对拓扑凝聚态物理学基础知识的教学思考REFLECTION ON THE TEACHING OF THE BASIC KNOWLEDGE OF TOPOLOGICAL CONDENSED MATTER PHYSICS
阳成熙,李楠
摘要(Abstract):
随着拓扑学在凝聚态物理学中发挥越来越重要的作用,拓扑凝聚态物理学已逐渐成为一门蓬勃发展的学科,具有深刻的理论基础与广泛的实验应用。本文在教学实践的基础上,对在物理类专业高年级本科课程中开展拓扑凝聚态物理学基础知识的教学进行了探索与总结。首先对微分几何学与拓扑学、量子力学、固体物理学的相关基础知识的讲授作了说明,着重介绍了拓扑不变量、Berry相位等数学与物理学的预备知识;然后以量子Hall效应为例,系统地展现了拓扑凝聚态物理学的主要思想与分析方法,详细说明了整数量子Hall效应中Hall电导的量子化公式;最后对课程内容给出了一些教学建议。
关键词(KeyWords): 拓扑凝聚态物理学;拓扑不变量;量子Hall效应
基金项目(Foundation): 东北大学理学院本科教学经费(02060012301000)
作者(Author): 阳成熙,李楠
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