Quantum Fluctuations to Cause the Breakdown of the Spin-1 Haldane Phase
| dc.creator | Yamamoto, Shoji | |
| dc.date | 1997-11-12 | |
| dc.date.accessioned | 2026-07-07T03:09:26Z | |
| dc.date.available | 2026-07-07T03:09:26Z | |
| dc.description | Investigating quantum fluctuations in the ground states of S=1 quantum antiferromagnetic spin chains described by the bilinear-biquadratic Hamiltonian, we study a mechanism of the breakdown of the Haldane phase. Based on the valence-bond-solid structure, but replacing two links of them by triplet bonds (crackions), we construct a trial wave function which is singlet and translationally invariant, where the crackion-crackion distance is regarded as a variational parameter. At $β<1/3$, the minimization of the variational energy results in a bound state of crackions, while at $β>1/3$, crackions come to be set free from their bound state with increase of $β$ and the chain length. We point out that the breakdown of the Haldane phase with $β$ approaching 1 can be attributed to the collapse of the bound state and the growth of a short-range repulsive interaction between crackions. | |
| dc.description | 7 pages, 8 postscript figures, RevTex | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9711101 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9711101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27882 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Quantum Fluctuations to Cause the Breakdown of the Spin-1 Haldane Phase | |
| dc.type | text |