Stationary Anharmonic Gap Modes in a One-Dimensional Diatomic Lattice with Quartic Anharmonicity

Masanori Aoki; Shozo Takeno; A. J. Sievers

doi:10.1143/JPSJ.62.4295

Masanori Aoki, Shozo Takeno, A. J. Sievers

著者情報

キーワード: anharmonic localized mode, diatomic lattice, lattice Green’s function, gap mode, computer simulation

ジャーナル認証あり

1993 年 62 巻 12 号 p. 4295-4310

DOI https://doi.org/10.1143/JPSJ.62.4295

詳細

Published: 1993/12/15 Received: 1993/08/16 Available on J-STAGE: 2007/06/01 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2007/06/01 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) A. J. Sievers and S. Takeno: Phys. Rev. Lett. 61 (1988) 970.
2) S. Takeno, K. Kisoda and A. J. Sievers: Prog. Theor. Phys. Suppl. No. 94 (1988) 242.
3) S. Takeno: J. Phys. Soc. Jpn. 59 (1990) 1571, 3861.
4) J. B. Page: Phys. Rev. B 41 (1990) 3861.
5) S. R. Bickham and A. J. Sievers: Phys. Rev. B 43 (1991) 2339.
6) S. Takeno: J. Phys. Soc. Jpn. 61 (1992) 2821.
7) R. Bourbonnais and R. Maynard: Phys. Rev. Lett. 64 (1990) 1397.
8) V. M. Burlakov, S. A. Kiselev and V. N. Pyrkov: Solid State Commun. 74 (1990)327.
9) V. M. Burlakov, S. A. Kiselev and V. N. Pyrkov: Phys. Rev. B 42 (1990) 4921.
10) S. Takeno and K. Hori: J. Phys. Soc. Jpn. 59 (1990) 3037; 60 (1991) 947.
11) K. Yoshimura and S. Watanabe: J. Phys. Soc. Jpn. 60 (1991) 82.
12) K. Hori and S. Takeno: J. Phys. Soc. Jpn. 61(1992) 2186, 4263.
13) V. M. Burlakov, S. A. Kiselev and V. I. Rupasov: Phys. Lett. A147 (1991) 130.
14) S. R. Bickham, A. J. Sievers and S. Takeno: Phys. Rev. B45 (1992) 10344.
15) K. W. Sandusky, J. P. Page and K. E. Schmidt: Phys. Rev. B 46 (1992) 6161.
16) F. Flach and C. R. Willis: To be published in Phys. Lett. A.
17) O. A. Chubykalo, A. S. Kovalev and O. V. Ustatenko: Phys. Lett. A178 (1993) 129.
18) M. Aoki: J. Phys. Soc. Jpn. 61 (1992) 3024.
19) O. A. Chubykalo and Y. S. Kivshar: To be published in Phys. Rev. E.
20) N. Yajima and J. Satsuma: Prog. Theor. Phys. 62 (1979) 370.
21) N. Flytzanis, S. Pnevmatikos and M. Remoissenet: J. Phys. C18 (1985) 4603.
22) S. Pnevmatikos, N. Flytzanis and M. Remoissenet: Phys. Rev. B 33 (1986) 2308.
23) M. Peyrard and A. R. Bishop: Phys. Lett. 62 (1989) 2755.
24) J. Pouget, M. Remoissenet and J. M. Tamga: Phys. Rev. B47 (1993).
25) T. Dauxois and M. Peyrard: Physica D57 (1992) 267.
26) T. Dauxois, M. Peyrard and R. Willis: preprint.
27) O. A. Chubykalo and Y. S. Kivshar: Phys. Lett. A178 (1993) 123.
28) Y. S. Kivshar: Phys. Rev. Lett. 70 (1993) 3055.

Right : 1)A.J.SieversandS.Takeno:Phys.Rev.Lett.61(1988)970.
2)S.Takeno,K.KisodaandA.J.Sievers:Prog.Theor.Phys.Suppl.No.94(1988)242.
3)S.Takeno:J.Phys.Soc.Jpn.59(1990)1571,3861.
4)J.B.Page:Phys.Rev.B41(1990)3861.
5)S.R.BickhamandA.J.Sievers:Phys.Rev.B43(1991)2339.
6)S.Takeno:J.Phys.Soc.Jpn.61(1992)2821.
7)R.BourbonnaisandR.Maynard:Phys.Rev.Lett.64(1990)1397.
8)V.M.Burlakov,S.A.KiselevandV.N.Pyrkov:SolidStateCommun.74(1990)327.
9)V.M.Burlakov,S.A.KiselevandV.N.Pyrkov:Phys.Rev.B42(1990)4921.
10)S.TakenoandK.Hori:J.Phys.Soc.Jpn.59(1990)3037;60(1991)947.
11)K.YoshimuraandS.Watanabe:J.Phys.Soc.Jpn.60(1991)82.
12)K.HoriandS.Takeno:J.Phys.Soc.Jpn.61(1992)2186,4263.
13)V.M.Burlakov,S.A.KiselevandV.I.Rupasov:Phys.Lett.A147(1991)130.
14)S.R.Bickham,A.J.SieversandS.Takeno:Phys.Rev.B45(1992)10344.
15)K.W.Sandusky,J.P.PageandK.E.Schmidt:Phys.Rev.B46(1992)6161.
16)F.FlachandC.R.Willis:TobepublishedinPhys.Lett.A.
17)O.A.Chubykalo,A.S.KovalevandO.V.Ustatenko:Phys.Lett.A178(1993)129.
18)M.Aoki:J.Phys.Soc.Jpn.61(1992)3024.
19)O.A.ChubykaloandY.S.Kivshar:TobepublishedinPhys.Rev.E.
20)N.YajimaandJ.Satsuma:Prog.Theor.Phys.62(1979)370.
21)N.Flytzanis,S.PnevmatikosandM.Remoissenet:J.Phys.C18(1985)4603.
22)S.Pnevmatikos,N.FlytzanisandM.Remoissenet:Phys.Rev.B33(1986)2308.
23)M.PeyrardandA.R.Bishop:Phys.Lett.62(1989)2755.
24)J.Pouget,M.RemoissenetandJ.M.Tamga:Phys.Rev.B47(1993).
25)T.DauxoisandM.Peyrard:PhysicaD57(1992)267.
26)T.Dauxois,M.PeyrardandR.Willis:preprint.
27)O.A.ChubykaloandY.S.Kivshar:Phys.Lett.A178(1993)123.
28)Y.S.Kivshar:Phys.Rev.Lett.70(1993)3055.

訂正日: 2007/06/01 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

抄録

Stationary anharmonic localized modes with eigenfrequencies appearing in the gap between the optic and acoustic frequency bands are studied for a one-dimensional diatomic lattice with hard or soft quartic anharmonicity. A systematic analytical scheme using the lattice Green’s function method combined with the rotating-wave approximation and its improved version is developed on the one hand, and extensive numerical experiments have been made on the other. The eigenfrequencies and profile functions of anharmonic gap modes are obtained both analytically and numerically. Good quantitative agreement between the theoretical result and the experimental ones is obtained for both of the gap modes due to the hard and soft quartic anharmonicity. It is shown that the spatial localization of the latter is much more pronounced than that of the former.

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