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Volumn 10, Issue 17, 1996, Pages 2081-2101

Relation between a class of quasiperiodic lattices generated by the substitution method and the generalized continued fraction expansion

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EID: 2542583807     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217979296000945     Document Type: Article
Times cited : (3)

References (50)
  • 3
    • 0000532658 scopus 로고
    • M. Kohmoto, L. P. Kadanoff and C. Tang, Phys. Rev. Lett 50, 1870 (1983); S. Ostlund, R. Pandit, D. Rand, H. J. Schellnhuber and E. D. Siggia, Phys. Rev. Lett. 50, 1873 (1983); J. B. Sokoloff, Phys. Rep. 126, 189 (1985).
    • (1983) Phys. Rev. Lett , vol.50 , pp. 1870
    • Kohmoto, M.1    Kadanoff, L.P.2    Tang, C.3
  • 5
    • 0000236174 scopus 로고
    • M. Kohmoto, L. P. Kadanoff and C. Tang, Phys. Rev. Lett 50, 1870 (1983); S. Ostlund, R. Pandit, D. Rand, H. J. Schellnhuber and E. D. Siggia, Phys. Rev. Lett. 50, 1873 (1983); J. B. Sokoloff, Phys. Rep. 126, 189 (1985).
    • (1985) Phys. Rep. , vol.126 , pp. 189
    • Sokoloff, J.B.1
  • 6
    • 0039300367 scopus 로고
    • S. Ostlund and S. Kim, Phys. Scr. 9, 193 (1985); G. Gumbs and M. K. Ali, Phys. Rev. Lett. 60, 1081 (1988); M. Holzer, Phys. Rev. B38, 1708, 5756 (1988); F. Wijnands, J. Phys A22, 3267 (1989).
    • (1985) Phys. Scr. , vol.9 , pp. 193
    • Ostlund, S.1    Kim, S.2
  • 7
    • 0000518513 scopus 로고
    • S. Ostlund and S. Kim, Phys. Scr. 9, 193 (1985); G. Gumbs and M. K. Ali, Phys. Rev. Lett. 60, 1081 (1988); M. Holzer, Phys. Rev. B38, 1708, 5756 (1988); F. Wijnands, J. Phys A22, 3267 (1989).
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 1081
    • Gumbs, G.1    Ali, M.K.2
  • 8
    • 33749376929 scopus 로고
    • S. Ostlund and S. Kim, Phys. Scr. 9, 193 (1985); G. Gumbs and M. K. Ali, Phys. Rev. Lett. 60, 1081 (1988); M. Holzer, Phys. Rev. B38, 1708, 5756 (1988); F. Wijnands, J. Phys A22, 3267 (1989).
    • (1988) Phys. Rev. , vol.B38 , pp. 1708
    • Holzer, M.1
  • 9
    • 0042657803 scopus 로고
    • S. Ostlund and S. Kim, Phys. Scr. 9, 193 (1985); G. Gumbs and M. K. Ali, Phys. Rev. Lett. 60, 1081 (1988); M. Holzer, Phys. Rev. B38, 1708, 5756 (1988); F. Wijnands, J. Phys A22, 3267 (1989).
    • (1989) J. Phys , vol.A22 , pp. 3267
    • Wijnands, F.1
  • 10
    • 24544451013 scopus 로고
    • T. Odagaki and H. Aoyama, Phys. Rev Lett. 61, 775 (1988); M. Koláṙ and M. K. Ali, Phys. Rev. B39, 426, 6538 (1989); J. A. G. Roberts and M. Baake, J. Stat. Phys. 74, 829 (1994); Z. Y. Wen, F. Wijnands and J. S. Lamb, J. Phys. A27, 3689 (1994).
    • (1988) Phys. Rev Lett. , vol.61 , pp. 775
    • Odagaki, T.1    Aoyama, H.2
  • 11
    • 25344464869 scopus 로고
    • T. Odagaki and H. Aoyama, Phys. Rev Lett. 61, 775 (1988); M. Koláṙ and M. K. Ali, Phys. Rev. B39, 426, 6538 (1989); J. A. G. Roberts and M. Baake, J. Stat. Phys. 74, 829 (1994); Z. Y. Wen, F. Wijnands and J. S. Lamb, J. Phys. A27, 3689 (1994).
    • (1989) Phys. Rev. , vol.B39 , pp. 426
    • Kolár, M.1    Ali, M.K.2
  • 12
    • 21344483960 scopus 로고
    • T. Odagaki and H. Aoyama, Phys. Rev Lett. 61, 775 (1988); M. Koláṙ and M. K. Ali, Phys. Rev. B39, 426, 6538 (1989); J. A. G. Roberts and M. Baake, J. Stat. Phys. 74, 829 (1994); Z. Y. Wen, F. Wijnands and J. S. Lamb, J. Phys. A27, 3689 (1994).
    • (1994) J. Stat. Phys. , vol.74 , pp. 829
    • Roberts, J.A.G.1    Baake, M.2
  • 13
    • 21344493632 scopus 로고
    • T. Odagaki and H. Aoyama, Phys. Rev Lett. 61, 775 (1988); M. Koláṙ and M. K. Ali, Phys. Rev. B39, 426, 6538 (1989); J. A. G. Roberts and M. Baake, J. Stat. Phys. 74, 829 (1994); Z. Y. Wen, F. Wijnands and J. S. Lamb, J. Phys. A27, 3689 (1994).
    • (1994) J. Phys. , vol.A27 , pp. 3689
    • Wen, Z.Y.1    Wijnands, F.2    Lamb, J.S.3
  • 14
    • 0000331689 scopus 로고
    • M. Kohmoto and Y. Oono, Phys. Lett. A102, 145 (1984); B. Sutherland, Phys. Rev. Lett. 57, 770 (1986); M. Kohmoto and J. R. Banavar, Phys. Rev. B34, 563 (1986); M. Kohmoto, B. Sutherland and C. Tang, Phys. Rev. B35, 1020 (1987); B. Sutherland and M. Kohmoto, Phys. Rev. B36, 5877 (1987); M. Kohmoto, B. Sutherland and K. Iguchi, Phys. Rev. Lett. 58, 2436 (1987).
    • (1984) Phys. Lett. , vol.A102 , pp. 145
    • Kohmoto, M.1    Oono, Y.2
  • 15
    • 4243945359 scopus 로고
    • M. Kohmoto and Y. Oono, Phys. Lett. A102, 145 (1984); B. Sutherland, Phys. Rev. Lett. 57, 770 (1986); M. Kohmoto and J. R. Banavar, Phys. Rev. B34, 563 (1986); M. Kohmoto, B. Sutherland and C. Tang, Phys. Rev. B35, 1020 (1987); B. Sutherland and M. Kohmoto, Phys. Rev. B36, 5877 (1987); M. Kohmoto, B. Sutherland and K. Iguchi, Phys. Rev. Lett. 58, 2436 (1987).
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 770
    • Sutherland, B.1
  • 16
    • 0000944325 scopus 로고
    • M. Kohmoto and Y. Oono, Phys. Lett. A102, 145 (1984); B. Sutherland, Phys. Rev. Lett. 57, 770 (1986); M. Kohmoto and J. R. Banavar, Phys. Rev. B34, 563 (1986); M. Kohmoto, B. Sutherland and C. Tang, Phys. Rev. B35, 1020 (1987); B. Sutherland and M. Kohmoto, Phys. Rev. B36, 5877 (1987); M. Kohmoto, B. Sutherland and K. Iguchi, Phys. Rev. Lett. 58, 2436 (1987).
    • (1986) Phys. Rev. , vol.B34 , pp. 563
    • Kohmoto, M.1    Banavar, J.R.2
  • 17
    • 24444480220 scopus 로고
    • M. Kohmoto and Y. Oono, Phys. Lett. A102, 145 (1984); B. Sutherland, Phys. Rev. Lett. 57, 770 (1986); M. Kohmoto and J. R. Banavar, Phys. Rev. B34, 563 (1986); M. Kohmoto, B. Sutherland and C. Tang, Phys. Rev. B35, 1020 (1987); B. Sutherland and M. Kohmoto, Phys. Rev. B36, 5877 (1987); M. Kohmoto, B. Sutherland and K. Iguchi, Phys. Rev. Lett. 58, 2436 (1987).
    • (1987) Phys. Rev. , vol.B35 , pp. 1020
    • Kohmoto, M.1    Sutherland, B.2    Tang, C.3
  • 18
    • 0000340174 scopus 로고
    • M. Kohmoto and Y. Oono, Phys. Lett. A102, 145 (1984); B. Sutherland, Phys. Rev. Lett. 57, 770 (1986); M. Kohmoto and J. R. Banavar, Phys. Rev. B34, 563 (1986); M. Kohmoto, B. Sutherland and C. Tang, Phys. Rev. B35, 1020 (1987); B. Sutherland and M. Kohmoto, Phys. Rev. B36, 5877 (1987); M. Kohmoto, B. Sutherland and K. Iguchi, Phys. Rev. Lett. 58, 2436 (1987).
    • (1987) Phys. Rev. , vol.B36 , pp. 5877
    • Sutherland, B.1    Kohmoto, M.2
  • 19
    • 35949008683 scopus 로고
    • M. Kohmoto and Y. Oono, Phys. Lett. A102, 145 (1984); B. Sutherland, Phys. Rev. Lett. 57, 770 (1986); M. Kohmoto and J. R. Banavar, Phys. Rev. B34, 563 (1986); M. Kohmoto, B. Sutherland and C. Tang, Phys. Rev. B35, 1020 (1987); B. Sutherland and M. Kohmoto, Phys. Rev. B36, 5877 (1987); M. Kohmoto, B. Sutherland and K. Iguchi, Phys. Rev. Lett. 58, 2436 (1987).
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 2436
    • Kohmoto, M.1    Sutherland, B.2    Iguchi, K.3
  • 21
    • 0010949850 scopus 로고
    • P. A. Kalugin, A. Tu. Kitaev and L. S. Levitov, Zh. Eksp. Thor. Fiz. 91, 692 (1986) [Sov. Phys. JETP 64, 410 (1986)].
    • (1986) Sov. Phys. JETP , vol.64 , pp. 410
  • 22
    • 0004248096 scopus 로고
    • eds. A. R. Bishop, D. K. Campbell and S. Pnevmatikos Springer-Verlag, Berlin
    • B. Sutherland, in Disorder and Nonlinearity, eds. A. R. Bishop, D. K. Campbell and S. Pnevmatikos (Springer-Verlag, Berlin, 1988), p. 62.
    • (1988) Disorder and Nonlinearity , pp. 62
    • Sutherland, B.1
  • 23
    • 85033822490 scopus 로고
    • Ph.D. Thesis, University of Utah, Salt Lake City
    • K. Iguchi, Ph.D. Thesis, University of Utah, Salt Lake City (1990); Phys. Rev. B43, 5915, 5919 (1991); Mat. Sci. Eng. B15, L13 (1992); J. Math. Phys. 33, 3938 (1992); Int. J. Mod. Phys. B8, 1931 (1994); K. Iguchi and T. Yoshikawa, Phys. Lett. A182, 265 (1993).
    • (1990)
    • Iguchi, K.1
  • 24
    • 4243928728 scopus 로고
    • K. Iguchi, Ph.D. Thesis, University of Utah, Salt Lake City (1990); Phys. Rev. B43, 5915, 5919 (1991); Mat. Sci. Eng. B15, L13 (1992); J. Math. Phys. 33, 3938 (1992); Int. J. Mod. Phys. B8, 1931 (1994); K. Iguchi and T. Yoshikawa, Phys. Lett. A182, 265 (1993).
    • (1991) Phys. Rev. , vol.B43 , pp. 5915
  • 25
    • 24544456444 scopus 로고
    • K. Iguchi, Ph.D. Thesis, University of Utah, Salt Lake City (1990); Phys. Rev. B43, 5915, 5919 (1991); Mat. Sci. Eng. B15, L13 (1992); J. Math. Phys. 33, 3938 (1992); Int. J. Mod. Phys. B8, 1931 (1994); K. Iguchi and T. Yoshikawa, Phys. Lett. A182, 265 (1993).
    • (1992) Mat. Sci. Eng. , vol.B15
  • 26
    • 2742568996 scopus 로고
    • K. Iguchi, Ph.D. Thesis, University of Utah, Salt Lake City (1990); Phys. Rev. B43, 5915, 5919 (1991); Mat. Sci. Eng. B15, L13 (1992); J. Math. Phys. 33, 3938 (1992); Int. J. Mod. Phys. B8, 1931 (1994); K. Iguchi and T. Yoshikawa, Phys. Lett. A182, 265 (1993).
    • (1992) J. Math. Phys. , vol.33 , pp. 3938
  • 27
    • 0348192768 scopus 로고
    • K. Iguchi, Ph.D. Thesis, University of Utah, Salt Lake City (1990); Phys. Rev. B43, 5915, 5919 (1991); Mat. Sci. Eng. B15, L13 (1992); J. Math. Phys. 33, 3938 (1992); Int. J. Mod. Phys. B8, 1931 (1994); K. Iguchi and T. Yoshikawa, Phys. Lett. A182, 265 (1993).
    • (1994) Int. J. Mod. Phys. , vol.B8 , pp. 1931
  • 28
    • 2742515116 scopus 로고
    • K. Iguchi, Ph.D. Thesis, University of Utah, Salt Lake City (1990); Phys. Rev. B43, 5915, 5919 (1991); Mat. Sci. Eng. B15, L13 (1992); J. Math. Phys. 33, 3938 (1992); Int. J. Mod. Phys. B8, 1931 (1994); K. Iguchi and T. Yoshikawa, Phys. Lett. A182, 265 (1993).
    • (1993) Phys. Lett. , vol.A182 , pp. 265
    • Iguchi, K.1    Yoshikawa, T.2
  • 32
    • 21144480346 scopus 로고
    • K. Iguchi, J. Phys. Soc. Jpn. 62, 1802 (1993); Mod. Phys. Lett. B7, 39 (1993).
    • (1993) J. Phys. Soc. Jpn. , vol.62 , pp. 1802
    • Iguchi, K.1
  • 33
    • 21144480346 scopus 로고
    • K. Iguchi, J. Phys. Soc. Jpn. 62, 1802 (1993); Mod. Phys. Lett. B7, 39 (1993).
    • (1993) Mod. Phys. Lett. , vol.B7 , pp. 39
  • 37
    • 21144470147 scopus 로고
    • Y. Avishai and D. Berend, J. Phys. A26, 2437 (1993); Y. Avishai, D. Berend and D. Glaubman, Phys. Rev. Lett. 72, 1842 (1994).
    • (1993) J. Phys. , vol.A26 , pp. 2437
    • Avishai, Y.1    Berend, D.2
  • 41
    • 0003766834 scopus 로고
    • Oxford Univ. Press, New York
    • G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, fifth edn. (Oxford Univ. Press, New York, 1978); M. R. Schroeder. Number Theory in Science and Communication, second enlarged edn. (Springer-Verlag, New York, 1986); D. M. Burton, Elementary Number Theory. Third edn. (Wm. C. Brown Publishers, Dubuque, 1989).
    • (1978) An Introduction to the Theory of Numbers, Fifth Edn.
    • Hardy, G.H.1    Wright, E.M.2
  • 42
    • 0003864507 scopus 로고
    • Springer-Verlag, New York
    • G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, fifth edn. (Oxford Univ. Press, New York, 1978); M. R. Schroeder. Number Theory in Science and Communication, second enlarged edn. (Springer-Verlag, New York, 1986); D. M. Burton, Elementary Number Theory. Third edn. (Wm. C. Brown Publishers, Dubuque, 1989).
    • (1986) Number Theory in Science and Communication, Second Enlarged Edn.
    • Schroeder, M.R.1
  • 43
    • 0003635545 scopus 로고
    • Wm. C. Brown Publishers, Dubuque
    • G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, fifth edn. (Oxford Univ. Press, New York, 1978); M. R. Schroeder. Number Theory in Science and Communication, second enlarged edn. (Springer-Verlag, New York, 1986); D. M. Burton, Elementary Number Theory. Third edn. (Wm. C. Brown Publishers, Dubuque, 1989).
    • (1989) Elementary Number Theory. Third Edn.
    • Burton, D.M.1
  • 44
    • 2742530575 scopus 로고
    • (in Japanese) Kyoritu, Tokyo
    • T. Takagi, Daisugaku Kogi, (in Japanese) (Kyoritu, Tokyo, 1965), p. 104.
    • (1965) Daisugaku Kogi , pp. 104
    • Takagi, T.1
  • 46
    • 2742588675 scopus 로고
    • K. Iguchi, Phys. Lett. A174, 38 (1993); K. Iguchi and T. Yoshikawa, Mod. Phys. Lett. B7, 673 (1993).
    • (1993) Phys. Lett. , vol.A174 , pp. 38
    • Iguchi, K.1
  • 48
    • 0009523129 scopus 로고
    • eds. D. Baeriswyl and D. K. Campbell Plenum, New York
    • B. Sutherland, in Interacting Electrons in Reduced Dimensions, eds. D. Baeriswyl and D. K. Campbell (Plenum, New York, 1989), p. 1; J. Hubbard, Phys. Rev. B17, 494 (1978); V. L. Pokrovsky and G. V. Umin, J. Phys. C11, 3535 (1978).
    • (1989) Interacting Electrons in Reduced Dimensions , pp. 1
    • Sutherland, B.1
  • 49
    • 0000615958 scopus 로고
    • B. Sutherland, in Interacting Electrons in Reduced Dimensions, eds. D. Baeriswyl and D. K. Campbell (Plenum, New York, 1989), p. 1; J. Hubbard, Phys. Rev. B17, 494 (1978); V. L. Pokrovsky and G. V. Umin, J. Phys. C11, 3535 (1978).
    • (1978) Phys. Rev. , vol.B17 , pp. 494
    • Hubbard, J.1
  • 50
    • 0001712021 scopus 로고
    • B. Sutherland, in Interacting Electrons in Reduced Dimensions, eds. D. Baeriswyl and D. K. Campbell (Plenum, New York, 1989), p. 1; J. Hubbard, Phys. Rev. B17, 494 (1978); V. L. Pokrovsky and G. V. Umin, J. Phys. C11, 3535 (1978).
    • (1978) J. Phys. , vol.C11 , pp. 3535
    • Pokrovsky, V.L.1    Umin, G.V.2


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