2012 Fiscal Year Final Research Report
Applications of operator inequalities induced by self-dual cones to the solid state physics
| Project/Area Number |
23740112
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Hokkaido University (2012)
Setsunan University (2011) |
|---|
Principal Investigator |
MIYAO Tadahiro 北海道大学, 大学院・理学研究院, 准教授 (20554421)
|
|---|
| Project Period (FY) |
2011 – 2012
|
| Keywords | 作用素不等式 / 自己双対錐 / 電子格子相互作用系 / 基底状態 |
|---|
| Research Abstract |
Self-dual cones in the Hilbert space naturally induce useful operator inequalities. We studied mathematical aspects of the inequalities and applied these to the condensed matter physics. For instance, the Holstein-Hubbard, SSH and Frohlich models are investigated from the viewpoint of our operator inequalities. We showed that ground states are unique in the Holstein-Hubbard and SSH models. This reveals interesting magnetic structures in the ground states.
|
