Phase transitions in a Kagome lattice of Josephson junctions
| dc.creator | Rzchowski, M. S. | |
| dc.date | 1995-08-30 | |
| dc.date.accessioned | 2026-07-07T03:07:52Z | |
| dc.date.available | 2026-07-07T03:07:52Z | |
| dc.description | We investigate the nature of the phase transition in Josephson junctions arranged on a Kagome lattice. We find that an applied magnetic field corresponding to 1/2 flux quanta per elementary triangle results in a pi phase shift in the current phase relation for all bonds, resulting in an XY antiferromagnet. This corresponds to the order-from-disorder selected highly-degenerate coplanar state of the more extensively studied Heisenberg Kagome antiferromagnet. Using an histogram Monte-Carlo analysis, we observe a phase transition at 0.078 of the coupling energy. We find that the jump in the superfluid density at the transition temperature, determined from a finite-size scaling analysis of the magnetization fluctuations, retains its universal value within the Kosterlitz-Thouless scenario despite the well-known degeneracy of the low-temperature phase. This universal jump, combined with the dramatically suppressed transition temperature, point to a very strong renormalization of the spin stiffness just below the transition temperature. We also observe a sequence of ground states corresponding to flux quanta per elementary triangle of 1/2, 3/8, 1/4, 1/8, and 0 that, unlike ground states of other lattices, consist of currents of equal magnitude circulating around each elementary triangle in the structure. This sequence of structurally similar ground states will permit a detailed analysis of the dependence of transition temperature on frustration. | |
| dc.description | 10 pages ps, 6 ps figures, one uuencoded, compressed tar file | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9508139 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9508139 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27338 | |
| dc.subject | Condensed Matter | |
| dc.subject | Superconductivity | |
| dc.title | Phase transitions in a Kagome lattice of Josephson junctions | |
| dc.type | text |