2004 Volume 59 Issue 8 Pages 520-529
The role of geometry in physics continues to charm theories. In condensed matter physics, on the other hand, the vital role played by the quantal Berry phase has recently been recognized especially in the transport phenomena. Berry phase is the fundamental concept when the role of the geometry in quantum theory is considered. In this article, I review its basic concept, previous works, and recent advances including our own activities related to this issue.