Phase diagram and exotic spin-spin correlations of anisotropic Ising model on the Sierpiński gasket
详细信息 查看全文
- 作者：Meng Wang ; Shi-Ju Ran ; Tao Liu ; Yang Zhao…
- 关键词：Statistical and Nonlinear Physics
- 刊名：The European Physical Journal B - Condensed Matter
- 出版年：2016
- 出版时间：February 2016
- 年：2016
- 卷：89
- 期：2
- 全文大小：808 KB
- 参考文献：1. F.Y. Wu, Rev. Mod. Phys. 54, 235 (1982)ADS CrossRef
2. R. Moessner, A.R. Ramirez, Phys. Today 59, 24 (2006)CrossRef
3. R. Shrock, S.H. Tsai, Phys. Rev. E 56, 4111 (1997) ADS CrossRef
4. P. Azaria, H.T. Diep, H. Giacomini, Phys. Rev. Lett. 59, 1629 (1987) ADS MathSciNet CrossRef
5. W. Li, S.S. Gong, Y. Zhao, S.J. Ran, S. Gao, G. Su, Phys. Rev. B 82, 134434 (2010) ADS CrossRef
6. Q.N. Chen, M.P. Qin, J. Chen, Z.C. Wei, H.H. Zhao, B. Normand, T. Xiang, Phys. Rev. Lett. 107, 165701 (2011) ADS CrossRef
7. Y. Zhao, W. Li, B. Xi, Z. Zhang, X. Yan, S.J. Ran, T. Liu, G. Su, Phys. Rev. E 87, 032151 (2013) ADS CrossRef
8. Y. Gefen, B.B. Mandelbrot, A. Aharony, Phys. Rev. Lett. 45, 855 (1980)ADS MathSciNet CrossRef
9. Y. Gefen, A. Aharony, B.B. Mandelbrot, S. Kirkpatrick, Phys. Rev. Lett. 47, 1771 (1981) ADS MathSciNet CrossRef
10. Y. Gefen, A. Aharony, Y. Shapir, B.B. Mandelbrot, J. Phys. A 17, 435 (1984)ADS MathSciNet CrossRef
11. S.H. Liu, Phys. Rev. B 32, 5804 (1985) ADS CrossRef
12. T. Stošić, B. Stošić, S. Milošević, H.E. Stanley, Phys. Rev. E 49, 1009 (1994) ADS CrossRef
13. B. Kutnjak-Urbanc, S. Zapperi, S. Milošević, H.E. Stanley, Phys. Rev. E 54, 272 (1996)ADS CrossRef
14. A. Voigt, W. Wenzel, J. Richter, P. Tomczak, Eur. Phys. J. B 38, 49 (2004)ADS CrossRef
15. S.C. Chang, R. Shrock, Phys. Lett. A 377, 671 (2013) ADS MathSciNet CrossRef
16. L. Tian, H. Ma, W.A. Guo, L.H. Tang, Eur. Phys. J. B 86, 197 (2013)ADS MathSciNet CrossRef
17. M. Gonzalez, F. Cervantes-Lee, L.W. ter Haar, Mol. Cryst. Liq. Cryst. 233, 317 (1993)CrossRef
18. S. Maruti, L.W. ter Haar, J. Appl. Phys. 75, 5949 (1994)ADS CrossRef
19. S. Ateca, S. Maruti, L.W. ter Haar, J. Magn. Magn. Mater. 147, 398 (1995)ADS CrossRef
20. M. Mekata, M. Abdulla, T. Asano, H. Kikuchi, T. Goto, T. Morishita, H. Hori, J. Magn. Magn. Mater. 177-181, 731 (1998) ADS CrossRef
21. S. Okubo, M. Hayashi, S. Kimura, H. Ohta, M. Motokawa, H. Kikuchi, H. Nagasawa, Physica B 246-247, 553 (1998) ADS CrossRef
22. M. Mekata, M. Abdulla, M. Kubota, Y. Oohara, Can. J. Phys. 79, 1409 (2001) ADS
23. J. Strečka, L. Čanová, M. Jaščur, M. Hagiwara, Phys. Rev. B 78, 024427 (2008) ADS CrossRef
24. D.X. Yao, Y.L. Loh, E.W. Carlson, M. Ma, Phys. Rev. B 78, 024428 (2008) ADS CrossRef
25. J. Strečka, L. Čanová, J. Phys.: Conf. Ser. 145, 012012 (2009) ADS
26. J. Strečka, J. Magn. Magn. Mater. 316, e346 (2007) CrossRef
27. M. Isoda, H. Nakano, T. Sakai, J. Phys.: Conf. Ser. 320, 012010 (2011) ADS
28. M. Isoda, H. Nakano, T. Sakai, J. Phys. Soc. Jpn 81, 053703 (2012) ADS CrossRef
29. Y.-H. Chen, H.-S. Tao, D.-X. Yao, W.-M. Liu, Phys. Rev. Lett. 108, 246402 (2012) ADS CrossRef
30. J. Čisárová, J. Strečka, Phys. Rev. B 87, 024421 (2013) CrossRef
31. J. Čisáá, F. Michaud, F. Mila, J. Strečka, Phys. Rev. B 87, 054419 (2013) ADS CrossRef
32. J. Strečka, C. Ekiz, Phys. Rev. E 91, 052143 (2015) ADS CrossRef
33. R.B. Griffiths et al., Phase Transitions and Critical Phenomena (Academic Press, New York, 1972)
34. T. Stošić, B. Stošić, S. Milošević, H.E. Stanley, Phys. Rev. A 37, 1747 (1988) ADS MathSciNet CrossRef
35. M. Levin, C.P. Nave, Phys. Rev. Lett. 99, 120601 (2007) ADS CrossRef
36. H. Moraal, in Classical, Discrete Spin Models: Symmetry, Duality and Renormalization (Springer-Verlag, Berlin Heidelberg, 1984), p. 208
37. M. Suzuki, M. Inoue, Prog. Theor. Phys. 78, 787 (1987)ADS MathSciNet CrossRef
38. M. Inoue, M. Suzuki, Prog. Theor. Phys. 79, 645 (1988)ADS MathSciNet CrossRef
39. S.J. Ran, W. Li, B. Xi, Z. Zhang, G. Su, Phys. Rev. B 86, 134429 (2012) ADS CrossRef
40. G. Vidal, Phys. Rev. Lett. 91, 147902 (2003) ADS CrossRef
41. G. Vidal, Phys. Rev. Lett. 98, 070201 (2007) ADS MathSciNet CrossRef - 作者单位：Meng Wang (1)
Shi-Ju Ran (1)
Tao Liu (1)
Yang Zhao (2)
Qing-Rong Zheng (1)
Gang Su (1)
1. Theoretical Condensed Matter Physics and Computational Materials Physics Laboratory, School of Physics, University of Chinese Academy of Sciences, P.O. Box 4588, Beijing, 100049, P.R. China
2. Department of Physics and Astronomy, University of Manitoba, Winnipeg, R3T 2N2, Canada - 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Condensed Matter
Physics
Complexity
Fluids
Solid State Physics and Spectroscopy
Superconductivity, Superfluidity and Quantum Fluids - 出版者：Springer Berlin / Heidelberg
- ISSN：1434-6036
文摘
The anisotropic antiferromagnetic Ising model on the fractal Sierpiński gasket is intensively studied, and a number of exotic properties are disclosed. The ground state phase diagram in the plane of magnetic field-interaction of the system is obtained. The thermodynamic properties of the three plateau phases are probed by exploring the temperature-dependence of magnetization, specific heat, susceptibility and spin-spin correlations. No phase transitions are observed in this model. In the absence of a magnetic field, the unusual temperature dependence of the spin correlation length is obtained with 0 ≤ J b /J a < 1, and an interesting crossover behavior between different phases at J b /J a = 1 is unveiled, whose dynamics can be described by the J b /J a -dependence of the specific heat, susceptibility and spin correlation functions. The exotic spin-spin correlation patterns that share the same special rotational symmetry as that of the Sierpiński gasket are obtained in both the 1 / 3 plateau disordered phase and the 5/9 plateau partially ordered ferrimagnetic phase. Moreover, a quantum scheme is formulated to study the thermodynamics of the fractal Sierpiński gasket with Heisenberg interactions. We find that the unusual temperature dependence of the correlation length remains intact in a small quantum fluctuation. Keywords Statistical and Nonlinear Physics