Quantum versus classical behavior in the boundary susceptibility of the ferromagnetic Heisenberg chain
| dc.creator | Sirker, J. | |
| dc.creator | Bortz, M. | |
| dc.date | 2005-09-07 | |
| dc.date.accessioned | 2026-07-07T06:25:26Z | |
| dc.date.available | 2026-07-07T06:25:26Z | |
| dc.description | We calculate the temperature dependence of the boundary susceptibility $χ_B$ for the quantum ferromagnetic Heisenberg chain by a modified spin-wave theory (MSWT). We find that $χ_B$ diverges at low temperatures $\sim -T^{-3}$ and therefore more rapidly and with opposite sign than the bulk susceptibility $χ_{\text{bulk}}\sim T^{-2}$. Our result for $χ_B$ is identical in leading order with the result for the classical system. In next leading orders, however, quantum corrections to the classical result exist which are important to obtain a good description over a wide temperature range. For the $S=1/2$ case, we show that our full result from MSWT is in excellent agreement with numerical data obtained by the density-matrix renormalization group applied to transfer matrices. Finally, we discuss the quantum to classical crossover as well as consequences of our results for experiment in some detail. | |
| dc.description | 6 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0509168 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0509168 | |
| dc.identifier | Phys. Rev. B 73, 014424 (2006) | |
| dc.identifier | doi:10.1103/PhysRevB.73.014424 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96831 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Quantum versus classical behavior in the boundary susceptibility of the ferromagnetic Heisenberg chain | |
| dc.type | text |