22 citations · 112 across the 34 of their papers we have counts for
5 papers · 2 filters
Nagaoka's theorem in the Holstein-Hubbard model
Tadahiro Miyao
Nagaoka's theorem on ferromagnetism in the Hubbard model is extended to the Holstein-Hubbard model. This shows that Nagaoka's ferromagnetism is stable even if the electron-phonon i…
Ground state properties of the Holstein-Hubbard model
Tadahiro Miyao
We study the ground state properties of the Holstein-Hubbard model on some bipartite lattices at half-filling; The ground state is proved to exhibit ferrimagnetism whenever the ele…
Correlation inequalities for Schrödinger operators
Tadahiro Miyao
This paper analyzes Schödinger operators from viewpoint of correlation inequalities. We construct Griffiths inequalities for the ground state expectations by applying operator-theo…
Existence of charge-density waves in two-dimensional ionic Hubbard model
Tadahiro Miyao
We rigorously investigated the charge-charge correlation function of the ionic Hubbard model in two dimensions by reflection positivity. We prove the existence of charge-density wa…
Long-range charge order in the extended Holstein--Hubbard model
Tadahiro Miyao
This study investigated the extended Holstein--Hubbard model at half-filling as a model for describing interplay of the electron-electron and electron-phonon couplings. When the el…