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ResercherID: Y. Hatsugai
[F]  2013 EMN West Meeting on Topological Insulators,  Houston, USA  Jan 7-10(2013) [ Web ]

Invited: "Symmetry protection in topological phases"
             Yasuhiro Hatsugai
One of the characteristic features of topological phases such as topological insulators is absence of the fundamental symmetry breaking which has been a basic concept in the description of conventional order. Still symmetry plays a central role for the topological phases as symmetry protection in several ways. Gapless node structure of anisotropic superconductors is topologically protected, which is a historical example [1,2]. Generically the symmetry governs the gapless phases with massless Dirac fermions in 2D, 3D and more [3,4] where the co-dimenison of the generic degeneracy is crucial. For the gapped phases, the symmetry again controls properties of the topological systems. In addition to the intrinsically quantized quantities such as the Chern numbers, one further has adiabatic invariants by symmetry protected quantization as the Z2 Berry phases and its generalization [4,5,6]. They are used as the topological order parameters. Specifically for the topological insulators, the time reversal symmetry (TR) and the associated Kramers (KR) degeneracy are fundamentally important. Then the natural tool for the description is a quaternion and the quaternionic Berry connections of the KR pair. Topological quantities with/without TR symmetry are described in a parallel way for the Chern numbers and symmetry protected quantized quantities [5]. Also the charge-flux duality of some 3D topological insulator on a frustrated lattice will be discussed [7].
1. E. I. Blount, Phys. Rev. B 32, 2935 (1985).
2. G. E. Volovik, JETP Lett. 66, 522 (1997).
3. M. Creutz, JHEP 04, 017 (2008).
4. Y. Hatsugai, J. Phys. Soc. Japan 75, 123601 (2006).
5. Y. Hatsugai, New J. Phys. 12, 065004 (2010).
6. Y. Hatsugai and I. Maruyama, EPL 95, 20003 (2011).
7. Y. Hatsugai and Y. Avishai, to be published.
[P] Seminar at M. Ueda Group, Univ. Tokyo, JAPAN, Jan 24 (2013)
[P] Topological states of matter, Aspen, USA Jan 13--18 (2013)

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166日!
投稿者 : hatsugai 投稿日時: 2018-06-20 11:30:51 (89 ヒット)

Our paper on ZN Berry phases for symmetry protected phase (SPT) has been published in Physical Review Letters, T. Kariyado, T. Morimoto and Y. Hatsugai, "ZN Berry phases in SPT phases". Have a look at. Also see EPL in 2011 for the ZN quantization.

投稿者 : hatsugai 投稿日時: 2018-06-09 07:26:18 (83 ヒット)

Zongping Gong (Univ. of Tokyo) will talk on the topological phases of non-hermite system on July 11 (2018) (We have updated the typo (date and time) in the poster). It starts from 15:00. Join us.

投稿者 : hatsugai 投稿日時: 2018-06-06 15:25:13 (64 ヒット)

On June 13 (2018), Nobuyuki Yoshioka (Univ. of Tokyo) will give a talk on the physical application of the machine learning "Machine Learning Disordered Topological Phases by Statistical Recovery of Symmetry". Join us.

投稿者 : hatsugai 投稿日時: 2018-04-20 18:51:10 (191 ヒット)

ありがとうございました: 平成30年度科学技術分野の文部科学大臣表彰,科学技術賞(研究部門)初貝安弘「トポロジカル相でのバルクエッジ対応の研究」 [PDF]

投稿者 : hatsugai 投稿日時: 2017-12-26 01:33:43 (414 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」

    [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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