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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
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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.


投稿者 : hatsugai 投稿日時: 2019-09-30 11:19:28 (267 ヒット)

Exact flatness of energy bands implies some reasons behind. Here we present one of them, "molecular orbital (MO) representation", which seems to be applied for various classes of tight binding models. Mathematically if the rank of the hamiltonian as a linear operator is less than the number of atomic sites, the kernel of the linear operator has a finite dimension. This is the zero mode flat band. The MO rep. presents nice physical reasons for it. Original proposal by YH with Isao Maruyama in 2011 in EPL and arXiv is counting dimensions of non-orthogonal projections but the hopping of the MO's is allowed as we pointed out (it should be). It's a fun to guess what kinds of the MO representation is possible for a known flat band system. Try ! Also several physical reason why the flat band crosses/touches to dispersive bands in many cases are discussed. Our new paper has appeared in EPL, "Molecular-orbital representation of generic flat-band models", by T. Mizoguchi and Y. Hatsugai , also arXiv.


投稿者 : hatsugai 投稿日時: 2019-09-10 11:03:57 (232 ヒット)

I wrote a small article "So Small Implies So Large: For a Material Design" in the "News and comment" section of the JPSJ in relation to a recent interesting paper by Toshikaze Kariyado. Material deformation induces a gauge field that modifies electronic structure and may result in the Landau levels without breaking time reversal. Have a look at.


投稿者 : hatsugai 投稿日時: 2019-09-09 22:11:58 (198 ヒット)

Our paper "Higher-Order Topological Phase in a Honeycomb-Lattice Model with Anti-Kekulé Distortion" by Tomonari Mizoguchi, Hiromu Araki, and Yasuhiro Hatsugai, has appeared in J. Phys. Soc. Jpn. 88, 104703 (2019). One can access also via arXiv:1906.07928. Z6 quantization in honeycomb structure is the key. Have a look at.


投稿者 : hatsugai 投稿日時: 2019-08-08 00:43:18 (198 ヒット)

Due to an intrinsic symmetry of a mechanical system with friction governed by the Newton equation, exceptional rings appear in two dimensions. We have demonstrated it and classification of symmetry-protected non-Hermitian degeneracies is addressed putting a focus on the symmetry. The paper is published in Physical Review B, "Exceptional rings protected by emergent symmetry for mechanical systems" by Tsuneya Yoshida and Yasuhiro Hatsugai. You may find also here arXiv:1904.10764.


投稿者 : hatsugai 投稿日時: 2019-07-30 23:27:07 (276 ヒット)

A series of quantum phase transitions of integer Heisenberg spin chains (S=2, 3 and 4) with J1-J2 interaction is characterized by the Z2 Berry phases associated with local U(1) bond twists. The results are consistently understood by the valence bond (VB) reconstruction and adiabatic deformation to the generalized AKLT models. Have a look at, arXiv:1904.00612 and Phys. Rev. B 100, 014438 (2019) (published).


投稿者 : hatsugai 投稿日時: 2019-03-28 15:46:47 (506 ヒット)

Our paper, "Fractionally Quantized Berry’s Phase in an Anisotropic Magnet on the Kagome Lattice" by T. Kawarabayashi, K. Ishi and Y.Hatsugai, has been published in JPSJ (arXiv:1806.10767). Z3 Berry phases characterize "Trimer phase" of quantum S=1/2 spins on a Kagome lattice.


投稿者 : hatsugai 投稿日時: 2019-03-12 17:17:18 (640 ヒット)

Hall conductance of the fractional/integer quantum Hall effect is given by the Chern number defined by an integration of the field strength two form of the Berry connection associated with the boundary condition. Actually one can skip this integration when the system size is sufficiently large We have demonstrated this fact with numerical validity. The paper will appear in Physical Review Letters, "Many-body Chern number without integration", by Koji Kudo, Haruki Watanabe, Toshikaze Kariyado, and Yasuhiro Hatsugai. This letter is selected as the Editor's suggestion.


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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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