Work

From one to two dimensions in quantum spin systems

Year: 1998
Type: article
Abstract: We study the first derivative of the staggered magnetization squared ${\mathrm{dm}}^{\ifmmode\dagger\else\textdagger\fi{}}(\ensuremath{\theta}{)}^{2}/d\ensuremath{\theta}$ and the second derivative ${d}^{2}{e}_{0}(\ensuremath{\theta})/d{\ensuremath{\theta}}^{2}$ of the ground-state energy per site. The parameter \ensuremath{\theta} controls the anisotropy between horizontal and vertical couplings in a two-dimensional (2D) spin-$1/2$ antiferromagnetic Heisenberg model. It is shown that both derivatives diverge at $\ensuremath{\theta}=1,$ where the anisotropic 2D model reduces to the 1D model.
Language: English
Open Access status: green
OpenAlex ID: W2013569565
FWCI: 0.233
Cites: 21
Cited by: 3
Related to: 10