Thermodynamic properties of Heisenberg model for magnetic ordered graphene sheet |
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| Affiliation: | 1. A.I. Alikhanyan National Science Laboratory, 0036 Yerevan, Armenia;2. Departamento de Ciencias Exatas, Universidade Federal de Lavras, CP 3037, 37200-000 Lavras-MG, Brazil;3. Dipartimento di Scienza e Alta Tecnologia, Universitá degli Studi dell’Insubria, Via Valleggio 11, 22100 Como, Italy;4. I.N.F.N. Sezione di Milano, Via Celoria 16, 20133 Milano, Italy;5. Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR CNRS 6303, Université de Bourgogne, 21078 Dijon Cedex, France;6. Institute for Physical Research, 0203 Ashtarak-2, Armenia;1. Departamento de Física, Universidade Federal de Roraima, BR 174, Km 12, Bairro Monte Cristo, CEP: 69300-000 Boa Vista/RR, Brazil;2. Universidade Federal do Amazonas, Departamento de Física, 3000, Japiim, 69077-000 Manaus-AM, Brazil;3. National Institute of Science and Technology for Complex Systems, 3000, Japiim, 69077-000 Manaus-AM, Brazil;1. Department of Physics, University of Shanghai for Science and Technology, 516 Jun Gong Road, Shanghai 200093, PR China;2. Department of Physics, Hangzhou Normal University, Hangzhou 310018, PR China;1. Departamento de Física, Universidade Federal de Roraima, BR 174, Km 12. Bairro Monte Cristo. CEP: 69300-000 Boa Vista, Roraima, Brazil;2. Universidade Federal do Amazonas, Departamento de Física, 3000, Japiim, 69077-000, Manaus-AM, Brazil;3. National Institute of Science and Technology for Complex Systems, 3000, Japiim, 69077-000, Manaus-AM, Brazil;4. Department of Physics, Dokuz Eylül University, Tr-35160 Izmir, Turkey |
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| Abstract: | We study the thermodynamic properties of two dimensional Heisenberg antiferromagnet on the honeycomb lattice in the presence of anisotropic Dzyaloshinskii-Moriya interaction and next nearest neighbor coupling exchange constant. A sublattice antiferromagnetic long range ordering has been considered for localized electrons on honeycomb lattice structure. In particular, the temperature dependence of specific heat has been investigated for various physical parameters in the model Hamiltonian. Using Holstein-Primakoff bosonic transformations, the behavior of thermodynamic properties has been studied by means of excitation spectrum of mapped bosonic gas. Furthermore we have studied the dependence of specific heat and magnetization on Dzyaloshinskii-Moriya interaction strength for various next nearest neighbor interaction strengths. At low temperatures, the specific heat is found to be monotonically increasing with temperature. We have found the dependence of specific heat on Dzyaloshinskii-Moriya interaction strength shows a monotonic increasing behavior for various next nearest neighbor exchange constants. Also we have studied the temperature dependence of staggered magnetization for different next nearest neighbor coupling constants. Our results show the critical temperature moves to higher amounts with reduction of Dzyaloshinskii-Moriya interaction strength. |
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