36th CEMS Colloquium

講演者

永長直人 (創発物性科学研究センター副センター長)

日程

2016年2月10日(水) 17:30～18:30

開催場所

理化学研究所　大河内記念ホール

講演タイトル

固体電子の量子幾何学とトポロジー

講演概要

Since the quantum theory is formulated by rather abstract mathematics using the functional space of wavefunctions, i.e., Hilbert space, geometry is deeply involved there. In this talk, I will explain how the energy hierarchy of quantum states leads to the concept of manifolds in the Hilbert space and to the idea of gauge structures. The Berry phase is a representative example of gauge fields, which are relevant to many intriguing phenomena in solids. Various Hall effects with dissipationless currents, ferroelectricity, topological insulators, topological superconductors, Weyl semimetals, and topological solar cell action are discussed from this unified viewpoint.