Theory of a spherical quantum rotors model: low--temperature regime and finite-size scaling

Details Theory of a spherical quantum rotors model: low--temperature regime and finite-size scaling Theory of a spherical quantum rotors model: low--temperature regime and finite-size scaling

1997-01-22

arxiv.org/abs/cond-mat/9701159v2

Physics

Condensed Matter

33pages, revtex+epsf, 3ps figures included submitted to PRB

Scientific paper

10.1103/PhysRevB.57.5798

The quantum rotors model can be regarded as an effective model for the low-temperature behavior of the quantum Heisenberg antiferromagnets. Here, we consider a $d$-dimensional model in the spherical approximation confined to a general geometry of the form $L^{d-d'}\times\infty^{d'}\times L_{\tau}^{z}$ ( $L$-linear space size and $L_{\tau}$-temporal size) and subjected to periodic boundary conditions. Due to the remarkable opportunity it offers for rigorous study of finite-size effects at arbitrary dimensionality this model may play the same role in quantum critical phenomena as the popular Berlin-Kac spherical model in classical critical phenomena. Close to the zero-temperature quantum critical point, the ideas of finite-size scaling are utilized to the fullest extent for studying the critical behavior of the model. For different dimensions $1

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