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Volumn 62, Issue 1, 2000, Pages 344-351

Excitation spectra of structurally dimerized and spin-Peierls chains in a magnetic field

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EID: 0000875575     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/physrevb.62.344     Document Type: Article
Times cited : (22)

References (47)
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    • G. S. Uhrig, F. Schönfeld, and J. P. Boucher, Europhys. Lett. 41(4), 431 (1998); G. S. Uhrig, Adv. Solid State Phys. 39, 291 (1999).
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  • 19
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    • note
    • z is the soliton width, and d is the soliton-soliton distance. We have checked that this form gives results very similar to the sinusoidal form, which has been used throughout this paper.
  • 20
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    • N. Cavadini, W. Henggeler, A. Furrer, H. U. Güdel, K. Krämer, and H. Mutka, Eur. Phys. J. B 7, 519 (1999). In this reference it has been proposed that this material might not have purely one-dimensional magnetic properties. However, there is a dominant direction with strong exchange couplings.
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    • Cavadini, N.1    Henggeler, W.2    Furrer, A.3    Güdel, H.U.4    Krämer, K.5    Mutka, H.6
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    • G. Uhrig, Phys. Rev. B 57, R14 004 (1998). (In this paper a mapping is performed from the general spin-phonon Hamiltonian onto an effective adiabatic spin model, which we have adapted in this manuscript.) K. Fabricius, A. Klümper, U. Löw, B. Büchner, T. Lorenz, D. Dhalenne, and A. Revcolevschi, Phys. Rev. B 57, 1102 (1998).
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    • note
    • The individual gaps of the finite-size clusters actually increase as δ→0. However, a finite-size scaling analysis shows that in the thermodynamic limit the spin gap decreases monotonously as δ is lowered from 1 to 0.
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    • D. Augier, E. Sorenson, J. Riera, and D. Poilblanc, Phys. Rev. B 60, 1075 (1999); E. Sorensen, I. Affleck, D. Augier, and D. Poilblanc, ibid. 58, R14 701 (1998); D. Augier, D. Poilblanc, E. Sorenson, and I. Affleck, ibid. 58, 9110 (1998).
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    • Augier, D.1    Sorenson, E.2    Riera, J.3    Poilblanc, D.4
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    • D. Augier, E. Sorenson, J. Riera, and D. Poilblanc, Phys. Rev. B 60, 1075 (1999); E. Sorensen, I. Affleck, D. Augier, and D. Poilblanc, ibid. 58, R14 701 (1998); D. Augier, D. Poilblanc, E. Sorenson, and I. Affleck, ibid. 58, 9110 (1998).
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    • P. A. Fleury and R. Loudon, Phys. Rev. 166, 514 (1968). The Raman operator may also contain alternating contributions, similar to the δ term in the Hamiltonian. We have verified that the inclusion of such a contribution modifies our results (Fig. 4) only slightly. For the sake of simplicity, we therefore stick with the easiest possible Raman operator in this paper.
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  • 40
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    • note
    • Terms in the Raman operator which commute with the Hamiltonian contribute to a featureless peak at zero frequency. In the limit δ=0, the full spin Hamiltonian is proportional to the Raman operator, leading to a trivial Raman response: I(ω) = δ(ω). Here we are interested in the nontrivial features of I(ω) away from ω=0 at finite δ.
  • 41
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    • note
    • Typically, a set of poles with decreasing weights for the higher-energy poles is indicative of an emerging continuum. This is the case for the three major poles at higher energies in the Raman spectra at zero field, whereas the lowest pole becomes an isolated bound state as N→∞.
  • 44
    • 84988794702 scopus 로고    scopus 로고
    • note
    • z/N for the finite lattice (shown in Fig. 5).
  • 45
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    • note
    • -(k).
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    • G. Uhrig, Phys. Rev. Lett. 79, 163 (1997); B. Büchner, H. Fehske, A. P. Kampf, and G. Wellein, Physica B 259-261, 956 (1999).
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    • Uhrig, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.