isotropic heisenberg model

isotropic heisenberg model

<< /D (section*.11) /S /GoTo >> << /D (section*.3) /S /GoTo >> (3 Short-time wavepacket pinch) << /D (section*.18) /S /GoTo >> 20 0 obj 49 0 obj << /D (section*.16) /S /GoTo >> Information about registration may be found here. << /D (section*.15) /S /GoTo >> endstream The isotropic Heisenberg model is a magnetic model in which interaction energy of spins s1 and s2 on the neighboring sites of the lattice is equal to Js1 •s2. << /D (section*.17) /S /GoTo >> endobj ʸ����1iJp ��(�Iw)3��u�f���W��ſ��C;�����Rʁs�{�����m�[#:Lw}^`Fo��k�1� g���Ǹ=��ߗhF9kןj�}�٭�-�]��!���=i�c�]l��T��P�!��G-���Gk�ΑL�����Q�mV� endobj endobj endobj (1 Preparation of initial states) 13 0 obj (A Ground state energy, the gap, and the temperature) Equally valued magnetization curves of the isotropic Heisenberg model in a (kBT / J − r1) plane with the film thickness values (a) L = 3 and (b) L = 10 and r2 = 1.0. endobj <>stream 41 0 obj endobj (I Introduction) ISSN 1536-6065 (online). endobj The results are compared briefly with those for Ising and Heisenberg chains of spin 1 2. << /D (section*.14) /S /GoTo >> The phase transition at a finite temperature has been excluded. The values of the magnetizations have been underlined near the related curve. This equation is called the continuous classical Heisenberg ferromagnet equation or shortly Heisenberg model and is integrable in the sense of soliton theory. 33 0 obj (III Transport properties) In this model the spin vectors interact via a Heisenberg coupling but each spin vector is restricted to lie in a plane. endobj (4 Magnetization offset B0) Exact results in one dimension are also obtained for the partition function and susceptibility of a "planar" classical Heisenberg model. << /D (section*.12) /S /GoTo >> 36 0 obj (A Model) 56 0 obj 48 0 obj endobj ]=�vC�����{�`��w؎Ͱ�m��&N�d�C����$���O~��"�dl~��e��a�$wq��Rx����S��v֩j�������4 ���05��_"�p�6 %���� endobj n���ܳ���xpڃ�\�'9�|�~ ��Sg�g�5� ��.&*Ů�W��x���~��3�q��q��qj��qj��q&>���� Q��z=3�.U\L��w���&ء�jj莪��V�6h�H�Ӭ��̈��kZ�yOs�K��%f+;�if�+�6��#��+�!B�+D\��1f���V�����h���Q�dM���������]K���f�)�3���MAm��؁���^k^�o�Y+DTI� �Ħy_�[��Jl:��t��9���K&��r����u��dh%n�o���į~3�B�#�+�c:���ኑ����Y�m��B�n��D+8Za�C+���R��W {�+{O:��m�Ƶ����c3�1�kЦ�i�k��Q�g� << /D (section*.5) /S /GoTo >> endobj 72 0 obj Log … (II Model and methods) x�}V]S�0�g��{���X�d����:��/LbJ������=9��l�'�,�j��N�,��"0gy��u�#}+�Q�`�p%�U$a_MyPO�ι �!���]�Z�Q8�q���L� c� << /D (section*.13) /S /GoTo >> endobj endobj endobj (IV Domain wall dynamics) endobj %� A perturbation series for the zero-field free energy of the anisotropic model in one dimension with nearest-neighbor interactions Jijx=Jijy=J and Jijz=γJ is developed in powers of γ−1 using the isotropic model as the unperturbed system. Physical Review™, Physical Review Letters™, Physical Review X™, Reviews of Modern Physics™, Physical Review A™, Physical Review B™, Physical Review C™, Physical Review D™, Physical Review E™, Physical Review Applied™, Physical Review Fluids™, Physical Review Accelerators and Beams™, Physical Review Physics Education Research™, APS Physics logo, and Physics logo are trademarks of the American Physical Society. 29 0 obj 40 0 obj 12 0 obj endobj �4�5^�������1��%� v�K��E�b���xYF~�qv�R�\�a�"�4|��d��8�+hWY�� q�wUD�����k�����ݹ��� 1��@rp"��ÙC(�G�o�O�����������j+�w]�t�\[W+;6Q��w�,� �̟?��w�0��y�0CF���. );���[_U�"%�&n� 5 0 obj ( Acknowledgments) endobj 61 0 obj endobj 25 0 obj 69 0 obj endobj A high-temperature series expansion for the anisotropic model, which is valid for a general interaction potential and lattice, is derived by generalizing the methods developed by Horwitz and Callen for the Ising model. Chapter; Aa; Aa; Get access. endobj DOI:https://doi.org/10.1103/PhysRev.155.478, To celebrate 50 years of enduring discoveries, APS is offering 50% off APCs for any manuscript submitted in 2020, published in any of its hybrid journals: PRL, PRA, PRB, PRC, PRD, PRE, PRApplied, PRFluids, and PRMaterials. ( References) endobj Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and (B Localized packets) 32 0 obj u�� Gw���"����Wzk�;c�2M�݇ǻ< m����,�������m�֣ێ�����&p}5�{G�< Nաuc�����W� ]�~Z��mG׵n��O�6[��jc�Fڪ�fj7��S���χ�ݙ" 45 0 obj endobj Thermodynamics of One-Dimensional Solvable Models. endobj It is observed that the free-energy, susceptibility, and correlation functions for a linear chain of N spins with nearest-neighbor isotropic Heisenberg coupling can be calculated explicitly in the (classical) limit of infinite spin.

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