Systematic study of dilute Fermi systems based on quantum cluster expansion method

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K17725
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Ochanomizu University
• Principal Investigator: Sakumichi Naoyuki お茶の水女子大学, ソフトマター教育研究センター, 特任助教 (50635555)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: Lee-Yangの量子クラスター展開法 / エネルギー汎関数を用いた変分法 / monopole dominance / Abelian dominance

Outline of Final Research Achievements

(1) We have addressed the problem of two-dimensional 3He system having a liquid phase. In this study, we found that the spin triplet state forms a metastable liquid phase by obtaining the relationship between energy and particle number density by using the variational method using energy functional. (2) As to the few-body systems of quarks, it was clarified how much the confinement properties are retained by Abelian part and monopole part of QCD vacuum. (3) We studied viscoelastic body as a new development of classical system. Based on the experience of the lattice gauge theory in the research of (2) above, it succeeded in elucidating the mechanism of velocity jump on the crack growth of viscoelastic body.

Free Research Field

統計物理学