Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-08-27
J. Phys. Soc. Jpn. 68 (1999) 625
Physics
Condensed Matter
Statistical Mechanics
5 pages, 9 figures
Scientific paper
10.1143/JPSJ.68.625
The one dimensional $S=1/2$ Heisenberg model with dimerization ($1-j$) and quadrumerization ($\delta$) in the magnetic field is studied by means of the numerical exact diagonalization of finite size systems and the conformal field theory. It is found that the magnetization plateau at half of the saturation value exists for $\delta \neq 0$. For $\delta = 0$, this model is described by the conformal field theory with central charge $c=1$ at this value of magnetization. The critical exponent $\nu$ which characterizes the $\delta$-dependence of the width of the plateau is calculated using the level spectroscopy method. The $j$-dependence of the critical exponent $\nu$ is found to be non-monotonic and discontinuous at $j = 0$. The effective theory of the magnetization plateau is also presented for various limiting cases.
Chen Wei
Hida Kazuo
Nakano Hiroki
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