksimenko, O. B., and A. S. Mishchenko. "The nature of the phonon dispersion relation anomalies of IV - VI compounds." Journal of Physics: Condensed Matter 9, no. 26 (1997): 5561–74. http://dx.doi.org/10.1088/0953-8984/9/26/005.

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34

Jou, D., A. Sellitto, and F. X. Alvarez. "Heat waves and phonon–wall collisions in nanowires." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2133 (2011): 2520–33. http://dx.doi.org/10.1098/rspa.2010.0645.

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The dispersion relation of heat waves along nanowires is obtained, displaying the influence of the roughness of the walls. This knowledge may be useful for the development of new experimental techniques based on heat waves, complementary to current steady-state measurements, for the exploration of phonon–wall collisions in smooth and rough walls.

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35

ALÌ, GIUSEPPE, GIOVANNI MASCALI, VITTORIO ROMANO, and ROSA CLAUDIA TORCASIO. "A hydrodynamical model for covalent semiconductors with a generalized energy dispersion relation." European Journal of Applied Mathematics 25, no. 2 (2014): 255–76. http://dx.doi.org/10.1017/s0956792514000011.

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We present the first macroscopical model for charge transport in compound semiconductors to make use of analytic ellipsoidal approximations for the energy dispersion relationships in the neighbours of the lowest minima of the conduction bands. The model considers the main scattering mechanisms charges undergo in polar semiconductors, that is the acoustic, polar optical, intervalley non-polar optical phonon interactions and the ionized impurity scattering. Simulations are shown for the cases of bulk 4H and 6H-SiC.

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36

Wright, Oliver B., and Osamu Matsuda. "Watching surface waves in phononic crystals." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373, no. 2049 (2015): 20140364. http://dx.doi.org/10.1098/rsta.2014.0364.

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In this paper, we review results obtained by ultrafast imaging of gigahertz surface acoustic waves in surface phononic crystals with one- and two-dimensional periodicities. By use of quasi-point-source optical excitation, we show how, from a series of images that form a movie of the travelling waves, the dispersion relation of the acoustic modes, their corresponding mode patterns and the position and widths of phonon stop bands can be obtained by temporal and spatio-temporal Fourier analysis. We further demonstrate how one can follow the temporal evolution of phononic eigenstates in k-space us

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37

Patel, Amit B., A. Y. Vahora, Nisarg K. Bhatt, Brijmohan Y. Thakore, P. R. Vyas, and A. R. Jani. "The Temperature Dependent Elastic Moduli of Liquid Potassium." Solid State Phenomena 209 (November 2013): 220–24. http://dx.doi.org/10.4028/www.scientific.net/ssp.209.220.

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Near the melting point liquid alkali metals show positive dispersion, which can be described within generalized hydrodynamics as a visco-elastic reaction of the simple liquid. To understand an upward bending of the dispersion relation at small momentum transfer, treatment of pseudopotential theory on liquid potassium is performed at different temperatures in entire liquid regime. In the present study, we used the modified empty core potential due to Hasegawa et al. along with a local field correction due to Ichimaru-Utsumi (IU) to explain an electron-ion interaction. The potential used is comp

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38

HUANG, WEN-DENG, SHU-YI WEI, and YA-JIE REN. "THE QUASI-CONFINED OPTICAL PHONONS IN WURTZITE SYMMETRY MULTIPLE QUANTUM WELLS." Modern Physics Letters B 20, no. 22 (2006): 1367–81. http://dx.doi.org/10.1142/s0217984906011384.

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Within the framework of the dielectric-continuum model and Loudon's uniaxial crystal model, the equation of motion for p-polarization field in wurtzite multiplayer symmetry heterostructures are solved for the quasi-confined phonon (QC) modes. The polarization eigenvector, the dispersion relation, and the electron-QC interaction Fröhlich-like Hamiltonian are derived by using the transfer-matrix method. The analytical theory and formulas can be directly applied to the single quantum well (QW) and multiple quantum wells (QWs), and superlattices (SLs). The dispersion relations and the electron-QC

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39

Goda, M., M. Okamura, S. Nishino, S. Okui, R. Tanaka, and M. Kudo. "Anomalous sound propagation in a solid with a special acoustic phonon dispersion relation." Journal of Physics: Conference Series 92 (December 1, 2007): 012155. http://dx.doi.org/10.1088/1742-6596/92/1/012155.

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40

Kukita, K., and Y. Kamakura. "Monte Carlo simulation of phonon transport in silicon including a realistic dispersion relation." Journal of Applied Physics 114, no. 15 (2013): 154312. http://dx.doi.org/10.1063/1.4826367.

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41

XING, Y., X. X. LIANG, and Z. P. WANG. "OPTICAL VIBRATION MODES IN SPHERICAL CORE-SHELL QUANTUM DOTS." Modern Physics Letters B 27, no. 18 (2013): 1350134. http://dx.doi.org/10.1142/s0217984913501340.

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Using a dielectric continuum approach, the optical vibration modes in a spherical core-shell quantum dots (QDs) imbedded in a host nonpolar material are studied. The dispersion relation and the corresponding electron–phonon interaction Hamiltonian are derived. The numerical calculations for the CdSe/ZnS system are performed. The results reveal that there are three branches frequencies of interface/surface optical phonon in the system. A detailed discussion of the combined effects of the spatial confinement and dielectric mismatch between the dot and the host medium is given.

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42

Li, Deyu, Scott T. Huxtable, Alexis R. Abramson, and Arun Majumdar. "Thermal Transport in Nanostructured Solid-State Cooling Devices." Journal of Heat Transfer 127, no. 1 (2005): 108–14. http://dx.doi.org/10.1115/1.1839588.

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Low-dimensional nanostructured materials are promising candidates for high efficiency solid-state cooling devices based on the Peltier effect. Thermal transport in these low-dimensional materials is a key factor for device performance since the thermoelectric figure of merit is inversely proportional to thermal conductivity. Therefore, understanding thermal transport in nanostructured materials is crucial for engineering high performance devices. Thermal transport in semiconductors is dominated by lattice vibrations called phonons, and phonon transport is often markedly different in nanostruct

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43

Larecki, Wieslaw, and Zbigniew Banach. "Influence of nonlinearity of the phonon dispersion relation on wave velocities in the four-moment maximum entropy phonon hydrodynamics." Physica D: Nonlinear Phenomena 266 (January 2014): 65–79. http://dx.doi.org/10.1016/j.physd.2013.10.006.

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44

Liu, Y., L. P. Liu, Y. Xing, and X. X. Liang. "Effects of ternary mixed crystals on interface/surface optical phonon in spherical core-shell quantum dots." Modern Physics Letters B 33, no. 06 (2019): 1950068. http://dx.doi.org/10.1142/s0217984919500684.

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Within the framework of the dielectric continuum approach and modified random-element-isodisplacement model, the optical vibration mode in a spherical core-shell quantum dot (CSQD) consisting of ternary mixed crystals (TMCs) are investigated. The dispersion relation and electron–phonon interaction Hamiltonian are derived. As a typical case, the numerical results for [Formula: see text] and [Formula: see text] CSQDs are obtained and discussed. Taking the one- and two-mode behaviors of TMCs into account, the effects of TMCs on interface/surface optical (IO/SO) phonon show that there are 3 and 5

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45

Kukita, Kentaro, Indra Nur Adisusilo, and Yoshinari Kamakura. "Monte Carlo simulation of thermal conduction in silicon nanowires including realistic phonon dispersion relation." Japanese Journal of Applied Physics 53, no. 1 (2013): 015001. http://dx.doi.org/10.7567/jjap.53.015001.

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46

Yamada, M., A. Nagasawa, Y. Ueno та Y. Morii. "[110]TA1 phonon dispersion relation of the β1-phases in Ni–Co–Al alloys". Journal of Physics and Chemistry of Solids 60, № 8-9 (1999): 1427–29. http://dx.doi.org/10.1016/s0022-3697(99)00138-9.

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47

Chen, Youping, James D. Lee, and Azim Eskandarian. "Examining the physical foundation of continuum theories from the viewpoint of phonon dispersion relation." International Journal of Engineering Science 41, no. 1 (2003): 61–83. http://dx.doi.org/10.1016/s0020-7225(02)00141-6.

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48

Gupta, Archana, Neetu Choudhary, Parag Agarwal, Poonam Tandon, and V. D. Gupta. "Heat capacity and phonon dispersion in polyselenophene in relation to the spectra of oligoselenophenes." Synthetic Metals 162, no. 3-4 (2012): 314–25. http://dx.doi.org/10.1016/j.synthmet.2011.12.012.

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49

Yokogawa, Ryo, Haruki Takeuchi, Yasutomo Arai, Ichiro Yonenaga, Hiroshi Uchiyama, and Atsushi Ogura. "Evaluation of Phonon Dispersion Relation for Bulk Silicon Germanium by Inelastic X-ray Scattering." ECS Meeting Abstracts MA2020-02, no. 24 (2020): 1773. http://dx.doi.org/10.1149/ma2020-02241773mtgabs.

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50

Yokogawa, Ryo, Haruki Takeuchi, Yasutomo Arai, Ichiro Yonenaga, Hiroshi Uchiyama, and Atsushi Ogura. "Evaluation of Phonon Dispersion Relation for Bulk Silicon Germanium by Inelastic X-ray Scattering." ECS Transactions 98, no. 5 (2020): 465–72. http://dx.doi.org/10.1149/09805.0465ecst.

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