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初貝 安弘
物理学専攻 教授
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ResercherID: Y. Hatsugai

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

「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

今年もやります。まずは量子力学3. 冬は 統計力学2. 平成29年の新年あけましておめでとうございます。今年もあと131日!
投稿者 : hatsugai 投稿日時: 2017-08-17 17:01:30 (133 ヒット)

初貝研究室では今回助教2名を公募いたします(公募締め切り2017年9月15日)。委細は [助教公募] をご確認ください。適任者のご推薦、ご応募の方よろしくお願いいたします。

投稿者 : hatsugai 投稿日時: 2017-08-17 17:00:09 (22 ヒット)

We are organizing a Japan-Swiss workshop TTCM2017 at EPOCHAL Tsukuba, Sep.10-13 (2017). Limited number of posters will be still accepted.

投稿者 : hatsugai 投稿日時: 2017-08-03 13:38:17 (66 ヒット)

A numerical scheme to calculate the many body Chern number for a ground state multiplet is formulated and explicitly given for projected bands of any lattice. We demonstrate its validity for lattice analogue of the nu=1/3 and 1/2 states. The string gauge to realize the minimum flux compatible with the periodicity of the unit cell is also presented. [arXiv:1707.06722], to appear in JPSJ lett.

投稿者 : hatsugai 投稿日時: 2017-04-21 19:57:50 (160 ヒット)

数理科学5 月号(2017年)に「物理学における線形代数:量子力学での展開」として小話を3つ書きました。1.量子もつれ, 2.平坦バンド, 3. ベリー接続としての単磁極.興味のある方はご覧ください.「物理学と数学のつながり」数理科学 5月号

    [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]
    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
    [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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