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初貝 安弘 ORCID iD icon
筑波大学
数理物質系物理学域長
筑波大学大学院
数理物質科学研究科
物理学専攻 教授
物理学専攻長
初貝写真
Yasuhiro-Nov11-2009
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ResercherID: Y. Hatsugai
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Physics of bulk-edge correspondence by Y. Hatsugai

Hiroshima Univ. June 27-29 (2012) : hosted by Prof. Akio Kimura :
Plan & Syllabus

[1] Classical order
Symmetry breaking and low energy excitations
Ref. Talk PDF
[2] Topological order
Quantum liquids, topological order & edge states
Ref. Talk PDF
[3]Various edge states and their physical realization
Ref. Talk PDF
[4]Z2 quantization & topological order parameter
Z2 Berry phases as a singlet order parameter
Ref. paper
Ref. Talk PDF Talk at KITP 2008
[5]Gauge transformation & topological term
Ref. Lorentz force: Analytical mechanics: Univ. of Tsukuba, lecture note (2007) in Japanese
Ref. Path integral & gauge transformation : Univ. Tokyo, lecture note (2004) in Japanese
[6]Local U(1) for continuum & lattice
Peierls substitution
Harper equation
Ref. 2007 Grad. Course at U. Tsukuba
Topological origin of the Hall conductance : Note taken by Ms. JiYoung Kang
[7]The first Chern number as the quantized Hall conductance
Quantization of the first Chern number
Gauge freedom of the Berry connection
Ambiguity of the Berry phase
Gauge invariant form of the Chern numbers
Ref. paper1
Ref. paper2
Ref. paper3
[8]Dirac monopole & degeneracy
Gauge fixing & Dirac strings
The first Chern number & the Berry phase
Ref. paper1
Ref. paper2
Ref. [Y. Hatsugai in Focus issue in topological insulators :NJP][direct link to the paper]
[9]Bulk-edge correspondence
Laughlin argument & quantization
Winding numbers of the edge states
Ref. papers with comments
Ref. Talk PDF
Ref. KOTAIBUTSURI in Japanese
[10]Chiral symmetry & fermion doubling:*
Topological stability of the the massless Dirac cones
Landau levels of the massless Dirac fermions
Ref. article : KOTAI BUTSURI in Japanese
Ref. paper
Ref. 2010 Grad. Course at U. Tsukuba
Graphene and Berry connection : Note taken by Mr. R. Hidekata
[11]Time reversal invariance
Kramers degeneracy & Quaternions
Ref. Talk PDF
Yang monopole & degeneracy with the TR invariance
Ref. [Y. Hatsugai in Focus issue in topological insulators :NJP][direct link to the paper]
TR invariant edge states & Z2
Ref. Talk PDF

*:skipped due to time limitation

前
「物性論におけるトポロジカルな概念とその応用」名古屋大学大学院理学研究科 物理 (平島大 先生 ご紹介)平成22年11月8日ー11日
カテゴリートップ
集中講義
次
「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

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今年もやります。まずは量子力学3. 冬は 統計力学2. 平成31年の新年あけましておめでとうございます。今年もあと25日!
最新ニュース
投稿者 : hatsugai 投稿日時: 2019-12-06 18:21:14 (9 ヒット)

On Dec. 18, 2019, Yuichi Otsuka (RIKEN) will tell us on their work of the quantum Monte Carlo study for interacting Dirac fermions on lattice. As is known, the Dirac fermions are mother of all topological phases. " QMC Study of quantum criticality in 2D interacting Dirac fermions.". The talk will be given in Japanese.


投稿者 : hatsugai 投稿日時: 2019-12-03 01:35:51 (70 ヒット)

On Dec. 11 (Wed), K. Kawaguchi (RIKEN) will tell us on their work by a title "Collective cell dynamics and topology". It's a new area for us. Join the seminar. The talk will be given in Japanese.


投稿者 : hatsugai 投稿日時: 2019-11-18 18:54:05 (81 ヒット)

We have discussed a non-hermitian version of the fractional quantum Hall states. The paper, by Tsuneya Yoshida, Koji Kudo and Yasuhiro Hatsugai, has been published in Scientific Reports ( also arXiv:1907.07596 ). Non-hermitian physics has been extended to the topologically ordered states. It's a try. Relevant situations can be realized in cold atom experiments.


投稿者 : hatsugai 投稿日時: 2019-11-14 01:28:29 (114 ヒット)

Covalent Organic Frameworks (COF), I understand, is a large molecule where many (block) organic molecules are linked by strong covalent bonds in a periodic or non-periodic manner. It is a nice place where the higher order topological insulating phase is realized as we have pointed out. Then if the COF has boundaries, one can naturally expect edge states/corner states associated with the symmetry protected Berry phases of the bulk. This is correct. One of such a COF, we discussed, is a polymerized triptycene on a decorated star lattice. Our paper ”Flat bands and higher-order topology in polymerized triptycene: Tight-binding analysis on decorated star lattices” by Tomonari Mizoguchi, Mina Maruyama, Susumu Okada, Yasuhiro Hatsugai is for the phenomena and has been published in Physical Review Materials (See also arXiv 1907.06088).


投稿者 : hatsugai 投稿日時: 2019-11-09 07:50:55 (240 ヒット)

We have proposed a new correlated topological phase, "higher-order topological Mott insulator (HOTMI)" where spin-charge separated corner states emerge that are protected by Z3 spin Berry phases of the bulk. It is a generalized bulk-edge correspondence. The article has been published in Phys. Rev. Lett. (also arXiv:1905.03484). 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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