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初貝 安弘 ORCID iD icon
筑波大学
筑波大学大学院
数理物質科学研究科
物理学専攻 教授
初貝写真
Yasuhiro2-Nov11-09
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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(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 (272 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 (520 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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