Theoretical Study on Correlation Effects in Topological Matter
暫譯: 拓撲物質中相關效應的理論研究
Isobe, Hiroki
- 出版商: Springer
- 出版日期: 2018-07-31
- 售價: $4,600
- 貴賓價: 9.5 折 $4,370
- 語言: 英文
- 頁數: 136
- 裝訂: Quality Paper - also called trade paper
- ISBN: 9811099553
- ISBN-13: 9789811099557
海外代購書籍(需單獨結帳)
商品描述
This thesis elucidates electron correlation effects in topological matter whose electronic states hold nontrivial topological properties robust against small perturbations. In addition to a comprehensive introduction to topological matter, this thesis provides a new perspective on correlated topological matter.
The book comprises three subjects, in which electron correlations in different forms are considered. The first focuses on Coulomb interactions for massless Dirac fermions. Using a perturbative approach, the author reveals emergent Lorentz invariance in a low-energy limit and discusses how to probe the Lorentz invariance experimentally. The second subject aims to show a principle for synthesizing topological insulators with common, light elements. The interplay between the spin-orbit interaction and electron correlation is considered, and Hund's rule and electron filling are consequently found to play a key role for a strong spin-orbit interaction important for topological insulators. The last subject is classification of topological crystalline insulators in the presence of electron correlation. Unlike non-interacting topological insulators, such two- and three-dimensional correlated insulators with mirror symmetry are demonstrated to be characterized, respectively, by the Z4 and Z8 group by using the bosonization technique and a geometrical consideration.
商品描述(中文翻譯)
這篇論文闡明了拓撲物質中的電子相關效應，其電子態具有對小擾動穩健的非平凡拓撲性質。除了對拓撲物質的全面介紹外，這篇論文還提供了對相關拓撲物質的新視角。
本書包含三個主題，考慮了不同形式的電子相關性。第一個主題專注於無質量狄拉克費米子的庫倫相互作用。作者使用擾動方法揭示了在低能量極限下出現的洛倫茲不變性，並討論了如何在實驗中探測洛倫茲不變性。第二個主題旨在展示合成具有常見輕元素的拓撲絕緣體的原則。考慮了自旋-軌道相互作用與電子相關性之間的相互作用，因此發現洪德規則和電子填充在強自旋-軌道相互作用中對拓撲絕緣體的重要性扮演了關鍵角色。最後一個主題是電子相關性存在下的拓撲晶體絕緣體的分類。與非相互作用的拓撲絕緣體不同，這些具有鏡對稱性的二維和三維相關絕緣體分別被證明可以用Z4和Z8群來表徵，這是通過波色化技術和幾何考量來實現的。
作者簡介
Hiroki Isobe is a postdoctoral associate at the Massachusetts Institute of Technology. His work is concerned with the theory of condensed matter physics, and he particularly focuses on the effects of electron interactions in topological phases of matter. He is interested in interacting topological phases and exotic superconductivity.
Hiroki Isobe received a Bachelor of Engineering from the Department of Applied Physics, The University of Tokyo in March 2011. Thereafter he joined the group led by Professor Naoto Nagaosa in the Department of Applied Physics, The University of Tokyo, receiving both a Master of Engineering and a Ph.D. in engineering from The University of Tokyo in March 2013 and in September 2015, respectively. In 2013, he received the Tanaka Shoji Prize from the Department of Applied Physics, The University of Tokyo for an outstanding Master's thesis. He was also awarded a research fellowship by the Japan Society for the Promotion of Science (JSPS) in 2013, and was supported by JSPS during his doctoral course.
作者簡介(中文翻譯)
廣木磯部（Hiroki Isobe）是麻省理工學院（Massachusetts Institute of Technology）的博士後研究員。他的研究涉及凝聚態物理的理論，特別專注於電子相互作用在拓撲相（topological phases）中的影響。他對相互作用的拓撲相和奇異超導性（exotic superconductivity）感興趣。
廣木磯部於2011年3月獲得東京大學應用物理系的工程學士學位。此後，他加入了東京大學應用物理系由長尾直人教授（Naoto Nagaosa）領導的研究小組，並於2013年3月和2015年9月分別獲得東京大學的工程碩士和博士學位。2013年，他因其優秀的碩士論文獲得東京大學應用物理系的田中商事獎（Tanaka Shoji Prize）。他還於2013年獲得日本學術振興會（Japan Society for the Promotion of Science, JSPS）的研究獎學金，並在其博士課程期間獲得JSPS的支持。
