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HATSUGAI   Lab.     Institute of Physics, University of Tsukuba


L: Topological stability of Dirac cones, merging & C: fractal in graphene (Flying Butterfly) & R: Non Abelian gauge structure in solids
Refereneces :
[1] Y. Hatsugai, T. Fukui, H. Aoki, Phys. Rev. B 74, 205414 (2006) : [Journal Link] , arXiv:cond-mat/0607669
"Topological analysis of the quantum Hall effect in graphene"
[2] Y. Hatsugai, J. Phys. Soc. Jpn. 73, 2604 (2004) : [Journal Link] , arXiv:cond-mat/0405551
"Explicit Gauge Fixing for Degenerate Multiplets: A Generic Setup for Topological Orders"

Hatsugai Group, Condensed Matter Theory

Targets of our research is to explore new insight and find novel physical principles in condensed matter materials and phenomena. We have been working on the following topics. [paper]

[1] Geometrical phases of condensed matter physics
Target material and phenomena
(1) Graphene as a relativistic Dirac particle in solid states
(2) Quantum Hall effects as typical topological insulators
(3) Quantum spin Hall phase as a time reversal invariant topological insulator
(4) Electrons with strong correlation as non trivial quantum liquids
(5) Exotic superconductivity with anisotropic pairing
(6) Frustrated magnets as typical spin liquids
(7) Semiconductor nano-structures as a playground of novel quantum phenomena
(8) Universal edge states in quantum (spin) Hall effects, Haldane magnets, photonic crystals and cold atoms
(9) Aharonov-Bohm effect and its generalization

Theoretical methods and concepts
(1) Non-Abelian gauge structures of the Berry connections
(2) Berry connections and their generalization
(3) Quantum order parameters by the Chern numbers and generic Berry phases
(4) Theory of generic Aharnov-Bohm effects
(5) Entanglement entropy of quantum liquids and spin liquids
(6) Universality of the Bulk-Edge correspondence
(7) Characterization of topological orders in quantum liquids


[2] Novel quantum phenomena in real material and their relation to the emerging mathematical concepts as quantum group
Some works [Link1][Link2]
[3] Novel techniques to study ferimonic many body systems with strong correlation
Basic work [Link]
[4] Realistic electronic structures & topological quantities
One of my basic works [Link]


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Institute of Physics
University of Tsukuba
1-1-1 Tennodai
Tsukuba
Ibaraki 305-8571
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Year 2013
A HAPPY NEW YEAR 2020, 148 days left this year !
Recent News
Poster : hatsugai on 2020-07-30 12:47:16 (33 reads)

Our article on non-hermitian band touching for strongly correlated systems has been published in PTEP (Progress of Theoretical and Experimental Physics), "Exceptional band touching for strongly correlated systems in equilibrium", by Tsuneya Yoshida, Robert Peters, Norio Kawakami, Yasuhiro Hatsugai. Focusing on the non-hermitian topological phenomena for the equilibrium Green function of correlated electrons, a compact review of the exceptonal band touching that is intrinsic for non-hermitian matrices is described as well. Have a look at.


Poster : hatsugai on 2020-07-09 12:45:13 (105 reads)

Mass points on a periodic lattice connected by springs (spring-mass model) is a simple mechanical system described by an energy-momentum dispersion, that is a macroscopic phonon. We hereby discuss it on the Lieb lattice with chiral symmetry. It possesses extra degeneracy at some momentum compared with well investigated electronic systems (due to extra degree of freedoms). Have a look at "Topological Modes Protected by Chiral and Two-Fold Rotational Symmetry in a Spring-Mass Model with a Lieb Lattice Structure", J. Phys. Soc. Jpn. 89, 083702 (2020) by Hiromasa Wakao, Tsuneya Yoshida , Tomonari Mizoguchi , and Yasuhiro Hatsugai. Also arXiv:2005.00752.


Poster : hatsugai on 2020-06-18 07:34:20 (177 reads)

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).


Poster : hatsugai on 2020-06-09 12:11:19 (184 reads)

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.


Poster : hatsugai on 2020-03-15 00:55:42 (391 reads)

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.


    Search
    Bulk-edge correspondence
    [0] バルクとエッジ
    [1] Focus lecture
    [2] Original papers
    [3] Japanese Physical Society monthly issue Commentary (Only Japanese except abstract) [pdf]
    [4] "Band gap, dangling bond and spin : a physicist's viewpoint" [pdf]
    Topological phases
    [0]Historical project
    KAKEN-HI DB FY1992 : Topological effects in electronic/spin systems
    KAKEN-HI DB FY1994 : Topology & geometrical phases in condensed matter physics
    Some of my talk files
    [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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