Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2001-06-05
Phys. Rev. B 64, 224412 (2001)
Physics
Condensed Matter
Strongly Correlated Electrons
RevTeX, 10 pages, 9 figures
Scientific paper
10.1103/PhysRevB.64.224412
Ground-state properties of the spin-1 two-leg antiferromagnetic ladder are investigated precisely by means of the quantum Monte Carlo method. It is found that the correlation length along the chains and the spin gap both remain finite regardless of the strength of interchain coupling, i.e., the Haldane state and the spin-1 dimer state are connected smoothly without any quantum phase transitions between them. We propose a plaquette-singlet solid state, which qualitatively describes the ground state of the spin-1 ladder quite well, and also a corresponding topological hidden order parameter. It is shown numerically that the new hidden order parameter remains finite up to the dimer limit, though the conventional string order defined on each chain vanishes immediately when infinitesimal interchain coupling is introduced.
Matsumoto Munehisa
Takayama Hajime
Todo Synge
Yasuda Chitoshi
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