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Recent Progress in Many-Body Theories

Super-Effective-Field Cam Theory of Strongly Correlated Electron and Spin Systems

Masuo Suzuki

Published Jan 1, 1990• 3 citations
Publisher
DOI
10.1007/978-1-4615-3798-4_23

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Coherent-anomaly method in zero-temperature phase transitions in quantum spin systems

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A cluster-effective-field theory, called the double-cluster approximation, is formulated for quantum spin systems at T=0. Combining this approximation with the coherent-anomaly method (CAM), critical phenomena in such systems can be analysed. To test their theory, the authors have estimated the critical points and critical exponents of the one-dimensional S=1/2 transverse Ising model and the one-dimensional S=1/2 XZ model. The estimates are in good agreement with the exact solutions. These results show that the CAM approach is useful in treating zero-temperature phase transitions in quantum spin systems.

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Physical review. B, Condensed matter•Sep 1, 1991•1 citation
A cluster-effective-field theory, called the double-cluster approximation, is formulated for quantum spin systems at T=0. Combining this approximation with the coherent-anomaly method (CAM), critical phenomena in such systems can be analysed. To test their theory, the authors have estimated the critical points and critical exponents of the one-dimensional S=1/2 transverse Ising model and the one-dimensional S=1/2 XZ model. The estimates are in good agreement with the exact solutions. These results show that the CAM approach is useful in treating zero-temperature phase transitions in quantum spin systems.