| Weak Finite—Size Dependence of Velocity and Strong Phase Dependence of Central Charge |
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| 引用本文： | LINZhi－Bin ZHANGJun 等. Weak Finite—Size Dependence of Velocity and Strong Phase Dependence of Central Charge[J]. 理论物理通讯, 2002, 37(3): 367-372 |
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| 作者姓名： | LINZhi－Bin ZHANGJun 等 |
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| 作者单位： | [1]DepartmentofPhysics,PekingUniversity,Beijing100871,China [2]DepartmentofPhysics,XinjiangUniversity,Urumqi830046,China |
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| 摘 要： | We study the finite-size scaling behavior of velocity and central charge for different coupling constants and different phases in (1 1)-dimensional lattice model in very short chains.Using XXZ spin 1/2 chains with 15 or fewer sites,we demonstrate the weak finite-size dependence of spinon velocity for any magnitude of coupling strength Jz and the strong phase dependence of central charge.This behavior of velocity and central charge in different coupling constants and different phases gives a method to determine phase transitions of (1 1)-dimensional models.This method is simple and efficient by utilizing only the ground state energy of very short finite-size chains.It is also general and powerfur for various one-dimensional lattice models and it uncovers eventhe weakest berezinski-Kosterlitz-Thouless phase transitions.
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| 关 键 词： | 物质结构 格子模型 准一维材料结构 相图 相变 |
| 收稿时间： | 2001-06-21 |
Weak Finite-Size Dependence of Velocity and Strong Phase Dependence of Central Charge |
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| LIN ZhiBin,ZHANG Jun,QIN ShaoJin,LEI YiAn. Weak Finite-Size Dependence of Velocity and Strong Phase Dependence of Central Charge[J]. Communications in Theoretical Physics, 2002, 37(3): 367-372 |
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| Authors: | LIN ZhiBin ZHANG Jun QIN ShaoJin LEI YiAn |
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| Affiliation: | 1. Department of Physics, Peking University, Beijing 100871, China;2. Department of Physics, Xinjiang University, Urumqi 830046, China;3. Department of Physics, Kyushu University, Hakozaki, Higashi-ku, Fukuoka 812-8581, Japan;4. Institute of Theoretical Physics, the Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, China |
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| Abstract: | We study the finite-size scaling behavior of velocity and central charge for different coupling constantsand different phases in (1+1)-dimensional lattice model in very short chains. Using XXZ spin 1/2 chains with 15 orfewcr sites, we demonstrate the weak finite-size dependence of spinon velocity for any magnitude of coupling strengthJz and the strong phase dependence of central charge. This behavior of velocity and central charge in different couplingconstants and different phases gives a method to determine phase transitions of (1+1)-dimensional mnodels. This methodis simple and cfficient by utilizing only the ground state energy of very short finite-size chains. It is also general andpowerful for various one-dimensional lattice models and it uncovers even the weakest Berezinsk Kosterlitz-Thoulessphase transitions. |
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| Keywords: | phase diagram one-dimensional model central charge |
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