Stability of ferromagnetism in manyelectron systems
 Date
 July 31 (Fri) at 16:00  18:10, 2020 (JST)
 Speaker

 Tadahiro Miyao (Associate Professor, Department of Mathematics, Faculty of Science, Hokkaido University)
 Venue
 via Zoom
 Language
 English
First part
Title: Stability of ferromagnetism in manyelectron systems
Abstract:
I construct a modelindependent framework describing stabilities of ferromagnetism in strongly correlated electron systems. Within the new framework, I reinterpret the MarshallLiebMattis theorem and Lieb’s theorem; in addition, from the new perspective, I prove that Lieb’s theorem still holds true even if the electronphonon and electronphoton interactions are taken into account. I also examine the NagaokaThouless theorem and its stability. These examples verify the effectiveness of the new viewpoint.
Second part
Title: Order preserving operator inequalities in manyelectron systems
Abstract:
In this talk, I will introduce order preserving operator inequalities and explain how these inequalities are applied to the mathematical study of ferromagnetism. As examples of applications, Lieb's theorem of the Hubbard model and its stabilities will be discussed in terms of the inequalities.
*Please contact Keita Mikami's mail address to get access to the Zoom meeting room.