Quantum spins and quasiperiodicity: a real space renormalization group approach.
Quantum spins and quasiperiodicity: a real space renormalization group approach.
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量子自旋和准周期性：实空间重整化群方法。
DOI：
10.1103/physrevlett.92.047202
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发表时间：
2003
影响因子：
8.6
通讯作者：
A. Jagannathan
中科院分区：
文献类型：
--
作者：
A. Jagannathan
本文研究了二维二部准周期结构上的反铁磁自旋-1/2 Heisenberg模型、八角形平铺、周期系统的方晶格的非周期等价。给出了一种近似的块自旋重整化方案。计算了该系统的基态能量和局部交错磁化强度，并与最近的量子蒙特卡罗计算结果进行了比较。推测其基态能量与方晶格上的量子反铁磁体的能量完全相等。
We study the antiferromagnetic spin-1/2 Heisenberg model on a two-dimensional bipartite quasiperiodic structure, the octagonal tiling, the aperiodic equivalent of the square lattice for periodic systems. An approximate block spin renormalization scheme is described for this problem. The ground state energy and local staggered magnetizations for this system are calculated and compared with the results of a recent quantum Monte Carlo calculation for the tiling. It is conjectured that the ground state energy is exactly equal to that of the quantum antiferromagnet on the square lattice.