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初貝 安弘
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
Yasuhiro2-Nov11-09
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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

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30年の新年あけましておめでとうございます。今年もあと256日!
最新ニュース
投稿者 : hatsugai 投稿日時: 2017-12-26 01:33:43 (336 ヒット)

最近の研究成果トピックスとして2017年度の科研費ニュース vol.3 にトポロジカル相とバルク・エッジ対応の関係の解説を我々の研究の背景として書きました。予備知識は不要ですのでご興味のある方はご覧下さい。「トポロジカル物質におけるバルク・エッジ対応」


投稿者 : hatsugai 投稿日時: 2017-12-22 19:52:51 (288 ヒット)

Michel Fruchart (Instituut-Lorentz Universiteit, Leiden) will give a talk on Jan.9 (2018), 10:30 am at Rm. B602 by the title Topology of effective evolutions: oriented scattering networks and the phase rotation symmetry


投稿者 : hatsugai 投稿日時: 2017-12-22 11:33:02 (305 ヒット)

Christopher Mudry (Paul Scherrer Institute, Switzerland) gives a talk by the title "Abelian topological order in three-dimensional space" at Rm. B602 from 14:00 on Dec.28, (2017). The detail is here


投稿者 : hatsugai 投稿日時: 2017-11-27 18:03:29 (584 ヒット)

We are organizing an "International workshop : Variety and universality of bulk-edge correspondence 2018 (BEC2018) . Please do not confuse with Bose-Einstein condensation :) Its program is ready.


投稿者 : hatsugai 投稿日時: 2017-10-06 16:36:02 (342 ヒット)

The entanglement Chern numbers is a Chern number of an entanglement Hamiltonian which characterizes topological properties of a topological phase. Starting from a pure state density matrix of the ground state, one may obtain finite temperature (mixed state) density matrix by tracing out parts of the system. If the entanglement hamiltonian has a finite energy gap, the Chern number is well defined by lowering the temperature. We apply the concept for the 3D topological phases.The parity of the number of the Weyl point gives a well defined topological number to distinguish the the state is topologically non trivial. Have a look at arXiv 1708.03722 . The paper has been accepted for publication in Physical Review B.


    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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