Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2001-07-05
Phys. Rev. B 65, 014407 (2002)
Physics
Condensed Matter
Strongly Correlated Electrons
9 pages including 13 figures
Scientific paper
10.1103/PhysRevB.65.014407
The S=1/2 and S=1 two-dimensional quantum Heisenberg antiferromagnets on the anisotropic dimerized square lattice are investigated by the quantum Monte Carlo method. By finite-size-scaling analyses on the correlation lengths, the ground-state phase diagram parametrized by strengths of the dimerization and of the spatial anisotropy is determined much more accurately than the previous works. It is confirmed that the quantum critical phenomena on the phase boundaries belong to the same universality class as that of the classical three-dimensional Heisenberg model. Furthermore, for S=1, we show that all the spin-gapped phases, such as the Haldane and dimer phases, are adiabatically connected in the extended parameter space, though they are classified into different classes in terms of the string order parameter in the one-dimensional, i.e., the zero-interchain-coupling, case.
Matsumoto Munehisa
Takayama Hajime
Todo Synge
Yasuda Chitoshi
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