Instability of Tomonaga-Luttinger Liquids and Quantum Phase Transitions

Tomonaga-Luttinger 液体的不稳定性和量子相变

• 批准号: 11640351
• 负责人: KAWAKAMI Norio
• 金额: $ 1.22万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640351/
• 关键词: Tomonaga-Luttinger Liquid; Conformal Field Theory; One-Dimensional Electron Systems; Quantum Phase Transitions; 準一次元系; 強相関電子系; 量子スピン系; 準1次元系

Recently, a variety of new materials have been found for one-dimensional electron systems as well as ladder systems. Various striking phenomena have been observed. The aim of this research is to study quantum fluctuations, spin-gap formation, magnetic phase transitions, etc, for one- and two-dimensional correlated electron systems with particular emphasis on the instability of the Tomonaga-Luttinger liquid and related quantum phase transitions. We have obtained a number of interesting results on the quantum phase transitions, which are listed below:(1) Quantum Phase Transitions in Mixed Spin Systems(2) Photoemission Spectra for the 1D Mott insulator(3) Effect of a Mobile Impurity on 1D Electron Systems(4) Haldane Gap in Alternating Magnetic Fields(5) NMR Relaxation Rate in 1D Correlated Electron Systems(6) Dynamically induced Kondo effect(7) Quantum Phase Transitions in Orthogonal-Dimer System(8) Electron Correlations in a Quantum Dot(9) Kondo Effect in Carbon Nanotubes(10) Magnetization and Hole-Doping Effect in a Frustrated Ladder system(11) Dynamical Responses of Multicomponent Tomonaga-Luttinger LiquidsAlthough the research has been performed systematically, there still remains the quantitative comparison with experiments, which will be considered in the future work.

近年来，人们发现了多种用于一维电子系统和阶梯系统的新材料。已经观察到各种惊人的现象。本研究的目的是研究一维和二维相关电子系统的量子涨落、自旋隙形成、磁相变等，特别强调Tomonaga-Luttinger液体的不稳定性和相关的量子相变。我们在量子相变方面得到了很多有趣的结果，(1)混合自旋系统中的量子相变(2)1D Mott绝缘体的光电光谱(3)移动杂质对1D电子系统的影响(4)交变磁场中的Haldane间隙(5)1D相关电子系统中的核磁共振弛豫率(6)动态诱导的近藤效应(7)正交二聚体系统中的量子相变(8)量子点中的电子相关性(9)碳纳米管中的近藤效应（10）（11）多组分Tomonaga-Luttinger liquid的动力学响应虽然已经进行了系统的研究，但仍然存在与实验的定量比较，这将在未来的工作中考虑。

项目成果

Yoshihiro Takushima: "Competing Spin-Gap Phases in a Frustrated Quantum Spin System"J. Phys. Soc. Jpn.. Vol. 70. 1369-1374 (2001)

Yoshihiro Takushima：“受挫量子自旋系统中的竞争自旋间隙相”J。

Akihisa Koga: "Quantum Phase Transitions in Two-Dimensional Spin Systems with Ladder,Plaquette and Mixed-Spin Structures"J.Phys.Soc.Jpn.. 68. 2373-2379 (1999)

Akihisa Koga：“具有阶梯、板和混合自旋结构的二维自旋系统中的量子相变”J.Phys.Soc.Jpn.. 68. 2373-2379 (1999)

Tatsuya Fujii: "Dynamically Induced Multi-Channel Kondo Effect"Phys. Rev.. B63. 64414-64419 (2001)

藤井龙也：“动态诱导的多通道近藤效应”Phys。

Akira Kawaguchi: "NMR Relaxation Rate for One-Dimensional Multicomponent Spin-Orbital Systems"J. Phys. Soc. Jpn.. Vol. 69. 3055-3062 (2000)

Akira Kawaguchi：“一维多分量自旋轨道系统的核磁共振弛豫率”J。

Akira Kawaguchi: "Magnetic properties for the One-Dimensional Multicomponent Spin-Gap System"Phys. Rev.. Vol. B 63. 144413/1-144413/7 (2001)

Akira Kawaguchi：“一维多组分自旋间隙系统的磁性”Phys。