Abstract
A real-space renormalization-group method well suited for studying phase transitions at T = 0 in quantum systems is presented and applied to a generalized spin 1/2 planar hamiltonian on the triangular lattice, which includes ferromagnetic and anti-ferromagnetic XY models as limiting cases. This provides a description of the effects of frustration in quantum systems.
Supported by the Deutsche Forschungsgemeinschaft Bonn.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Suzuki, Prog. Theor. Phys. 46, 1337 (1971);
M. Suzuki, Prog. Theor. Phys. 56,1454 (1976)
C. J. Thompson, in “Phase transitions and critical phenomena”, vol. I, C. Domb and M. S. Green ed. Academic Press, 1972
S. D. Drell, M. Weinstein and S. Yankielovicz, Phys. Rev. D 14 487 (1976);
S. D. Drell, M. Weinstein and S. Yankielovicz, Phys. Rev. D 14, 1628 (1976);
S. D. Drell, M. Weinstein and S. Yankielovicz, Phys. Rev. D 16, 1769 (1977) S. D. Drell;
M. Svetitsky and M. Weinstein, Phys. Rev. D 17, 523 (1978)
S. D. Drell and M. Weinstein, Phys. Rev. D 17, 3203 (1978)
K. G. Wilson, Rev. Mod. Phys. 47, 773 (1975)
R. Jullien, J. N. Fields and S. Doniach, Phys. Rev. Lett. 38, 1500 (1977);
R. Jullien, J. N. Fields and S. Doniach, Phys. Rev. B 16, 4889 (1977)
R. Jullien, P. Pfeuty, J. N. Fields and S. Doniach, Phys. Rev. B 18, 3568 (1978)
K. A. Penson, R. Jullien and P. Pfeuty, Phys. Rev. B 19, 4653 (1979)
K. A. Penson, R. Jullien and P. Pfeuty, J. Phys. C 12, 3967 (1979)
R. Jullien, K. A. Penson and P. Pfeuty, J. Physique (France) 40, L 237 (1979)
R. Jullien and P. Pfeuty, Phys. Rev. B 19, 4646 (1979)
K. A. Penson, R. Jullien and P. Pfeuty, Phys. Rev. B (1980)
K. Uzelac, K. A. Penson, R. Jullien and P. Pfeuty, J. Phys. A 12, L 295 (1979)
K. Uzelac, P. Pfeuty and R. Jullien, Phys. Rev. Lett. 43, 805 (1979), K. Uzelac, R. Jullien and P. Pfeuty, Phys. Rev. B (1980) K. Uzelac, R. Jullien, P. Moussa and P. Pfeuty, this conference
R. Jullien, P. Pfeuty, A. K. Bhattacharjee and B. Coqblin, J. of Applied Phys. 50, 7555 (1979)
P. Pfeuty, R. Jullien and K. A. Penson, in preparation
R. Jullien, K. A. Penson, P. Pfeuty and K. Uzelac, Phys. Rev. Lett, to be published.
L. G. Marland and D. D. Betts, Phys. Rev. Lett. 43, 1618 (1979)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Penson, K.A., Jullien, R., Pfeuty, P., Uzelac, K. (1981). Real-Space Renormalization-Group Method for Quantum Systems: Application to Quantum Frustration in Two Dimensions. In: Della Dora, J., Demongeot, J., Lacolle, B. (eds) Numerical Methods in the Study of Critical Phenomena. Springer Series in Synergetics, vol 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81703-8_21
Download citation
DOI: https://doi.org/10.1007/978-3-642-81703-8_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81705-2
Online ISBN: 978-3-642-81703-8
eBook Packages: Springer Book Archive