The exact energy spectrum of the Heisenberg Hamiltonian with second neighbors for a linear closed ring of sixteen spins

作者: S. Thanos

DOI: 10.1016/0921-4526(93)90006-R

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摘要: Abstract The exact eigenstates and eigenvalues of a linear ring 16 spins described by Heisenberg Hamiltonian with first- second-neighbor interactions have been calculated. method used is basedon hierarchy algebras. In the present paper ground state density states for various values relative strength interaction are presented. Some interesting features certain parameters appear.

参考文章(16)
W.J. Caspers, W. Magnus, Some exact excited states in a linear antiferromagnetic spin system Physics Letters A. ,vol. 88, pp. 103- 105 ,(1982) , 10.1016/0375-9601(82)90603-X
W.J. Caspers, W. Magnus, Exact ground states for a class of linear quantum spin systems Physica A: Statistical Mechanics and its Applications. ,vol. 119, pp. 291- 294 ,(1983) , 10.1016/0378-4371(83)90160-7
Daniel C. Mattis, C. Y. Pan, Ground-state energy of Heisenberg antiferromagnet for spins s=(1/2 and s=1 in d=1 and 2 dimensions. Physical Review Letters. ,vol. 61, pp. 463- 466 ,(1988) , 10.1103/PHYSREVLETT.61.463
J. Borysowicz, T. A. Kaplan, P. Horsch, Ground state of the one-dimensional antiferromagnetic Heisenberg model Physical Review B. ,vol. 31, pp. 1590- 1599 ,(1985) , 10.1103/PHYSREVB.31.1590
K. Fabricius, K.-H. Mütter, H. Grosse, Hidden symmetries in the one-dimensional antiferromagnetic Heisenberg model. Physical Review B. ,vol. 42, pp. 4656- 4662 ,(1990) , 10.1103/PHYSREVB.42.4656
Wilfried Grieger, Ground state of the isotropic one-dimensional Heisenberg antiferromagnet Physical Review B. ,vol. 30, pp. 344- 347 ,(1984) , 10.1103/PHYSREVB.30.344
Isao Harada, Tetsuji Kimura, Takashi Tonegawa, Thermodynamic Properties of the One-Dimensional Spin-1/2 Heisenberg Antiferromagnet with Competing Interactions Journal of the Physical Society of Japan. ,vol. 57, pp. 2779- 2790 ,(1988) , 10.1143/JPSJ.57.2779
C K Majumdar, Antiferromagnetic model with known ground state Journal of Physics C: Solid State Physics. ,vol. 3, pp. 911- 915 ,(1970) , 10.1088/0022-3719/3/4/019