Finite-size scaling of pseudo-critical point distributions in the random transverse-field Ising chain
| dc.creator | Iglói, Ferenc | |
| dc.creator | Lin, Yu-Cheng | |
| dc.creator | Rieger, Heiko | |
| dc.creator | Monthus, Cécile | |
| dc.date | 2007-04-10 | |
| dc.date.accessioned | 2026-07-07T09:26:01Z | |
| dc.date.available | 2026-07-07T09:26:01Z | |
| dc.description | We study the distribution of finite size pseudo-critical points in a one-dimensional random quantum magnet with a quantum phase transition described by an infinite randomness fixed point. Pseudo-critical points are defined in three different ways: the position of the maximum of the average entanglement entropy, the scaling behavior of the surface magnetization, and the energy of a soft mode. All three lead to a log-normal distribution of the pseudo-critical transverse fields, where the width scales as $L^{-1/ν}$ with $ν=2$ and the shift of the average value scales as $L^{-1/ν_{typ}}$ with $ν_{typ}=1$, which we related to the scaling of average and typical quantities in the critical region. | |
| dc.description | 4 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0704.1194 | |
| dc.identifier | http://arxiv.org/abs/0704.1194 | |
| dc.identifier | Phys. Rev. B 76, 064421 (2007) | |
| dc.identifier | doi:10.1103/PhysRevB.76.064421 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156604 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Finite-size scaling of pseudo-critical point distributions in the random transverse-field Ising chain | |
| dc.type | text |