Conformal field theory in the Tomonaga-Luttinger model with the 1/rβ long-range interaction

被引：14
|
作者：
Inoue, H [1 ]
Nomura, K [1 ]
机构：
[1] Kyushu Univ, Dept Phys, Higashi Ku, Fukuoka 8128581, Japan
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 09期
关键词：
D O I：
10.1088/0305-4470/39/9/012
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We attempt to construct U(1) conformal field theory (CFT) in the Tomonaga-Luttinger (TL) liquid with the 1/r(beta) long-range interaction (LRI). Treating the long-range forward scattering as a perturbation and applying CFT to it, we derive finite size scalings which depend on the power of the LRI. The obtained finite size scalings give nontrivial behaviours when beta is odd and is close to 2. We find consistency between the analytical arguments and numerical results in the finite size scaling of energy.
引用
收藏
页码：2161 / 2175
页数：15
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