Ising transition in the two-dimensional quantum $J_1-J_2$ Heisenberg model
| dc.creator | Capriotti, Luca | |
| dc.creator | Roscilde, Tommaso | |
| dc.creator | Fubini, Andrea | |
| dc.creator | Tognetti, Valerio | |
| dc.date | 2003-12-02 | |
| dc.date.accessioned | 2026-07-07T02:55:06Z | |
| dc.date.available | 2026-07-07T02:55:06Z | |
| dc.description | We study the thermodynamics of the spin-$S$ two-dimensional quantum Heisenberg antiferromagnet on the square lattice with nearest ($J_1$) and next-nearest ($J_2$) neighbor couplings in its collinear phase ($J_2/J_1>0.5$), using the pure-quantum self-consistent harmonic approximation. Our results show the persistence of a finite-temperature Ising phase transition for every value of the spin, provided that the ratio $J_2/J_1$ is greater than a critical value corresponding to the onset of collinear long-range order at zero temperature. We also calculate the spin- and temperature-dependence of the collinear susceptibility and correlation length, and we discuss our results in light of the experiments on Li$_2$VOSiO$_4$ and related compounds. | |
| dc.description | 4 page, 4 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0312050 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0312050 | |
| dc.identifier | Phys. Rev. Lett. 92, 157202 (2004) | |
| dc.identifier | doi:10.1103/PhysRevLett.92.157202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22822 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Statistical Mechanics | |
| dc.title | Ising transition in the two-dimensional quantum $J_1-J_2$ Heisenberg model | |
| dc.type | text |