Haldane Gap in the Spin-1/2 Double Chain Heisenberg Antiferromagnet —Numerical Diagonalization and Projector Monte Carlo Study—

抄録

The properties of the spin-1/2 double chain Heisenberg antiferromagnet are studied by means of the numerical diagonalization and the projector Monte Carlo simulation. The model consists of the two spin 1/2 antiferromagnetic quantum Heisenberg chains coupled with each other via the ferromagnetic interchain coupling J′. It is shown that the first excited state has a gap for large enough J′. This gap continues to the Haldane gap in the limit J′→∞, where spins on the different chains form triplets on each site. On the other hand, the gap decreases rapidly between J′=1.0 and 0.6 and is undetectable for J′<0.6 within the present accuracy.