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初貝 安弘 ORCID iD icon
筑波大学
筑波大学大学院
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「トポロジカル相の発見とその展開」
九州大学大学院理学研究科 集中講義 (野村清英 先生 ご紹介)
平成30年7月17日-19日

概要
量子ホール効果の発見にはじまり,Haldane相,グラフェン,トポロジカル絶縁体,ワイル半金属,そして量子系以外のフォトニック結晶や古典力学系のトポロジカル相にも多彩に展開したトポロジカル相に関してその基礎から講義する。特にベリー接続,対称性の保護とバルク・エッジ対応に関して詳しく議論する。

講義内容 (pdf files are in English except beginning a few.
0. Introduction:
[Talk file (pdf)]
1. Symmetry breaking to the topological phases:
[Talk file (pdf)]
reference
2. Topological phases and bulk-edge correspondence (overview):
[Talk file (pdf)]
reference
3. Quantum Hall effects and bulk-edge correspondence:
[Talk file (pdf)]
reference
4. Quantum/spin liquids and Berry phases (topological order parameters):
Seminar (July 17, 2018), Y. Hatsugai, "Short-range entangled states and bulk-edge correspondence: Symmetry protection and ZN Berry phases" [Talk file (pdf)]
reference
4-1. More quantum/spin liquids and Berry phases and Entanglement Entropy (EE)
[Talk file (pdf)]
reference
4-2. Symmetry constraints for the Berry phases: Lieb-Schultz-Mattis type gap closing conditions
[Talk file (pdf)]
reference
5. Dirac fermions, Berry phases and bulk-edge correspondence
[Talk file (pdf)]
reference
6. Berry connections
Black board lecture
reference
7. Topological insulators
[Talk file (pdf)]
reference
8. Topological phases without quanum mechanics
reference
9. Topological pumping
[Talk file (pdf)]
reference

Q. レポート問題 : [problem]
前
「バルクエッジ対応の物理の多様性と普遍性」千葉大学大学院理学研究科 物理 (中山隆史 先生 ご紹介)2015年(平成27年) 7月8日-9日
カテゴリートップ
集中講義

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現在の時刻
今年もやります。まずは量子力学3(遠隔). 冬は 統計力学2 改め物性理論4 (大学院「ベリー接続の理論とバルクエッジ対応」). 令和二年の新年あけましておめでとうございます。今年もあと178日!
最新ニュース
投稿者 : hatsugai 投稿日時: 2020-06-18 07:34:20 (69 ヒット)

Linear electric circuits are one more non-quantum platform of the topological phenomena such as bulk-edge correspondence we have been working around. Then its non-hermitian extension with/without symmetry is surely of the important targets. We have here discussed mirror skin effects of the non-hermitian electric circuit where the boundary states dominate on the mirror symmetric lines. Also possible realization is proposed. Have a look at "Mirror skin effect and its electric circuit simulation" by Tsuneya Yoshida, Tomonari Mizoguchi, and Yasuhiro Hatsugai, Phys. Rev. Research 2, 022062(R) (2020) (Open access).


投稿者 : hatsugai 投稿日時: 2020-06-09 12:11:19 (88 ヒット)

We have been proposing a systematic construction scheme of flat bands by molecular orbitals (MO). Now it is extended for systems with non trivial topology where non trivial bands with non zero Chern numer may cross the flat bands although the Chern number of the flat band itself is vanishing. We have presented a various other examples such as the Haldane model and the Kane-Mele model of the MOs'. Have a look at Systematic construction of topological flat-band models by molecular-orbital representation" by Tomonari Mizoguchi and Yasuhiro Hatsugai, Phys. Rev. B 101, 235125 (2020) also arXiv:2001.10255.


投稿者 : hatsugai 投稿日時: 2020-03-15 00:55:42 (271 ヒット)

Topological phases are everywhere. Higher order topological phases are realized in a spring mass model on a Kagome lattice. Berry phases quantized in a unit of 2π/3 predict localized vibration modes near the corner of the system. This quantization is due to a symmetry protection. Have a look at our paper in Physical Review B. Most of the topological phenomena are realized in a mechanical analogue, which are much accessible without any real high-tech. Of course, it is still a non-trivial task.


投稿者 : hatsugai 投稿日時: 2020-02-26 09:17:33 (402 ヒット)

Pierre Delplace (Laboratoire de Physique, École Normale Supérieure de Lyon, France) will be telling us on his series of works as a title "Topological waves from condensed matter to the atmosphere". Audience from various area is welcome such as physics and geophysics. The talk is from 14:00 Feb. 27 (2020) at B118. See details in pdf. Join us.


投稿者 : hatsugai 投稿日時: 2020-01-15 01:17:36 (519 ヒット)

ZQ Berry phase, that is quantized due to symmetry, is defined and used successfully for characterization of 2D/3D higher order topological phases with/without interaction. Both for spins and fermions. The article by Hiromu Araki, Tomonari Mizoguchi and Yasuhiro Hatsugai has been published in Physical Review Research. Also it is highlighted here as one of the Rapid Communications. Have a look at !


    検索
    バルク・エッジ対応
    [0] バルクとエッジ
    [1] 集中講義
    [2] 原論文と解説
    [3] トポロジカル秩序とベリー接続:日本物理学会誌 「解説」 [JPS-HP] [pdf]
    [4] "Band gap, dangling bond and spin : a physicist's viewpoint" [pdf] [Web]
    トポロジカル相
    [0]昔の科研費
    科研費 1992年度:電子系スピン系におけるトポロジカル効果
    科研費 1994年度:物性論におけるトポロジーと幾何学的位相
    私の講演ファイルのいくつか
    [1] MIT, Boston (2003)
    [2] APS/JPS March Meeting (2004)
    [3] JPS Fall meeting, JAPAN (2004)
    [4] APS/JPS March meeting (2005)
    [5] JPS Fall meeting (2005):Entanglement
    [6] Superclean workshop, Nasu (2006)
    [7] MPIPKS, Dresden (2006)
    [8] KEK, Tsukuba (2007)
    [9] ETH, Zurich (2008)
    [10] ICREA, Sant Benet (2009)
    [11] JPS Meeting, Kumamoto (2009)
    [12]HMF19, Fukuoka (2010)
    [13] NTU, Singapore (2011)
    [14] ICTP, Trieste (2011)
    [15] Villa conf., Orland (2012)
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