Valence bond description of the long-range, nonfrustrated Heisenberg chain
| dc.creator | Beach, K. S. D. | |
| dc.date | 2007-09-27 | |
| dc.date.accessioned | 2026-07-07T08:32:49Z | |
| dc.date.available | 2026-07-07T08:32:49Z | |
| dc.description | The Heisenberg chain with antiferromagnetic, powerlaw exchange has a quantum phase transition separating spin liquid and Neel ordered phases at a critical value of the powerlaw exponent alpha. The behaviour of the system can be explained rather simply in terms of a resonating valence bond state in which the amplitude for a bond of length r goes as r^{-alpha} for alpha < 1, as r^{-(1+alpha)/2} for 1 < alpha < 3, and as r^{-2} for alpha > 3. Numerical evaluation of the staggered magnetic moment and Binder cumulant reveals a second order transition at alpha_c = 2.18(5), in excellent agreement with quantum Monte Carlo. The divergence of the magnetic correlation length is consistent with an exponent nu = 2/(3-alpha_c) = 2.4(2). | |
| dc.description | 4 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0709.4487 | |
| dc.identifier | http://arxiv.org/abs/0709.4487 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138917 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Valence bond description of the long-range, nonfrustrated Heisenberg chain | |
| dc.type | text |