Abstract
The S=1/2 antiferromagnetic Heisenberg model on multi-leg ladders is investigated. Criticality of the ground-state transition is explored by means of finite-size scaling. The ladders with an even number of legs and those with an odd number of legs are distinguished clearly. In the former, the energy gap opens up as Delta E approximately Jperpendicular to, where J perpendicular to is the strength of the antiferromagnetic inter-chain coupling. In the latter, the critical phase with the central charge c=1 extends over the whole region of J perpendicular to >0.
| Original language | English |
|---|---|
| Article number | 012 |
| Pages (from-to) | 3911-3923 |
| Number of pages | 13 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 28 |
| Issue number | 14 |
| DOIs | |
| Publication status | Published - 1995 |
| Externally published | Yes |
Fingerprint
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics
Cite this
Scaling theory of antiferromagnetic Heisenberg ladder models. / Hatano, N.; Nishiyama, Yoshihiro.
In: Journal of Physics A: Mathematical and General, Vol. 28, No. 14, 012, 1995, p. 3911-3923.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Scaling theory of antiferromagnetic Heisenberg ladder models
AU - Hatano, N.
AU - Nishiyama, Yoshihiro
PY - 1995
Y1 - 1995
N2 - The S=1/2 antiferromagnetic Heisenberg model on multi-leg ladders is investigated. Criticality of the ground-state transition is explored by means of finite-size scaling. The ladders with an even number of legs and those with an odd number of legs are distinguished clearly. In the former, the energy gap opens up as Delta E approximately Jperpendicular to, where J perpendicular to is the strength of the antiferromagnetic inter-chain coupling. In the latter, the critical phase with the central charge c=1 extends over the whole region of J perpendicular to >0.
AB - The S=1/2 antiferromagnetic Heisenberg model on multi-leg ladders is investigated. Criticality of the ground-state transition is explored by means of finite-size scaling. The ladders with an even number of legs and those with an odd number of legs are distinguished clearly. In the former, the energy gap opens up as Delta E approximately Jperpendicular to, where J perpendicular to is the strength of the antiferromagnetic inter-chain coupling. In the latter, the critical phase with the central charge c=1 extends over the whole region of J perpendicular to >0.
UR - http://www.scopus.com/inward/record.url?scp=21844481060&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=21844481060&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/28/14/012
DO - 10.1088/0305-4470/28/14/012
M3 - Article
VL - 28
SP - 3911
EP - 3923
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 14
M1 - 012
ER -