Paper Titles

Preface and Committees

Phase Transitions in the Antiferromagnetic Heisenberg Model on a Triangular Lattice with the Next-Nearest Neighbor Interactions
p.3

Magnetic Response of Pr_1-xLaCe_xCuO₄ in Comparison with Hole-Doped Cuprates
p.11

Ising Antiferromagnet with Nearest-Neighbor and Next-Nearest-Neighbor Interactions on a Square Lattice
p.17

Fundamental Limitations of Half-Metallicity in Spintronic Materials
p.22

Electronic Structure and Magnetic Properties of Iron Doped TiO₂ (Rutile): XPS Measurements and CPA Calculations
p.28

Statistical and Multifractal Properties of Barkhausen Jumps in Exchange-Coupled Antiferromagnetic/Ferromagnetic Bilayers
p.35

Modulated Nanomagnetics
p.41

Electronic Structure of Nonstoichiometric LaMnO_3-x Calculated in the Coherent Potential Approximation
p.46

HomeSolid State PhenomenaSolid State Phenomena Vol. 215Phase Transitions in the Antiferromagnetic...

Phase Transitions in the Antiferromagnetic Heisenberg Model on a Triangular Lattice with the Next-Nearest Neighbor Interactions

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Abstract:

The critical behavior and phase transitions (PT) of the three-dimensional antiferromagnetic Heisenberg model on a layered triangular lattice with nearest-neighbor (J) and next-to-nearest neighbor (J₁) interactions is studied by the replica Monte Carlo method. The first order phase transition has been revealed in the studied model based on the histogram method of processing data of the Monte Carlo for systems with large linear dimensions. Shown that the system exhibits the pseudouniversal critical behavior in the case of small lattices.

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Solid State Phenomena (Volume 215)

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3-10

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.215.3

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Online since:

April 2014

Authors:

Akai K. Murtazaev, Magomedsheykh K. Ramazanov*

Keywords:

Frustration, Heisenberg Model, Monte Carlo Method, Phase Transition

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] S. S. Sosin, L. A. Prozorova, and A. I. Smirnov, Phys. Usp. 48 (2005) 83.

[2] V. S. Dotsenko, Phys. Usp. 38 (1995) 457.

[3] S. E. Korshunov, Phys. Usp. 49 (2006) 225.

[4] S. V. Maleev, Phys. Usp. 45 (2002) 569.

[5] L. E. Svistov, A. I. Smirnov, L. A. Prozorova, et al., JETP Lett. 80 (2004) 204.

[6] H. Kawamura, J. Phys. Soc. Jpn. 56 (1987) 474.

[7] H. Kawamura, J. Phys. Soc. Jpn. 61 (1992) 1299.

[8] M. Tisser, B. Delamotte, and D. Mouhanna, Phys. Rev. Lett. 84 (2000) 5208.

[9] P. Calabrese, P. Parruccini, A. Pelissetto, and E. Vicari, Phys. Rev. B 70 (2004) 174439-1.

[10] A. Mailhot, M. L. Plumer, and A. Caille, Phys. Rev. B 50 (1994) 6854.

[11] A. Peles and B. W. Southern, Phys. Rev. B 67 (2003) 184407.

[12] A. K. Murtazaev, M. K. Ramazanov, and M. K. Badiev, Phys. Solid State 52 (2010) 1673.

[13] A. K. Murtazaev and M. K. Ramazanov, Phys. Solid State 53 (2011) 1067.

[14] D. Loison, A. I. Sokolov, B. Delamott, et al., JETP Lett. 72 (2000) 337.

[15] E. H. Boubcheur, D. Loison, and H. T. Diep, Phys. Rev. B 54 (1996) 4165.

[16] A. Dobry and H. T. Diep, Phys. Rev. B 51 (1995) 6731.

[17] D. Loison and H. T. Diep, J. Appl. Phys. 76 (1994) 6350.

[18] S. A. Antonenko, A. I. Sokolov, and V. B. Varnashev, Phys. Lett. A 208 (1995) 161.

[19] A. Peles, B. W. Southern, B. Delamotte, et al., Phys. Rev. B 69 (2004) 220408.

[20] M. Itakura, J. Phys. Soc. Jpn. 72 (2003) 74.

[21] A. K. Murtazaev, M. K. Ramazanov, and M. K. Badiev, JETP 105 (2007) 1011.

[22] A. K. Murtazaev, I. K. Kamilov, and M. K. Ramazanov, Low Temp. Phys. 32 (2006) 241.

[23] A. K. Murtazaev, I. K. Kamilov, and M. K. Ramazanov, Phys. Solid State 47 (2005) 1163.

[24] A. Mitsutake, Y. Sugita, and Y. Okamoto, Biopolymers (Peptide Sci. ) 60 (2001) 96.

[25] A. K. Murtazaev, M. K. Ramazanov, and M. K. Badiev, Low Temp. Phys. 35 (2009) 521.

[26] A. K. Murtazaev and M. K. Ramazanov, Phys. Rev. B 76 (2007) 174421.

[27] F. Wang and D. P. Landau, Phys. Rev. Lett. 86 (2001) (2050).

[28] F. Wang and D. P. Landau, Phys. Rev. E 64 (2001) 056101.

[29] M. K. Ramazanov, JETP Lett. 94 (2011) 311.

[30] V. Thanh Ngo and H. T. Diep, Phys. Rev. E 78 (2008) 031119.

[31] A. K. Murtazaev, Phys. Usp. 51 (2008) 965.

[32] K. Binder and J. -Sh. Wang, J. Stat. Phys. 55 (1989) 87.

[33] P. Peczak, A. M. Ferrenberg, and D. P. Landau, Phys. Rev. B 43 (1991) 6087.

[34] A. O. Sorokin and A. V. Syromyatnikov, JETP 112 (2011) 1004.

[35] K. Binder and D. W. Heermann, Monte Carlo Simulation in Statistical Physics (Springer, Berlin, 1988; Nauka, Moscow, 1995).