The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field

• Datum: 2014
• Hauptverfasser: Ziya Merdan, Cihan Kürkçü, Mustafa K. Öztürk
• Format: Artikel
• Sprache: English
• Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2014
• Schriftenreihe: Физика низких температур
• Schlagworte: Низкотемпеpатуpный магнетизм
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/119694
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: The finite-size scaling study of four-dimensional Ising model in the presence of external magnetic field / Ziya Merdan, Cihan Kürkçü, Mustafa K. Öztürk // Физика низких температур. — 2014. — Т. 40, № 12. — С. 1360-1365. — Бібліогр.: 31 назв. — англ.

The four-dimensional ferromagnetic Ising model in external magnetic field is simulated on the Creutz cellular automaton algorithm using finite-size lattices with linear dimension 4 ≤ L ≤ 8. The critical temperature value of infinite lattice, Tc χ (∞) = 6.680(1) obtained for h = 0 agrees well with the values Tc(∞) ≈ 6.68 obtained previously using different methods. Moreover, h = 0.00025 in our work also agrees with all the results obtained from h = 0 in the literature. However, there are no works for h ≠ 0 in the literature. The value of the field critical exponent (δ = 3.0136(3)) is in good agreement with δ = 3 which is obtained from scaling law of Widom. In spite of the finitesize scaling relations of |ML(t)| and χ L(t) for 0 ≤ h ≤ 0.001 are verified; however, in the cases of 0.0025 ≤ h ≤ 0.1 they are not verified.