摘要
In this pedagogically oriented review,we discuss the concept of Berry phase in quantum physics,paying particular attention to their manifestation in Bloch electrons.We have discussed,within the limited scope and passage,a few examples to illustrate the rich and fascinating manifestations of Berry phase in our understanding of many a physical property of a wide range of materials,including optoelectronic responses and quantum transport properties.It is also demonstrated that various topological phases of current interest are characterized by topological numbers,which are in fact incarnations of the Berry phase.A discussion of various techniques for gauge fixing,which may be important to the computation of Berry phase related properties,is also included.
In this pedagogically oriented review, we discuss the concept of Berry phase in quantum physics, paying particular attention to their manifestation in Bloch electrons. We have discussed, within the limited scope and passage, a few examples to illustrate the rich and fascinating manifestations of Berry phase in our understanding of many a physical property of a wide range of materials, including optoelectronic responses and quantum transport properties. It is also demonstrated that various topological phases of current interest are characterized by topological numbers, which are in fact incarnations of the Berry phase. A discussion of various techniques for gauge fixing, which may be important to the computation of Berry phase related properties, is also included.
基金
supported by the National Natural Science Foundation of China(Grant No.11725415)
