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Journal of the Physical Society of Japan

二次元Hubbard モデルの弱から強相関領域へのクロスオーバー ‐Hubbard モデルの対角線を離れた波動関数モンテカルロ研究 II‐

Yanagisawa Takashi

Published Jan 1, 2016• 0 citations
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Unusual properties of the Hubbard chain of arbitrary degeneracy N and excluded-site occupations of more than two electrons are presented: (i) In zero field and in the limit of large N the ground state resembles an interacting Bose gas. The 1/N contributions vanish identically, so that corrections to leading order are 1/N2{\mathrm{N}}^{2}N2. (ii) The susceptibility at T=0 shows logarithmic singularities as H\ensuremath{\rightarrow}0. (iii) The Hubbard model and the Heisenberg chain have the same low-energy spin excitations for all U. (iv) The specific-heat coefficient \ensuremath{\gamma} is singular. These properties hold for arbitrary band filling and (ii)--(iv) hold for all N\ensuremath{\ge}2.