One-dimensional Hubbard model in a magnetic field and the multicomponent Tomonaga-Luttinger model.
One-dimensional Hubbard model in a magnetic field and the multicomponent Tomonaga-Luttinger model.
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磁场中的一维 Hubbard 模型和多分量 Tomonaga-Luttinger 模型。
DOI：
10.1103/physrevb.47.6273
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
J. Sólyom
中科院分区：
文献类型：
--
作者：
K. Penc;J. Sólyom
磁场中的一维Hubbard模型在重整化群变换下等价于多分量Tomonaga-Luttinger模型。通过对相关函数指数的比较，得到了任意磁场h和带填充n时，Hubbard模型的库仑斥力U与Tomonaga-Luttinger模型耦合之间的映射关系。这些量是为Hubbard模型计算的，从有限大小的修正到激发能，因为保形不变性的假设将它们与临界指数联系起来。另一方面，通过求解由广义Ward恒等式导出的精确运动方程来确定多分量Tomonaga-Luttinger模型的相关函数。
The one-dimensional Hubbard model in a magnetic field is equivalent under renormalization-group transformation to a multicomponent Tomonaga-Luttinger model. The mapping between the Coulomb repulsion U of the Hubbard model and the couplings of the Tomonaga-Luttinger model is obtained for aribitrary magnetic field h and band filling n from a comparison of the correlation function exponents. These quantities are calculated for the Hubbard model from the finite-size corrections to the excitation energies, since the assumption of conformal invariance relates them to the critical exponents. On the other hand, the correlation functions of the multicomponent Tomonaga-Luttinger model are determined by solving the exact equation of motion derived by the use of generalized Ward identities.