二维玻色系统超流密度的重整化群研究

北京大学学报（自然科学版）

二维玻色系统超流密度的重整化群研究

何培松, 吴成真, 陈宇, 田光善

北京大学物理学院, 北京 100871;

收稿日期:2010-07-31 出版日期:2011-05-20 发布日期:2011-05-20

Renormalization Group Study of Superfluid Density in Two-Dimensional Boson System

HE Peisong, OH Sungjin, CHEN Yu, TIAN Guangshan

School of Physics, Peking University, Beijing 100871;

Received:2010-07-31 Online:2011-05-20 Published:2011-05-20

摘要/Abstract

摘要： 利用Holzmann-Baym超流密度公式以及准确到一圈图的重整化群方法,计算了零温下二维弱相互作用玻色体系的超流密度和超流刚度。计算表明,当高能涨落的贡献占主导地位时,超流密度与超流刚度对化学势的依赖关系会呈现标度行为, 与前人的研究结果相一致。

关键词: 二维玻色子体系, 超流密度和刚度, 重整化群方法

Abstract: Superfluid density and stiffness of two-dimensional weakly interacting Boson system at zero temperature are calculated by one-loop renormalization group method using Holzmann-Baym formula. The result shows that when the contributions of high energy fluctuations dominate, both superfluid density and superfluid stiffness exhibit scaling behavior with respect to chemical potential. This result is qualitatively consistent with other researchers’result.

Key words: two-dimensional Boson system, superfluid density and stiffness, renormalization group

中图分类号:

O512

何培松, 吴成真, 陈宇, 田光善. 二维玻色系统超流密度的重整化群研究[J]. 北京大学学报（自然科学版）.

HE Peisong,OH Sungjin,CHEN Yu,TIAN Guangshan. Renormalization Group Study of Superfluid Density in Two-Dimensional Boson System[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.