Non Self-conjugate Strings, Singular Strings and Rigged Configurations in the Heisenberg Model
Non Self-conjugate Strings, Singular Strings and Rigged Configurations in the Heisenberg Model
复制标题
海森堡模型中的非自共轭弦、奇异弦和索具配置
DOI：
10.1088/1742-5468/2015/02/p02004
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Tetsuo Deguchi and Pulak Ranjan Giri
中科院分区：
文献类型：
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作者：
Ivan Borzenets;Yuya Shimazaki;Gareth Jones;Saverio Russo;Michihisa Yamamoto;Seigo Tarucha;Anton Ayzenberg;Suraphong Yuma;Birgit Tremml-Werner;Tetsuo Deguchi and Pulak Ranjan Giri
从N=12开始，我们在各向同性自旋-1/2海森堡链中观察到了一种不同类型的复数解，其中一些奇数长度弦的中心快度变得复杂，因此不是所有的弦都单独自共轭。证明了当M=4，M=5个下自旋时，奇异解最多为(N−2)/2个；当M=6，M=7个下自旋为N−2M时，奇异解最多为(N 2⩾6N+8)/8个。文中还给出了非自共轭弦解和奇异弦解与操纵构型的对应关系。
We observe a different type of complex solutions in the isotropic spin-1/2 Heisenberg chain starting from N= 12, where the central rapidity of some of the odd-length strings becomes complex so that not all the strings self-conjugate individually. We show that there are at most (N− 2)/2 singular solutions for M= 4, M= 5 down-spins and at most (N 2− 6N+ 8)/8 singular solutions for M= 6, M= 7 down-spins in an even-length chain with N⩾ 2M. Correspondence of the non self-conjugate string solutions and the singular string solutions to the rigged configurations has also been shown.