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Chin. Phys. B, 2013, Vol. 22(6): 067502    DOI: 10.1088/1674-1056/22/6/067502
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

Spin-correlation function of the fully frustrated Ising model and ± J Ising spin glass on the square lattice

M Y Ali, J Poulter
Department of Mathematics, Faculty of Science, Mahidol University, Rama 6 Road, Bangkok 10400, Thailand
Abstract  In this work we study the correlation function of the ground state of two-dimensional fully frustrated Ising model as well as spin glass. The Pfaffian method is used to calculate free energy and entropy as well as correlation function. We estimate the exponent of spin correlation function for fully frustrated model and spin glass. In this paper an overview of the latest results on the spin correlation function is presented.
Keywords:  spin glass      correlation function      exponent      square lattice  
Received:  26 September 2012      Revised:  14 November 2012      Accepted manuscript online: 
PACS:  75.50.Bb (Fe and its alloys)  
  75.10.Nr (Spin-glass and other random models)  
  71.45.Gm (Exchange, correlation, dielectric and magnetic response functions, plasmons)  
Fund: Project supported by the Department of Mathematics, Faculty of Science, Mahidol University, Thailand.
Corresponding Authors:  M Y Ali     E-mail:  ali69cuet@gmail.com

Cite this article: 

M Y Ali, J Poulter Spin-correlation function of the fully frustrated Ising model and ± J Ising spin glass on the square lattice 2013 Chin. Phys. B 22 067502

[1] Kawashima N and Rieger H 1997 Europhys. Lett. 39 85
[2] Kitatani H and Sinada A 2000 J. Phys. A: Math. Gen. 33 3547
[3] Hartmann A K and Young A P 2001 Phys. Rev. B 64 180404
[4] Houdayer J 2001 Euro. Phys. J. B 22 479
[5] Sungthong R and Poulter J 2003 J. Phys. A: Math. Gen. 36 6347
[6] Katzgraber H G and Lee L W 2005 Phys. Rev. B 71 134404
[7] Kirkpatrick S 1977 Phy. Rev. B 16 4630
[8] Morgensterm I and Binder K 1980 Phys. Rev B 22 288
[9] Ozeki Y and Nishimori H 1987 J. Phys. Soc. Jpn. 56 3265
[10] Kitatani H and Oguchi T 1990 J. Phys. Soc. Jpn. 59 3823
[11] Ueno Y and Ozeki Y 1991 J. Stat. Phys. 64 227
[12] Blackman J A et al. 1998 Phys. Rev. E 58 1502
[13] Aarao Reis F D A et al. 1999 Phys. Rev. B 60 6740
[14] Honecker A, Picco M and Pujol P 2001 Phys. Rev. Lett. 87 047201
[15] Nobre F D 2001 Phys. Rev. B 64 046108
[16] Merz F and Chalker J T 2002 Phys. Rev. B 65 054425
[17] Nishimori H and Nemoto K 2002 J. Phys. Soc. Jpn. 71 1198
[18] Amoruso C and Hartmann A K 2004 Phys. Rev. B 70 134425
[19] Blackman J A 1982 Phys. Rev. B 26 4987
[20] Blackman J A and Poulter J 1991 Phys. Rev. B 44 4374
[21] Poulter J and Blackman J A 2001 J. Phys. A: Math. Gen. 34 7527
[22] Villain J 1977 J. Phys. C: Solid State Phys. 10 1717
[23] Green H S and Hurst C A 1964 Order-Disorder Phenomena (London: Inter-Science)
[24] Forgacs G 1980 Phs. Rev. B 22 4473
[25] Poulter J and Blackman J A 2005 Phys. Rev. B 72 104422
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