121 citations · 1.2k across the 51 of their papers we have counts for
52 papers
Emergent Shastry-Sutherland network from square-kagome Heisenberg antiferromagnet with trimerization
Tomonari Mizoguchi
We study the square-kagome lattice Heisenberg antiferromagnet with the trimarized modulation. In the trimerized limit, each trimer hosts the four-fold degenearte ground sta…
Quasi-periodic flat-band model constructed by molecular-orbital representation
Tomonari Mizoguchi, Yasuhiro Hatsugai
We construct a tight-binding model that hosts both a quasi-periodic nature and marcoscopically-dengenerate zero-energy modes. The model can be regarded as a counterpart of the Aubr…
Topological two-body interaction obstructing trivial ground states: an indicator of fractional Chern insulators
Nobuyuki Okuma, Tomonari Mizoguchi
The search for candidate materials for fractional Chern insulators (FCIs) has mainly focused on the topological and geometrical structures of single-particle Chern bands. However,…
Topological pump and its plateau transitions of -leg spin ladder
Kota Yamamoto, Yoshihito Kuno, Tomonari Mizoguchi +2
A topological pump on an leg spin ladder is discussed by introducing spatial clusterization whose adiabatic limit is a set of site staircase clusters. We…
Evolution of flat bands in two-dimensional fused pentagon network
Tomonari Mizoguchi, Mina Maruyama, Yasuhiro Hatsugai +1
Theoretical quest of flat-band tight-binding models usually relies on lattice structures on which electrons reside. Typical examples of candidate lattice structures include the Lie…
Hidden chiral symmetry for kagome lattice and its analogs
Tomonari Mizoguchi, Yasuhiro Hatsugai
Chiral symmetry plays an essential role in condensed matter physics. In tight-binding models, it is often attributed to bipartite lattice structures, and its typical consequence is…
On equivalence of two formulas of orbital magnetic susceptibility for tight-binding models
Tomonari Mizoguchi, Nobuyuki Okuma
We prove that two formulas of the orbital magnetic susceptibility, namely, Koshino-Ando's formula and Gómez-Santos and Stauber's formula, are equivalent for the tight-binding model…
Blocking particle dynamics in diamond chain with spatially increasing flux
Tomonari Mizoguchi, Yoshihito Kuno, Yasuhiro Hatsugai
Spatial non-uniformity in tight-binding models serves as a source of rich phenomena. In this paper, we study a diamond-chain tight-binding model with a spatially-modulated magnetic…
Relationship between two-particle topology and fractional Chern insulator
Nobuyuki Okuma, Tomonari Mizoguchi
Lattice generalizations of fractional quantum Hall (FQH) systems, called fractional Chern insulators (FCIs), have been extensively investigated in strongly correlated systems. Desp…
Unconventional gapless semiconductor in an extended martini lattice in covalent honeycomb materials
Tomonari Mizoguchi, Yanlin Gao, Mina Maruyama +2
We study characteristic electronic structures in an extended martini lattice model and propose its materialization in -electron networks constructed by designated chemisorption…
Molecular-orbital representation with random U(1) variables
Tomonari Mizoguchi, Yasuhiro Hatsugai
We propose random tight-binding models that host macroscopically degenerate zero energy modes and belong to the unitary class. Specifically, we employ the molecular-orbital represe…
Higher-Order Topological Insulator on a Martini Lattice and Its Square Root Descendant
Daiki Matsumoto, Tomonari Mizoguchi, Yasuhiro Hatsugai
Notion of square-root topological insulators have been recently generalized to higher-order topological insulators. In two-dimensional square-root higher-order topological insulato…
Machine Learning Study on the Flat-Band States Constructed by Molecular-Orbital Representation with Randomness
Takumi Kuroda, Tomonari Mizoguchi, Hiromu Araki +1
We study the characteristic probability density distribution of random flat band models by machine learning. The models considered here are constructed on the basis of the molecula…
Competition of First-Order and Second-Order Topology on the Honeycomb Lattice
Matthew Bunney, Tomonari Mizoguchi, Yasuhiro Hatsugai +1
We investigate both first-order topology, as realized through Haldane's model, and second-order topology, implemented through an additional Kekulé-distortion, on the honeycomb latt…
Non-Hermitian topology in rock-paper-scissors games
Tsuneya Yoshida, Tomonari Mizoguchi, Yasuhiro Hatsugai
Non-Hermitian topology is a recent hot topic in condensed matters. In this paper, we propose a novel platform drawing interdisciplinary attention: rock-paper-scissors (RPS) cycles…
Construction of interacting flat-band models by molecular-orbital representation: Correlation functions, energy gap, and entanglement
Tomonari Mizoguchi, Yoshihito Kuno, Yasuhiro Hatsugai
We calculate correlation functions of exactly-solvable one-dimensional flat-band models by utilizing the "molecular-orbital" representation. The models considered in this paper hav…
Thermoelectric transport of type-I, II, and III massless Dirac fermions in two-dimensional lattice model
Tomonari Mizoguchi, Hiroyasu Matsuura, Masao Ogata
We study longitudinal electric and thermoelectric transport coefficients of Dirac fermions on a simple lattice model where tuning of a single parameter enables us to change the typ…
Multiple quantum scar states and emergent slow-thermalization in the flat-band system
Yoshihito Kuno, Tomonari Mizoguchi, Yasuhiro Hatsugai
Quantum many-body scars (QMBS) appear in a flat-band model with interactions on the saw-tooth lattice. The flat-band model includes a compact support localized eigenstates, called…
Square-root topological phase with time-reversal and particle-hole symmetry
Tsuneya Yoshida, Tomonari Mizoguchi, Yoshihito Kuno +1
Square-root topological phases have been discussed mainly for systems with chiral symmetry. In this paper, we analyze the topology of the squared Hamiltonian for systems preserving…
Flat-band solutions in -dimensional decorated diamond and pyrochlore lattices: Reduction to molecular problem
Tomonari Mizoguchi, Hosho Katsura, Isao Maruyama +1
Flat-band models have been of particular interest from both fundamental aspects and realization in materials. Beyond the canonical examples such as Lieb lattices and line graphs, a…
Flat band, spin-1 Dirac cone, and Hofstadter diagram in the fermionic square kagome model
Tomonari Mizoguchi, Yoshihito Kuno, Yasuhiro Hatsugai
We study characteristic band structures of the fermions on a square kagome lattice, one of the two-dimensional lattices hosting a corner-sharing network of triangles. We show that…
Chiral edge modes in evolutionary game theory: a kagome network of rock-paper-scissors
Tsuneya Yoshida, Tomonari Mizoguchi, Yasuhiro Hatsugai
We theoretically demonstrate the realization of a chiral edge mode in a system beyond natural science. Specifically, we elucidate that a kagome network of rock-paper-scissors (K-RP…
Bulk-edge correspondence in two-dimensional topological semimetals: A transfer matrix study of antichiral edge modes
Tomonari Mizoguchi, Tohru Koma
We study edge modes in topological semimetals which have an energy band structure of ordinary semimetals but can be characterized by a Chern number. More specifically, we focus on…
Flat Band Quantum Scar
Yoshihito Kuno, Tomonari Mizoguchi, Yasuhiro Hatsugai
We show that a quantum scar state, an atypical eigenstate breaking eigenstate thermalization hypothesis embedded in a many-body energy spectrum, can be constructed in flat band sys…