Theoretical Studies of the novel magnetic orders emergent from quantum spin liquids

2017 Fiscal Year Final Research Report

• Project/Area Number: 25400389
• 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: Saitama University
• Principal Investigator: Hida Kazuo 埼玉大学, 理工学研究科, 教授 (20133704)
• Project Period (FY): 2013-04-01 – 2018-03-31
• Keywords: 低次元量子磁性体 / フラストレーション / ハルデン相 / フェリ磁性相 / 量子相転移 / トポロジカル相 / 並進対称性の自発的破れ / 密度行列繰り込み群

Outline of Final Research Achievements

The ground-state and finite-temperature properties of various types of diamond chains, frustrated Heisenberg ladders, frustrated ferromagnetic-antiferromagnetic alternating chains, and high spin Heisenberg chains are investigated by the numerical methods such as exact diagonalization, density matrix renormalization group, and thermal pure quantum state methods, in addition to the analytical methods such as field theoretical analyses and exact solutions. Among them, we have clarified how the exotic quantum phenomena such as the partial ferrimagnetic phase, Haldane and ferrimagnetic phases with spontaneous translational symmetry breakdown, and the successive topological quantum phase transitions are induced by frustration and how the exotic properties of these ground states are reflected in the finite temperature behaviors.

Free Research Field

物性理論・統計物理学