Classical ground states of symmetrical Heisenberg spin systems
| dc.creator | Schmidt, Heinz-Juergen | |
| dc.creator | Luban, Marshall | |
| dc.date | 2002-09-06 | |
| dc.date | 2002-09-11 | |
| dc.date.accessioned | 2026-07-07T02:47:10Z | |
| dc.date.available | 2026-07-07T02:47:10Z | |
| dc.description | We investigate the ground states of classical Heisenberg spin systems which have point group symmetry. Examples are the regular polygons (spin rings) and the seven quasi-regular polyhedra including the five Platonic solids. For these examples, ground states with special properties, e.g. coplanarity or symmetry, can be completely enumerated using group-theoretical methods. For systems having coplanar (anti-) ground states with vanishing total spin we also calculate the smallest and largest energies of all states having a given total spin S. We find that these extremal energies depend quadratically on S and prove that, under certain assumptions, this happens only for systems with coplanar S=0 ground states. For general systems the corresponding parabolas represent lower and upper bounds for the energy values. This provides strong support and clarifies the conditions for the so-called rotational band structure hypothesis which has been numerically established for many quantum spin systems. | |
| dc.description | 35 pages, 8 figures Minor corrections of the first version, 1 additional reference | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0209157 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0209157 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19909 | |
| dc.subject | Condensed Matter | |
| dc.subject | Mathematical Physics | |
| dc.title | Classical ground states of symmetrical Heisenberg spin systems | |
| dc.type | text |