40 citations
6 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_{-…
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…
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…
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…