An exactly solvable supersymmetric spin chain of BC_N type
| dc.creator | Barba, J. C. | |
| dc.creator | Finkel, F. | |
| dc.creator | Gonzalez-Lopez, A. | |
| dc.creator | Rodriguez, M. A. | |
| dc.date | 2008-07-09 | |
| dc.date.accessioned | 2026-07-07T11:52:26Z | |
| dc.date.available | 2026-07-07T11:52:26Z | |
| dc.description | We construct a new exactly solvable supersymmetric spin chain related to the BC_N extended root system, which includes as a particular case the BC_N version of the Polychronakos-Frahm spin chain. We also introduce a supersymmetric spin dynamical model of Calogero type which yields the new chain in the large coupling limit. This connection is exploited to derive two different closed-form expressions for the chain's partition function by means of Polychronakos's freezing trick. We establish a boson-fermion duality relation for the new chain's spectrum, which is in fact valid for a large class of (not necessarily integrable) spin chains of BC_N type. The exact expressions for the partition function are also used to study the chain's spectrum as a whole, showing that the level density is normally distributed even for a moderately large number of particles. We also determine a simple analytic approximation to the distribution of normalized spacings between consecutive levels which fits the numerical data with remarkable accuracy. Our results provide further evidence that spin chains of Haldane-Shastry type are exceptional integrable models, in the sense that their spacings distribution is not Poissonian, as posited by the Berry-Tabor conjecture for "generic'' quantum integrable systems. | |
| dc.description | 36 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/0807.1495 | |
| dc.identifier | http://arxiv.org/abs/0807.1495 | |
| dc.identifier | Nucl.Phys.B806:684-714,2009 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2008.08.014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204225 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Mathematical Physics | |
| dc.title | An exactly solvable supersymmetric spin chain of BC_N type | |
| dc.type | text |