Fast adiabatic method for measuring topological Chern number

• 来源期刊: 中国科学:物理学 力学 天文学（英文版）
• 年，卷（期）: 2018,（5）
• 页码范围: 79-80
• 页数: 2页
• 语种: 英文

摘要

Topological phases play an increasingly central role in condensed matter physics [1,2] and fault-tolerant quantum computation [3].The global nature can be characterized by certain topological invariants,many among them can be defined as the integrals of some geometric quantities.A well-known example is the Chern number [4].It is the integral of Berry curvature over a surface without boundary and is thus closely related to Berry phase [5].The integer Chern number can be interpreted as the filling factor emerging in quantized plateaus of the Hall conductance of 2D electronic systems [6].As a whole property of parameter space,the Chern number reveals the degenerate points of ground states,which can be viewed as magnetic monopoles from the electromagnetic analogy.We can use the Chern number to probe different topological phases and their corresponding transitions.