62 citations
5 papers
Similarity and Dissimilarity between Influences of Anchoring Walls and of External Fields on Nematic and Smectic A Phases
M. Torikai, M. Yamashita
The McMillan liquid crystalline models under the influence of homeotropic anchoring walls and of external fields are investigated. For thin systems, the existence of the critical t…
Infinitesimal Fourier Transformation for The Space of Functionals
Takashi Nitta, Tomoko Okada
The purpose is to formulate a Fourier transformation for the space of functionals, as an infinitesimal meaning. We extend to under the base of…
The polynomial part of a restricted partition function related to the Frobenius problem
Matthias Beck, Ira M. Gessel, Takao Komatsu
Given a set of positive integers A = {a_1,...,a_n}, we study the number p_A (t) of nonnegative integer solutions (m_1,...,m_n) to m_1 a_1 + ... m_n a_n = t. We derive an explicit f…
Nonlinear Sigma model method for the J1-J2 Heisenberg model: disordered ground state with plaquette symmetry
Ken'ichi Takano, Yoshiya Kito, Yoshiaki Ono +1
A novel nonlinear sigma model method is proposed for the two-dimensional J1-J2 model, which is extended to include plaquette-type distortion. The nonlinear sigma model is properly…
Magnetism and Superconductivity in a Two-band Hubbard Model in Infinite Dimensions
Y. Ono, K. Sano
We study a two-band Hubbard model using the dynamical mean-field theory combined with the exact diagonalization method. At the electron density , a transition from a band-insu…