Y. Hatsugai

University of Tsukuba, Tsukuba, Ibaraki, Japan

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Publications (83)219.32 Total impact

  • Y Hatsugai, K Shiraishi, H Aoki
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    ABSTRACT: In order to analytically capture and identify peculiarities in the electronic structure of silicene, the Weaire–Thorpe (WT) model, a standard model for treating three-dimensional (3D) silicon, is applied to silicene with a buckled 2D structure. In the original WT model for four hybridized sp 3 orbitals on each atom along with inter-atom hopping, the band structure can be systematically examined in 3D, where flat (dispersionless) bands exist as well. For examining silicene, here we re-formulate the WT model in terms of the overlapping molecular-orbital (MO) method which enables us to describe flat bands away from the electron–hole symmetric point. The overlapping MO formalism indeed enables us to reveal an important difference: while in 3D the dipersive bands with cones are sandwiched by doubly-degenerate flat bands, in 2D the dipersive bands with cones are sandwiched by triply-degenerate and non-degenerate (nearly) flat bands, which is consistent with the original band calculation by Takeda and Shiraishi. Thus there emerges a picture for why the whole band structure of silicene comprises a pair of dispersive bands with Dirac cones with each of the bands touching a nearly flat (narrow) band at Γ. We can also recognize that, for band engineering, the bonds perpendicular to the atomic plane are crucial, and that ferromagnetism or structural instabilities are expected if we can shift the chemical potential close to the flat bands.
    New Journal of Physics 02/2015; 17(2). DOI:10.1088/1367-2630/17/2/025009 · 3.67 Impact Factor
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    Toshikaze Kariyado, Yasuhiro Hatsugai
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    ABSTRACT: Topological properties of the spin-1/2 dimerized Heisenberg ladder are investigated focusing on the plateau phase whose magnetization is a half of the saturation value that appears in the applied magnetic field. Although the applied magnetic field removes most of the symmetries of the system, there is a symmetry protected topological phase supported by the spatial inversion symmetry in the 1/2-plateau phase. The Z2 Berry phase that is associated with a symmetry respecting boundary and is quantized into 0 and \pi is used to give a symmetry protected topological order parameter. Edge states are also analyzed to confirm the bulk-edge correspondence. In addition, a symmetry breaking boundary is considered. Then, we observe a unique type of quantization of the Berry phase, a quantization into +-\pi/2 of the Berry phase. In this case, the bulk-edge correspondence is also unique, namely, there emerge "polarized" edge states for the case with +-\pi/2 quantization. We also evaluate the entanglement entropy by the infinite time-evolving block decimation (iTEBD) to complement the Berry phase based arguments. Further, a different type of the topological order parameter is extracted from the matrix product state representation of the ground state given by the iTEBD.
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    Y. Hatsugai, K. Shiraishi, H. Aoki
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    ABSTRACT: In order to analytically capture and look for peculiarities in the electronic structure of silicene, Weaire-Thorp(WT) model, a standard model for treating three-dimensional (3D) silicon, is applied to silicene with the buckled 2D structure. A particular interest is that in the original WT model for four hybridized $sp^3$ orbitals on each atom and inter-atom hopping, the band structure can be systematically examined, which contains flat (dispersionless) bands. If we re-formulate the model in terms of the more general "overlapping molecular orbital" theory due to Hatsugai and Maruyama, we can generically treat the flat bands away from the electron-hole symmetric point in multi-orbital models for the first time. This enables us to newly interpret why the whole band structure of silicene comprises dispersive bands with Dirac cones and (nearly) flat bands. The algebraic formulation enables us to pin point an important difference from 3D, where the dipersive bands with cones are sandwiched by doubly-degenerate flat ones, that in 2D the dipersive bands with cones are sandwiched by triply-degenerate and non-degenerate (nearly) flat bands, which is consistent with the original band calculation by Takeda and Shiraishi. For the band engineering the bonds perpendicular to the atomic plane are crucial. A ferromagnetism is expected if we can shift the chemical potential close to the flat bands.
  • Source
    Yasuhiro Hatsugai, Tohru Kawarabayashi, Hideo Aoki
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    ABSTRACT: Anomalously sharp (delta-function-like) $n=0$ Landau level in the presence of disorder is usually considered to be a manifestation of the massless Dirac fermions in magnetic fields. This property persists even when the Dirac cone is tilted, which has been shown by Kawarabayashi et al. [Phys. Rev. B {\bf 83}, 153414 (2011)] to be a consequence of a "generalized chiral symmetry". Here we pose a question whether this property will be washed out when the tilted Dirac fermion becomes massive. Surprisingly, while the massive case with split $n=0$ Landau levels may seem to degrade the anomalous sharpness, the levels do remain delta-function-like. This has been shown analytically in terms of the Aharonov-Casher argument extended to the massive tilted Dirac ferimions. A key observation is that the conventional and generalized chiral operators are related with each other via a non-unitary transformation, with which the split, nonzero-energy $n=0$ wave functions of the massive system can be identified as a gauge-transformed zero-mode wave functions of the massless system. This is confirmed from a numerical result for a model tight-binding system. A message is that the chiral symmetry, rather than a simpler notion of the sublattice symmetry, is essential for the robustness of the $n=0$ Landau level, which is why the chiral symmetry remains applicable even to massive case.
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    Takahiro Fukui, Yasuhiro Hatsugai
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    ABSTRACT: If an extensive partition in two dimensions yields a gapful entanglement spectrum of the reduced density matrix, the Berry curvature based on the corresponding entanglement eigenfunction defines the Chern number. We propose such an entanglement Chern number as a useful, natural, and calculable topological invariant, which is potentially relevant to various kinds of topological ground states. We show that it serves as an alternative topological invariant for time reversal invariant systems, and as a new topological invariant for a weak topological phase of a superlattice Wilson-Dirac model. In principle, the entanglement Chern number can be also effective for interacting systems such as topological insulators in contrast to the $Z_2$ invariants.
    Journal of the Physical Society of Japan 08/2014; 83(11). DOI:10.7566/JPSJ.83.113705 · 1.48 Impact Factor
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    ABSTRACT: We propose classification schemes for characterizing two-dimensional topological phases with nontrivial weak indices. Here, "weak" implies that the Chern number in the corresponding phase is trivial, while the system shows edge states along specific boundaries. As concrete examples, we analyze different versions of the so-called Wilson-Dirac model with (i) anisotropic Wilson terms, (ii) next nearest neighbor hopping terms, and (iii) a superlattice generalization of the model, here in the tight-binding implementation. For types (i) and (ii) a graphic classification of strong properties is successfully generalized for classifying weak properties. As for type (iii), weak properties are attributed to quantized Berry phase pi along a Wilson loop.
    Physical Review B 05/2014; 90(15). DOI:10.1103/PhysRevB.90.155443 · 3.66 Impact Factor
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    Toshikaze Kariyado, Yasuhiro Hatsugai
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    ABSTRACT: Symmetry protected quantization of the Berry phase is discussed in relation to edge states. Assuming an existence of some adiabatic process which protects quantization of the Berry phase, non trivial Berry phase $\gamma=\pm 2\pi\rho$ ($\rho$ is a local filling of particles) for the bulk suggests appearance of edge states with boundaries. We have applied this generic consideration for Bloch states of some two dimensional model with massless Dirac fermions where $\gamma=\pm\pi/2$ implies the edge states. Entanglement entropy is evaluated for the models and its relation to the bulk-edge correspondence of Dirac fermions is discussed as well.
    Physical Review B 04/2014; 90(8). DOI:10.1103/PhysRevB.90.085132 · 3.66 Impact Factor
  • Proceedings of the 12th Asia Pacific Physics Conference (APPC12); 03/2014
  • Toshikaze Kariyado, Yasuhiro Hatsugai
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    ABSTRACT: Electronic structure of fermionic Shastry–Sutherland model, which is recently revealed to have a rich phase diagram, is investigated further in detail. We find that if the spin–orbit coupling exists, the quantum spin Hall insulator phase is also possible, in addition to the phases discovered in the previous study. Furthermore, first-principles calculation is performed for an existing material SrCu2(BO3)2 that has Shastry–Sutherland type lattice network, and the obtained results confirm those established with the tight-binding model.
    Proceedings of the 12th Asia Pacific Physics Conference (APPC12); 03/2014
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    Toshikaze Kariyado, Yasuhiro Hatsugai
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    ABSTRACT: The fermionic Shastry-Sutherland model has a rich phase diagram, including phases with massless Dirac fermions, a quadratic band crossing point, and a pseudospin-1 Weyl fermion. Berry phases defined by the one-dimensional momentum as a parameter are quantized into 0 or pi due to the inversion symmetry combined with the time reversal, or existence of the glide plane, which also protects the massless Dirac cones with continuous parameters. This is the symmetry protected Z2 quantization. We have further demonstrated the Z2 Berry phases generically determine the existence of edge states in various phases and with different types of the boundaries as the bulk-edge correspondence of the massless Dirac fermion systems.
    Physical Review B 07/2013; 88(24). DOI:10.1103/PhysRevB.88.245126 · 3.66 Impact Factor
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    Takahiro Fukui, K. -I. Imura, Yasuhiro Hatsugai
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    ABSTRACT: We explore novel topological phases realized in a superlattice system based on the Wilson-Dirac model. Our main focus is on a two-dimensional analogue of weak topological insulator phases. We find such phases as those characterized by gapless edge states that are protected by symmetry but sensitive to the orientation of the edge relative to the superlattice structure. We show that manifest and hidden reflection symmetries protect such weak topological phases, and propose bulk Z2 indices responsible for the topological protection of the edge states.
    Journal of the Physical Society of Japan 04/2013; 82(7). DOI:10.7566/JPSJ.82.073708 · 1.48 Impact Factor
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    ABSTRACT: Classical and quantum dynamics are important limits for the understanding of the transport characteristics of interacting electrons in nanodevices. Here we apply an intermediate semiclassical approach to investigate the dynamics of two interacting electrons in a planar nanochannel as a function of Coulomb repulsion and electric field. We find that charge is mostly redistributed to the channel edges and that an electric field enhances the particle-like character of electrons. These results may have significant implications for the design and study of future nanodevices.
    Applied Physics Express 04/2013; 6(6). DOI:10.7567/APEX.6.065201 · 2.73 Impact Factor
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    ABSTRACT: Chiral symmetry, fundamental in the physics of graphene, guarantees the existence of topologically stable doubled Dirac cones and anomalous behaviors of the zero-energy Landau level in magnetic fields. Its crucial role, especially its manifestation in optical responses and many-body physics in graphene, is explained in this paper. We also give an overview of multilayer graphene from the viewpoint of the optical properties and their relation with chiral symmetry.
    New Journal of Physics 03/2013; 15(3):035023. DOI:10.1088/1367-2630/15/3/035023 · 3.67 Impact Factor
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    ABSTRACT: We study the transport dynamics of semiclassical electrons in graphene in the Klein tunneling regime by scattering wave packets off a potential step while taking the full graphene Hamiltonian into account. Besides establishing the basic transmission characteristics for zigzag and armchair step edges, our numerical simulation suggests that the wave packet dynamics is substantially affected by the Berry curvature, which induces lateral shifts near the step edge reminiscent of the Hall effect of light. This anomalous correction can be relevant for recent Klein tunneling experiments.
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    ABSTRACT: The effect of disorder on the Landau levels of massless Dirac fermions is examined for the cases with and without the fermion doubling. To tune the doubling a tight-binding model having a complex transfer integral is adopted to shift the energies of two Dirac cones, which is theoretically proposed earlier and realizable in cold atoms in an optical lattice. In the absence of the fermion doubling, the $n=0$ Landau level is shown to exhibit an anomalous sharpness even if the disorder is uncorrelated in space (i.e., large K-K' scattering). This anomaly occurs when the disorder respects the chiral symmetry of the Dirac cone.
    08/2012; DOI:10.1063/1.4848396
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    ABSTRACT: We investigate the time evolution simulation of the spin torque transfer based on the spin polarized electron wave packet in the impurity Anderson model. The time dependence of the spin expectation value of the local spin site can be interpreted in terms of two site electron problem. The high energy contribution such as charge fluctuation appears in the dynamics of the spin torque transfer.
    Journal of the Physical Society of Japan 04/2012; 81(4):4706-. DOI:10.1143/JPSJ.81.044706 · 1.48 Impact Factor
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    ABSTRACT: We investigated multi-electron wave packet dynamics considering Coulomb interaction under applied electric field by solving the time-dependent Hartree-Fock equation. We confirm that the Coulomb interaction works to prolong the lifetime of the wave packets. Moreover, we find that the applied electric field also prolongs the wave packet lifetime. This indicates that the particle nature of electrons will be dominant in future nanodevices under high electric field. (C) 2012 The Japan Society of Applied Physics
    Japanese Journal of Applied Physics 02/2012; 51(2). DOI:10.1143/JJAP.51.02BJ01 · 1.06 Impact Factor
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    ABSTRACT: We have theoretically investigated the wave packet dynamics method for the write characteristics of the nanoscale magnetic tunnel junction with synthetic ferrimagnets based on the microscopic quantum electron model. In this study, we have performed numerical simulation of two bands tight binding electron model. In order to take into account the electron--electron correlation, we consider the on-site Coulomb interaction, Hund exchange coupling and finite electric field. In our simulation, we employ the time dependent molecular field approximation. Based on the simulation using wave packets, we have clarified the role of ferrimagnet in the nanoscale magnetic tunnel junction.
    Japanese Journal of Applied Physics 02/2012; 51(2). DOI:10.1143/JJAP.51.02BM03 · 1.06 Impact Factor
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    Y. Hamamoto, Y. Hatsugai, H Aoki
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    ABSTRACT: We study a many-body ground state of graphene in perpendicular magnetic fields. Chiral symmetry in graphene enables us to determine the many-body ground state, which turns out to be a doubly degenerate chiral condensate for the half-filled (undoped) case. In the ground state a prominent charge accumulation emerges along zigzag edges. We also show that gapless excitations are absent despite the presence of the robust edge modes, which is consistent with the Chern number C = 0.
    Journal of Physics Conference Series 08/2011; DOI:10.1088/1742-6596/400/4/042015
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    Y. Hatsugai, I. Maruyama
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    ABSTRACT: Adiabatic $Z_Q$ invariants by quantized Berry phases are defined for gapped electronic systems in $d$-dimensions ($Q=d+1$). This series includes Polyacetylene, Kagome and Pyrochlore lattice respectively for $d=1,2$ and 3. The invariants are quantum $Q$-multimer order parameters to characterize the topological phase transitions by the multimerization. This fractional quantization is protected by the global $Z_Q$ equivalence. As for the chiral symmetric case, a topological form of the $Z_2$-invariant is explicitly given as well.
    EPL (Europhysics Letters) 09/2010; DOI:10.1209/0295-5075/95/20003 · 2.27 Impact Factor

Publication Stats

2k Citations
219.32 Total Impact Points

Institutions

  • 2008–2014
    • University of Tsukuba
      • Centre for Computational Sciences
      Tsukuba, Ibaraki, Japan
  • 1990–2007
    • The University of Tokyo
      • • Department of Applied Physics
      • • Institute for Solid State Physics
      Tokyo, Tokyo-to, Japan
  • 2006
    • Ibaraki University
      Mito-shi, Ibaraki, Japan
  • 1993–1998
    • Massachusetts Institute of Technology
      • Department of Physics
      Cambridge, Massachusetts, United States
    • University of California, Santa Barbara
      • Kavli Institute for Theoretical Physics
      Santa Barbara, California, United States