Engineering Physics Annotation << Back INVESTIGATION OF LOW-DIMENSIONAL SPIN SYSTEMS BY VANGA-LANDAU ALGORITHM M.A. MAGOMEDOV, А.K. MURTAZAEV By the high effi cient Wang-Landau algorithm of the Monte Carlo method studies on hexagonal lattice Ising model taking into account the interaction of fi rst and second nearest neighbors. The density of states and temperature dependences of entropy for these models are calculated. It is shown that the entropy of all systems at high temperatures is equal ln2, and with decreasing temperature tends to zero, except in the case of occurrence of frustrations, where entropy of ground state tends to S0 = 1/3. The low temperature magnetic structures are defi ned. It is shown that the ground state structure are considerable influence the magnitude and sign of the exchange interaction between the second nearest neighbors. It is shown that, depending on the exchange interactions J1 and J2 system may ferromagnetic ordering (J1 = 1 J2 = 0), antiferromagnetic ordering (J1 = –1 J2 = 0), fully frustrated (J1 = 0 J2 = –1), the striped structure (J1 = 1 J2 = –1), as well as dimer structure (J1 = –1 J2 = –1). Key words: Ising model, density of states, entropy, ground state, Wang-Landau algorithm. Contacts: E-mail: magomedov_ma@mail.ru Pp. 049-054.