Theory of a spherical-quantum-rotors model: Low-temperature regime and finite-size scaling
| Autor: | N. S. Tonchev, E. S. Pisanova, Hassan Chamati |
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| Rok vydání: | 1998 |
| Předmět: | |
| Zdroj: | Physical Review B. 57:5798-5811 |
| ISSN: | 1095-3795 0163-1829 |
| DOI: | 10.1103/physrevb.57.5798 |
| Popis: | 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 Comment: 33pages, revtex+epsf, 3ps figures included submitted to PRB |
| Databáze: | OpenAIRE |
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