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Prog. Theor. Phys. Vol. 41 No. 4 (1969) pp. 880-890

[ Full Text PDF : FREE ACCESS (594K) ]

Fermi-Liquid Theory of Linear Antiferromagnetic Chains

Tomoji Yamada

Department of Physics, Faculty of Science, Kyoto University, Kyoto

(Received November 11, 1968)

Abstract:

An attempt has been made to understand various results obtained so far in the one-dimensional isotropic antiferromagnetic spin system from the point of veiw of the Fermi liquid theory. Specific heat thus obtained is very close to the value given by Bonner and Fisher by the numerical calculation. A brief discussion is made on the exact solution of the magnetic susceptibility.


URL : http://ptp.ipap.jp/link?PTP/41/880/
DOI : 10.1143/PTP.41.880

[ Full Text PDF : FREE ACCESS (594K) ] Citation:

References:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 58 (1989) pp. 3334-3338 :
    Quantum Lattice Liquid Version of the S=1/2 Linear Heisenberg Antiferromagnet
    Tosizumi Aoki
  2. Journal of the Physical Society of Japan 64 (1995) pp. 3120-3121 :
    Elementary Excitations for the Isotropic S=1/2 One-Dimensional Heisenberg Antiferromagnet at Finite Temperatures
    Yukihiro Morita, Seiichiro Suga and Ayao Okiji
  3. Journal of the Physical Society of Japan 66 (1997) pp. 3617-3635 :
    Spin Dynamics of the One-Dimensional J- J' Model and Spin-Peierls Transition in CuGeO 3
    Hisatoshi Yokoyama and Yasuhiro Saiga
  4. Journal of the Physical Society of Japan 81 (2012) 084706 (7 pages) :
    Quantum Renormalization Effect in One-Dimensional Heisenberg Antiferromagnets
    Shinichi Itoh, Tetsuya Yokoo, Shin-ichiro Yano, Daichi Kawana, Hidekazu Tanaka, and Yasuo Endoh
  5. Progress of Theoretical Physics Vol. 47 No. 4 (1972) pp. 1140-1155 :
    Fermi Liquid Theory of Linear Antiferromagnetic Chains. II
    Tomoji Yamada
  6. Progress of Theoretical Physics Vol. 48 No. 2 (1972) pp. 697-699 :
    Singularity in Space-Time-Correlation-Function of Linear Antiferromagnetic Heisenberg Chain
    Tomoji Yamada
  7. Progress of Theoretical Physics Vol. 50 No. 4 (1973) pp. 1216-1231 :
    Magnetic Properties of Antiferromagnetic Heisenberg Linear Chain
    Takao Todani and Kazuko Kawasaki
  8. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1519-1536 :
    Low-Temperature Specific Heat of Spin-1/2 Anisotropic Heisenberg Ring
    Minoru Takahashi
  9. Progress of Theoretical Physics Vol. 63 No. 3 (1980) pp. 743-758 :
    Dynamical Correlation Functions of One-Dimensional Anisotropic Heisenberg Model with Spin 1/2. I
    Norikazu Ishimura and Hiroyuki Shiba
  10. Progress of Theoretical Physics Vol. 64 No. 2 (1980) pp. 479-490 :
    Spin Fluctuation Spectrum of One-Dimensional Spin 1/2 Heisenberg Antiferromagnet in an Applied Magnetic Field
    Norikazu Ishimura and Hiroyuki Shiba
  11. Progress of Theoretical Physics Vol. 68 No. 4 (1982) pp. 1122-1130 :
    Excitation Spectra of the Singlet Bound States in the Antiferromagnetic Spin 1/2 Chain
    Katsufumi Hashimoto
  12. Progress of Theoretical Physics Vol. 68 No. 4 (1982) pp. 1394-1397 :
    Excitation Spectra of Bound States with a Pair of Complex Wave Numbers in the Antiferromagnetic Chain
    Katsufumi Hashimoto and Satoru Kuwajima

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