Magnetism and superconductivity induced by holes introduced to Mott insulator

2016 Fiscal Year Final Research Report

• Project/Area Number: 26400411
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Toyota Technological Institute
• Principal Investigator: Takano Ken'ichi 豊田工業大学, 工学(系)研究科(研究院), 教授 (00197112)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: モット絶縁体 / ホールとスピンの束縛状態 / t-Jモデル

Outline of Final Research Achievements

We investigated the motion of holes which are introduced in Mott insulator by doping. Such a hole moves in the surrounding electrons, strongly interacting with the electronic spins. By numerical analysis, we confirmed that one hole and spins form a bound state which behaves as a composite particle with spin S=1, 2, 3, ... . The spin magnitude of a composite particle depends on the values of parameters in the Hamiltonian. Two S=1 composite particles exist almost independently. Two composite particles with S more than 1 aggregate to a single ferromagnetic area. We further constructed the phase diagram for finite hole density by numerical calculation.

Free Research Field

物性基礎論