THE MAJUMDAR-GHOSH CHAIN - TWOFOLD GROUND-STATE AND ELEMENTARY EXCITATIONS
THE MAJUMDAR-GHOSH CHAIN - TWOFOLD GROUND-STATE AND ELEMENTARY EXCITATIONS
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DOI：
10.1088/0305-4470/17/13/020
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发表时间：
1984-01-01
期刊：
影响因子：
--
通讯作者：
MAGNUS, W
中科院分区：
文献类型：
--
作者：
CASPERS, WJ;EMMETT, KM;MAGNUS, W
最近证明了哈密顿量为H= 4的Majumdar-Ghosh链，其中Si = 1/2，Si + 2N等于Si，Si = 1/2，且H = 4Sigmaj = 1/2NSj. Sj + 1+ 2Sigmaj = 1/2NSj. Sj + 2，Si + 2N等于Si.在这项工作中，它表明，这两个国家是唯一的基态。此外，给出了一种快速收敛的变分法来确定基元激励。
Recently it was proved that the Majumdar-Ghosh chain with the Hamiltonian H= 4 Sigma j= 1 2N S j. S j+ 1+ 2 Sigma j= 1 2N S j. S j+ 2, S i+ 2N identical to S i, S i= 1/2, has at least two ground states, in which the spins are arranged in nearest-neighbour singlet pairs. In this work it is shown that these two states are the only ground states. Besides, a rapidly converging variational method is given to determine the elementary excitations.