Critical phenomena and quantum phase transition in long range Heisenberg antiferromagnetic chains
| dc.creator | Laflorencie, Nicolas | |
| dc.creator | Affleck, Ian | |
| dc.creator | Berciu, Mona | |
| dc.date | 2005-09-15 | |
| dc.date | 2005-10-27 | |
| dc.date.accessioned | 2026-07-07T06:41:47Z | |
| dc.date.available | 2026-07-07T06:41:47Z | |
| dc.description | Antiferromagnetic Hamiltonians with short-range, non-frustrating interactions are well-known to exhibit long range magnetic order in dimensions, $d\geq 2$ but exhibit only quasi long range order, with power law decay of correlations, in d=1 (for half-integer spin). On the other hand, non-frustrating long range interactions can induce long range order in d=1. We study Hamiltonians in which the long range interactions have an adjustable amplitude lambda, as well as an adjustable power-law $1/|x|^α$, using a combination of quantum Monte Carlo and analytic methods: spin-wave, large-N non-linear sigma model, and renormalization group methods. We map out the phase diagram in the lambda-alpha plane and study the nature of the critical line separating the phases with long range and quasi long range order. We find that this corresponds to a novel line of critical points with continuously varying critical exponents and a dynamical exponent, z<1. | |
| dc.description | 27 pages, 12 figures. RG flow added. Final version to appear in JSTAT | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0509390 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0509390 | |
| dc.identifier | J. Stat. Mech. (2005) P12001 | |
| dc.identifier | doi:10.1088/1742-5468/2005/12/P12001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101796 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Statistical Mechanics | |
| dc.title | Critical phenomena and quantum phase transition in long range Heisenberg antiferromagnetic chains | |
| dc.type | text |