Topological Solitons and Low-Energy Phenomena on Noncommutative Space

非交换空间上的拓扑孤子和低能现象

• 批准号: 21540254
• 负责人: EZAWA Zyun F.
• 金额: $ 2.83万
• 依托单位: The Institute of Physical and Chemical Research
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009-04-01 至 2014-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540254/
• 关键词: 非可換空間; 非可換ソリトン; 量子ホール効果; 量子位相; ジョセフソン電流; スカーミオン; スピン流; ゴールドストーン・モード; ２層量子ホール系; ボーズ凝縮; 2層量子ホール系; トポロジカルソリトン; メロン対

Noncommutative geometry is realized in the quantum Hall (QH) system. Charged excitations in the QH system are noncommutative skyrmions. On the other hand, parallel magnetic field penetrates into the bilayer system as quantized sine-Gordon soliton fluxes. I have analyzed a scattering process of skyrmions against a sine-Gordon soliton lattice and compared the theoretical results with the experimental results due to Sawada's group (Kyoto University) with good agreement. Next, I made a theoretical study of the Josephson-like phenomena in a bilayer QH system for various way of feeding current to the system. I have compared the results with the experimental results due to von Klitzing's group (Max-Planck Institute) with good agreement. I have also analyzed Goldstone modes in the canted antiferromagnetic phase of the bilayer QH system within the framework of the noncommutative geometry. Then, I have predicted the existence of spin-Josephson current.

非共同的几何形状在量子大厅（QH）系统中实现。 QH系统中充电的激发是非共同的天空。另一方面，平行磁场作为量化的正弦型孤子通量渗透到双层系统中。我已经分析了针对正弦的索利顿晶格的天空散射过程，并将理论结果与萨索达小组（京都大学）引起的实验结果进行了比较。接下来，我对双层QH系统中的约瑟夫森样现象进行了理论研究，用于将电流馈送到系统中。我已经将结果与实验结果与冯·克里兹（Von Klitzing）组（Max-Planck Institute）与实验结果进行了比较。我还分析了双层QH系统的倾斜的抗铁磁相中的金石模式。然后，我预测了自旋 - 约瑟夫森电流的存在。

项目成果

Quantum hall ferromagnets

• 发表时间: 2016
• 作者: Akshay Kumar

The Study of Goldstone modes inν=2 Bilayer Quantum Hall Systems, HMF-20

ν=2 双层量子霍尔系统 HMF-20 中戈德斯通模式的研究

• 发表时间: 2012
• 作者: Y. Hama;G. Tsitsishvili;and Z.F. Ezawa
• 通讯作者: and Z.F. Ezawa

Josephson Inplane and Tunneling Currents in Bilayer Quantum Hall System

双层量子霍尔系统中的约瑟夫森面内电流和隧道电流

• 发表时间: 2012
• 作者: Z.F. Ezawa;G. Tsitsishvili;A. Sawada
• 通讯作者: A. Sawada

Activation study of collective excitations of the soliton-lattice phasein theν=1 double-layer quantum Hallstate

ν=1双层量子霍尔态孤子晶格相集体激发的激活研究

• DOI: 10.1103/physrevb.81.073303
• 发表时间: 2010
• 期刊: Phys. Rev
• 作者: D. Terasawa1;S. Kozumi;A. Fukuda;M. Morino;K. Iwata;N. Kumada;Y. Hirayama;Z. F. Ezawa;and A. Sawada
• 通讯作者: and A. Sawada

Skyrmion and Bimeron Excitations in Imbalanced Bilayer Quantum Hall Systems

• DOI: 10.1063/1.3666523
• 发表时间: 2011-12
• 作者: Z. F. Ezawa;G. Tsitsishvili