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Physics Letters A

Quantum fluctuations in the ground state of the S = 1 antiferromagnetic Heisenberg chain

Shoji Yamamoto

Published Jan 1, 1997• 9 citations
Publisher
DOI
10.1016/s0375-9601(96)00858-4

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The ground state of the spin-1/2 Ising–Heisenberg distorted diamond chain in the presence of an external magnetic field is investigated in the case of the ferromagnetic Ising and antiferromagnetic XXZ Heisenberg interactions, that exhibits a geometric frustration of spins. The influence of the quantum fluctuations, the magnetic field, and the distortion on the ground state are studied in detail. It is established that the zero-temperature magnetization curve may show intermediate plateaus at zero and one-third of the saturation magnetization.
Ground state of the mixed spin-(1,1/2) Ising-Heisenberg distorted diamond chain in the presence of the external magnetic field is rigorously studied in the frustrated case of ferromagnetic Ising and antiferromagnetic XXZ Heisenberg interactions.The influence of quantum fluctuations, magnetic field, and the distortion of diamond cells on the ground state are examined in detail.It is established that the zero-temperature magnetization curve may show intermediate plateaus at zero and one-half of the saturation magnetization.
We study the spin-1 antiferromagnetic Heisenberg chain under the three boundary conditions, which are the free, periodic and antiperiodic boundary conditions, by numerical diagonalization up to 16 sites. We checked that the lowest excitation caused by the domain wall, which is imposed by the boundary condition and breaks the long-range string order, yields the same energy gap under all the boundary conditions in the infinite length limit. It is also found that the ground state and the first excited state have the same density (about 3%) of domain walls due to the quantum fluctuation which reduces the string order parameter about 10% smaller than that of the VBS model in the ground state. The analysis of the mean distance between two domain walls suggests that domain walls due to the quantum fluctuation form a bound state in pairs and does not break the long-range string order.