84 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Gakushuin UniversityJP5 papers
- Tohoku UniversityJP2 papers
- University of Pavol Jozef ŠafárikSK2 papers
- Advanced Institute of Materials ScienceJP1 paper
- Kavli Institute for Theoretical PhysicsUS1 paper
- Kumamoto UniversityJP1 paper
- National Academy of Sciences of UkraineUA1 paper
- RIKENJP1 paper
- RIKEN Advanced Science InstituteJP1 paper
- Rikkyo UniversityJP1 paper
- Technical University of KošiceSK1 paper
- The University of OsakaJP1 paper
14 papers
Skew Plücker Relations
Kazuya Aokage, Eriko Shinkawa, Hiro-Fumi Yamada
Schur functions satisfy the relative Plücker relations which describe the projective embedding of the flag varieties and the Hirota bilinear equations for the modified KP hierarchi…
Virasoro Action on the -Functions
Kazuya Aokage, Eriko Shinkawa, Hiro-Fumi Yamada
A formula for Schur -functions is presented which describes the action of the Virasoro operators. For a strict partition, we prove a concise formula for , where $L_{-…
Mott Insulator-like Bose-Einstein Condensation in a Tight-Binding System of Interacting Bosons with a Flat Band
Hosho Katsura, Naoki Kawashima, Satoshi Morita +2
We propose a new class of tight-binding systems of interacting bosons with a flat band, which are exactly solvable in the sense that one can explicitly write down the unique ground…
An extension of the cell-construction method for the flat-band ferromagnetism
Akinori Tanaka
We present an extension of the cell-construction method for the flat-band ferromagnetism. In a rather general setting, we construct Hubbard models with highly degenerate single-ele…
Ferromagnetism in the Hubbard model with a gapless nearly-flat band
Akinori Tanaka
We present a version of the Hubbard model with a gapless nearly-flat lowest band which exhibits ferromagnetism in two or more dimensions. The model is defined on a lattice obtained…
Metallic ferromagnetism supported by a single band in a multi-band Hubbard model
Akinori Tanaka, Hal Tasaki
We construct a multi-band Hubbard model on the lattice obtained by "decorating" a closely packed -dimensional lattice (such as the triangular lattice) where $d\ge2…
One-dimensional extended Hubbard model with spin-triplet pairing ground states
Akinori Tanaka
We show that the one-dimensional extended Hubbard model has saturated ferromagnetic ground states with the spin-triplet electron pair condensation in a certain range of parameters.…
Nagaoka states in the SU() Hubbard model
Hosho Katsura, Akinori Tanaka
We present an extension of Nagaoka's theorem in the SU() generalization of the infinite- Hubbard model. It is shown that, when there is exactly one hole, the fully polarized…
Exact evidence for the spontaneous antiferromagnetic long-range order in the two-dimensional hybrid model of localized Ising spins and itinerant electrons
Jozef Strecka, Akinori Tanaka, Lucia Canova +1
The generalized decoration-iteration transformation is adopted to treat exactly a hybrid model of doubly decorated two-dimensional lattices, which have localized Ising spins at the…
Phase transitions in exactly solvable decorated model of localized Ising spins and itinerant electrons
Jozef Strecka, Akinori Tanaka, Michal Jascur
A hybrid lattice-statistical model of doubly decorated two-dimensional lattices, which have localized Ising spins at its nodal sites and itinerant electrons delocalized over decora…
Ferromagnetism in the Hubbard model with Topological/Non-Topological Flat Bands
Hosho Katsura, Isao Maruyama, Akinori Tanaka +1
We introduce and study two classes of Hubbard models with magnetic flux or with spin-orbit coupling, which have a flat lowest band separated from other bands by a nonzero gap. We s…
Ferromagnetic Pairing States on Two-Coupled Chains
Akinori Tanaka
We propose a concrete model which exhibits ferromagnetism and electron-pair condensation simultaneously. The model is defined on two chains and consists of the electron hopping ter…
d-Wave Pairing State in Terms of the Zhang-Rice Singlets
Akinori Tanaka
In cuprate superconductors doping is believed to create holes on the O-sites, which couple antiferromagnetically with holes on the Cu-sites to form the so-called Zhang-Rice singlet…
Metallic ferromagnetism in the Hubbard model: A rigorous example
Akinori Tanaka, Hal Tasaki
We present the first rigorous example of the Hubbard model in any dimensions which exhibits metallic ferromagnetism. The model is a genuine Hubbard model with short-range hopping a…