Abstract
The ground-state properties of the one-dimensional isotropic spin-1/2 Heisenberg antiferromagnet with antiferromagnetic first- and second-neighbor exchange interactions are discussed. The ground-state energy, the singlet-triplet energy gap, the Néel correlation function, the dimer correlation function, and the magnetization are calculated exactly for finite-size systems up to 20 spins. By extrapolating these results, the values of the above quantities at the infinite-size limit are estimated. In particular, it is found that the limiting ground state is in the gapless or finite-gap phase depending on whether 0≦j≦jc or j>jc, where j is the ratio of the second- to the first-neighbor interaction constant and jc=0.30±0.01. Dimer long-range order does exist in the finite-gap phase and it does not in the gapless phase, while no Néel long-range order exists in both phases.
| Original language | English |
|---|---|
| Pages (from-to) | 2153-2167 |
| Number of pages | 15 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 56 |
| Issue number | 6 |
| Publication status | Published - Jun 1987 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Ground-state properties of the one-dimensional isotropic spin-1/2 Heisenberg antiferromagnet with competing interactions. / Tonegawa, Takashi; Harada, Isao.
In: Journal of the Physical Society of Japan, Vol. 56, No. 6, 06.1987, p. 2153-2167.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Ground-state properties of the one-dimensional isotropic spin-1/2 Heisenberg antiferromagnet with competing interactions
AU - Tonegawa, Takashi
AU - Harada, Isao
PY - 1987/6
Y1 - 1987/6
N2 - The ground-state properties of the one-dimensional isotropic spin-1/2 Heisenberg antiferromagnet with antiferromagnetic first- and second-neighbor exchange interactions are discussed. The ground-state energy, the singlet-triplet energy gap, the Néel correlation function, the dimer correlation function, and the magnetization are calculated exactly for finite-size systems up to 20 spins. By extrapolating these results, the values of the above quantities at the infinite-size limit are estimated. In particular, it is found that the limiting ground state is in the gapless or finite-gap phase depending on whether 0≦j≦jc or j>jc, where j is the ratio of the second- to the first-neighbor interaction constant and jc=0.30±0.01. Dimer long-range order does exist in the finite-gap phase and it does not in the gapless phase, while no Néel long-range order exists in both phases.
AB - The ground-state properties of the one-dimensional isotropic spin-1/2 Heisenberg antiferromagnet with antiferromagnetic first- and second-neighbor exchange interactions are discussed. The ground-state energy, the singlet-triplet energy gap, the Néel correlation function, the dimer correlation function, and the magnetization are calculated exactly for finite-size systems up to 20 spins. By extrapolating these results, the values of the above quantities at the infinite-size limit are estimated. In particular, it is found that the limiting ground state is in the gapless or finite-gap phase depending on whether 0≦j≦jc or j>jc, where j is the ratio of the second- to the first-neighbor interaction constant and jc=0.30±0.01. Dimer long-range order does exist in the finite-gap phase and it does not in the gapless phase, while no Néel long-range order exists in both phases.
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UR - http://www.scopus.com/inward/citedby.url?scp=0012284939&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0012284939
VL - 56
SP - 2153
EP - 2167
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 6
ER -