Random-exchange quantum Heisenberg antiferromagnets on a square lattice
作者： Nicolas Laflorencie , Stefan Wessel , Andreas Läuchli , Heiko Rieger
DOI: 10.1103/PHYSREVB.73.060403
关键词:
摘要: The ground state properties of random-exchange spin-$\frac{1}{2}$ Heisenberg antiferromagnets (AFM) on a square lattice are investigated using combination quantum Monte Carlo simulations, exact numerical diagonalizations, and spin wave calculations. Whereas arbirarily weak disorder has drastic effect one-dimensional AFM, we find that in two dimensions the characteristics such as long-range order is robust even against strong disorder. While antiferromagnetic parameter stiffness exponentially reduced for singular exchange distributions, they vanish only limit infinite randomness.
harvard.edu
arxiv.org
sci-hub.se 参考文章(39)
Naoki Kawashima, Hajime Takayama, Synge Todo, Reply: Todo, Takayama, and Kawashima The American Physical Society. ,(2001) , 10.17877/DE290R-2114
Sudip Chakravarty, Bertrand I. Halperin, David R. Nelson, Two-dimensional quantum Heisenberg antiferromagnet at low temperatures. Physical Review B. ,vol. 39, pp. 2344- 2371 ,(1989) , 10.1103/PHYSREVB.39.2344
Anders W. Sandvik, Marco Vekić, Disorder induced phase transition in a two-dimensional random quantum antiferromagnet. Physical Review Letters. ,vol. 74, pp. 1226- 1229 ,(1995) , 10.1103/PHYSREVLETT.74.1226
Synge Todo, Hajime Takayama, Naoki Kawashima, Todo, Takayama, and Kawashima Reply: Physical Review Letters. ,vol. 86, pp. 3210- 3210 ,(2001) , 10.1103/PHYSREVLETT.86.3210
R. J. Birgeneau, M. Greven, M. A. Kastner, Y. S. Lee, B. O. Wells, Y. Endoh, K. Yamada, G. Shirane, Instantaneous spin correlations in La 2 CuO 4 Physical Review B. ,vol. 59, pp. 13788- 13794 ,(1999) , 10.1103/PHYSREVB.59.13788
Olav F. Syljuåsen, Anders W. Sandvik, Quantum Monte Carlo with directed loops. Physical Review E. ,vol. 66, pp. 046701- ,(2002) , 10.1103/PHYSREVE.66.046701
Curtis A. Doty, Daniel S. Fisher, Effects of quenched disorder on spin-1/2 quantumXXZchains Physical Review B. ,vol. 45, pp. 2167- 2179 ,(1992) , 10.1103/PHYSREVB.45.2167
Olexei Motrunich, Siun-Chuon Mau, David A. Huse, Daniel S. Fisher, Infinite-randomness quantum Ising critical fixed points Physical Review B. ,vol. 61, pp. 1160- 1172 ,(2000) , 10.1103/PHYSREVB.61.1160
Anders W. Sandvik, Comment on "quantum phase transition of the randomly diluted Heisenberg antiferromagnet on a square lattice". Physical Review Letters. ,vol. 86, pp. 3209- 3209 ,(2001) , 10.1103/PHYSREVLETT.86.3209
Anders W. Sandvik, Finite-size scaling of the ground-state parameters of the two-dimensional Heisenberg model Physical Review B. ,vol. 56, pp. 11678- 11690 ,(1997) , 10.1103/PHYSREVB.56.11678