Ground state of the two-dimensional antiferromagnetic Heisenberg model studied using an extended Wigner-Jordon transformation.
Ground state of the two-dimensional antiferromagnetic Heisenberg model studied using an extended Wigner-Jordon transformation.
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使用扩展的维格纳-乔登变换研究了二维反铁磁海森堡模型的基态。
DOI：
10.1103/physrevb.43.3786
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发表时间：
1991
期刊：
影响因子：
--
通讯作者：
Wang
中科院分区：
文献类型：
--
作者：
Wang
发现了一个二维（2D） Wigner-Jordon变换，将自旋变量映射为无自旋费米子变量，并用于研究二维自旋1/2反铁磁海森堡模型。这种变换在海森堡模型的XY分量中产生了一个虚构的规范场，因此在Ising分量中产生了一个同相轨道电流，该电流流经底层晶格的每个基本板。在二维方形晶格中，海森堡模型的基态是同相的N 'eel磁通相，即磁通相与同相轨道电流和长距离反铁磁自旋序共存。同相氮流态的零温度平均场能量${\mathit{E}}_{0}$=-0.33J /键，仅比最佳估计的基态能量-0.334J /键高1%。
A two-dimensional (2D) Wigner-Jordon transformation which maps spin variables into spinless fermion variables is found and is used to study the 2D spin-1/2 antiferromagnetic Heisenberg model. The transformation generates a fictitious gauge field in the XY component of the Heisenberg model, and hence induces an in-phase orbital current in the Ising component flowing around each elementary plaquette of the underlying lattice. The ground state of the Heisenberg model in a 2D square lattice is found to be an in-phase N\'eel flux phase, i.e., a coexisting state of the flux phase with in-phase orbital currents and a long-range antiferromagnetic spin order. The zero-temperature mean-field energy of the in-phase N\'eel flux state, ${\mathit{E}}_{0}$=-0.33J per bond, is only 1% higher than the best-estimated ground-state energy, -0.334J per bond.