---

Prog. Theor. Phys. Vol. 11 No. 1 (1954) pp. 53-62

On the Spontaneous Magnetizations of Honeycomb and Kagomé Ising Lattices

Shigeo Naya

Department of Physics, Osaka University

(Received November 7, 1953)

Abstract:

The spontaneous magnetizations for the honeycomb and kagomé lattice are obtained by transforming Potts' results for the triangular lattice. Potts' relations are discussed.

URL : http://ptp.ipap.jp/link?PTP/11/53/
DOI : 10.1143/PTP.11.53

[ Full Text PDF : FREE ACCESS (688K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. L. Onsager, Phys. Rev. 65 (1944), 117[APS].
   B. Kaufman, Phys. Rev. 76 (1949), 1232[APS].
   Y. Nambu, Prog. Theor. Phys. 5 (1950), 1[PTP].
   K. Husimi and I. Syozi, Prog. Theor. Phys. 5 (1950), 117[PTP]; ibid. 5 (1950), 341[PTP].
   H. N. V. Temperley, Proc. R. Soc. A 202 (1950), 202.
   R. M. F. Houtappel, Physica 16 (1950), 425[CrossRef].
   G. H. Wannier, Phys. Rev. 79 (1950), 357[APS].
   G. F. Newell, Phys. Rev. 79 (1950), 877[APS].
2. C. N. Yang, Phys. Rev. 85 (1952), 808[APS].
3. R. B. Potts, Phys. Rev. 88 (1952), 392[APS].
4. Although the rigorous series expansion at low temperature for the kagomé lattice has not yet been obtained, we have checked directly by performing the rigorous series expansion for the honeycomb and kagomé lattice by the method of Oguchi (J. Phys. Soc. Jpn. 6 (1951)).
5. for example, Quantum statistical mechanics, by K. Husimi (in Japanese).
6. I. Syozi, Busseiron Kenkyu 40 (1951) (in Japanese).
   K. Kano and S. Naya, Busseiron Kenkyu 40 (1951) (in Japanese).

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 13 No. 1 (1955) pp. 69-78 :

   Statistical Models of Ferrimagnetism

   Itiro Syozi and Huzio Nakano

2. Progress of Theoretical Physics Vol. 23 No. 2 (1960) pp. 374-376 :

   Spontaneous Magnetization, A Generalized Square Lattice

   Itiro Syozi and Shigeo Naya

3. Progress of Theoretical Physics Vol. 24 No. 4 (1960) pp. 829-839 :

   Symmetrical Properties of Two-Dimensional Ising Lattices

   Itiro Syozi and Shigeo Naya

4. Progress of Theoretical Physics Vol. 40 No. 5 (1968) pp. 958-974 :

   Magnetic and Thermal Properties of an Antiferromagnetic Decorated Ising Lattice in Finite Magnetic Fields

   Masumi Hattori and Huzio Nakano

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.