New developments in quantum orders

2015 Fiscal Year Final Research Report

• Project/Area Number: 25287085
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Partial Multi-year Fund
• Section: 一般
• Research Field: Condensed matter physics II
• Research Institution: Kyoto University (2015); Nagoya University
• Principal Investigator: Sato Masatoshi 京都大学, 基礎物理学研究所, 教授 (30313117)
• Co-Investigator(Kenkyū-buntansha): MIZUSHIMA Takeshi 大阪大学, 基礎工学研究科, 准教授 (50379707)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: 量子秩序相 / 量子凝縮系 / 超伝導

Outline of Final Research Achievements

In this study, we have studied novel quantum orders which are realized in insulators, superconductors, and semimetals. Special focus is made on theoretical studies of “symmetry-protected quantum orders” which are obtained by combining quantum properties like topology of wave functions with symmetry specific to individual systems. In particular, using a mathematical theory of topology called the K-theory, we have completed topological classification of topological crystalline insulators and superconductors in the presence of order-two point group symmetries. This result indicates that much more materials may host symmetry-protected quantum orders than we expected.

Free Research Field

数物系科学