Abstract
Ground-state phase diagram and low-lying excitation spectrum of the one-dimensional S=1 anisotropic Heisenberg antiferromagnetic chain with nearest neighbor and next nearest neighbor interactions are studied by means of an approximate mapping of the original S=1 spin Hamiltonian to the effective fermion Hamiltonian, which describes the dynamics of spin zero defects in antiferromagnetic environments (domain walls in the Néel state). We find that the frustration due to the next nearest neighbor interactions works cooperatively with quantum fluctuation in the Haldane state and stabilizes it. This is naturally explained in terms of the spin zero defect. In addition, we discuss characteristic features of the excitation spectrum in connection with its ground-state properties.
| Original language | English |
|---|---|
| Pages (from-to) | 3694-3701 |
| Number of pages | 8 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 62 |
| Issue number | 10 |
| Publication status | Published - Oct 1993 |
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Keywords
- Competing interactions
- Domain wall
- Haldane state
- Spin zero defect
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Frustration and quantum fluctuation in spin-1 antiferromagnetic chains with competing interactions. / Harada, Isao; Fujikawa, Mutsuko; Mannari, Isao.
In: Journal of the Physical Society of Japan, Vol. 62, No. 10, 10.1993, p. 3694-3701.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Frustration and quantum fluctuation in spin-1 antiferromagnetic chains with competing interactions
AU - Harada, Isao
AU - Fujikawa, Mutsuko
AU - Mannari, Isao
PY - 1993/10
Y1 - 1993/10
N2 - Ground-state phase diagram and low-lying excitation spectrum of the one-dimensional S=1 anisotropic Heisenberg antiferromagnetic chain with nearest neighbor and next nearest neighbor interactions are studied by means of an approximate mapping of the original S=1 spin Hamiltonian to the effective fermion Hamiltonian, which describes the dynamics of spin zero defects in antiferromagnetic environments (domain walls in the Néel state). We find that the frustration due to the next nearest neighbor interactions works cooperatively with quantum fluctuation in the Haldane state and stabilizes it. This is naturally explained in terms of the spin zero defect. In addition, we discuss characteristic features of the excitation spectrum in connection with its ground-state properties.
AB - Ground-state phase diagram and low-lying excitation spectrum of the one-dimensional S=1 anisotropic Heisenberg antiferromagnetic chain with nearest neighbor and next nearest neighbor interactions are studied by means of an approximate mapping of the original S=1 spin Hamiltonian to the effective fermion Hamiltonian, which describes the dynamics of spin zero defects in antiferromagnetic environments (domain walls in the Néel state). We find that the frustration due to the next nearest neighbor interactions works cooperatively with quantum fluctuation in the Haldane state and stabilizes it. This is naturally explained in terms of the spin zero defect. In addition, we discuss characteristic features of the excitation spectrum in connection with its ground-state properties.
KW - Competing interactions
KW - Domain wall
KW - Haldane state
KW - Spin zero defect
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UR - http://www.scopus.com/inward/citedby.url?scp=21344493181&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:21344493181
VL - 62
SP - 3694
EP - 3701
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 10
ER -