Abstract
Effects of randomness on the spin-1/2 and 1 antiferromagnetic Heisenberg chains are studied using the quantum Monte Carlo method with the continuous-time loop algorithm. We precisely calculated the uniform susceptibility, string order parameter, spatial and temporal correlation length, and the dynamical exponent, and obtained a phase diagram. The generalization of the continuous-time loop algorithm for the systems with higher-S spins is also presented.
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
C. Dasgupta and S. K. Ma, Phys. Rev. B 22, 1305 (1979).
D. S. Fisher, Phys. Rev. B 50, 3799 (1994); B 51, 6411 (1995).
R. A. Hyman, K. Yang, R. N. Bhatt, and S. M. Girvin, Phys. Rev. Lett. 76 839 (1996). R. A. Hyman and K. Yang, Phys. Rev. Lett. 78 1783 (1997).
K. Hida, J. Phys. Soc. Jpn. 65, 895 (1996); 65, 3412 (1996); 66, 3237 (1997).
A. P. Young and H. Rieger, Phys. Rev. B 53, 8486 (1996). A.P. Young, preprint (cond-mat/9707060).
M. Suzuki, Quantum Monte Carlo Methods in Condensed Matter Physics (World Scientific, Singapore, 1994).
H. G. Evertz, G. Lana, M. Marcu, Phys. Rev. Lett. 70, 875 (1993).
U. J. Wiese and H. P. Ying, Z. Phys. B 93, 147 (1994).
B. B. Beard and U. J. Wiese, Phys. Rev. Lett. 77, 5131 (1996).
The continuous-time loop algorithm for the S=1 antiferromagnetic Heisenberg model has been proposed independently in Ref. 11, which is included in the present algorithm as a special case.
K. Harada, M. Troyer, and N. Kawashima, preprint (cond-mat/97122292).
N. Kawashima and J. E. Gubernatis, Phys. Rev. Lett. 73, 1295 (1994).
S. R. White, Phys. Rev. Lett. 69, 2863 (1992).
U. Schollwöck and T. Jolicceur, Europhys. Lett. 30, 493 (1995).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Todo, S., Kato, K., Takayama, H. (1999). Quantum Monte Carlo Study of Random Antiferromagnetic Heisenberg Chain. In: Landau, D.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XI. Springer Proceedings in Physics, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60095-1_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-60095-1_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64255-5
Online ISBN: 978-3-642-60095-1
eBook Packages: Springer Book Archive