Finite Size Scaling of Classical Long-Ranged Ising Chains and the Criticality of Dissipative Quantum Impurity Models
| dc.creator | Kirchner, Stefan | |
| dc.creator | Si, Qimiao | |
| dc.creator | Ingersent, Kevin | |
| dc.date | 2008-08-07 | |
| dc.date | 2009-04-24 | |
| dc.date.accessioned | 2026-07-07T13:07:32Z | |
| dc.date.available | 2026-07-07T13:07:32Z | |
| dc.description | Motivated in part by quantum criticality in dissipative Kondo systems, we revisit the finite-size scaling of a classical Ising chain with 1/r^{2-epsilon} interactions. For 1/2<epsilon<1, the scaling of the dynamical spin susceptibility is sensitive to the degree of "winding" of the interaction under periodic boundary conditions. Infinite winding yields the expected mean-field behavior, whereas without any winding the scaling is of an interacting omega/T form. The contrast with the behavior of the Bose-Fermi Kondo model suggests a breakdown of a mapping from the quantum model to a classical one due to the smearing of the Kondo spin flips by the continuum limit taken in this mapping. | |
| dc.description | 4 pages, 3 figures; published version | |
| dc.identifier | https://arxiv.org/abs/0808.0916 | |
| dc.identifier | http://arxiv.org/abs/0808.0916 | |
| dc.identifier | Phys. Rev. Lett. 102, 166405 (2009) | |
| dc.identifier | doi:10.1103/PhysRevLett.102.166405 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228119 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Statistical Mechanics | |
| dc.title | Finite Size Scaling of Classical Long-Ranged Ising Chains and the Criticality of Dissipative Quantum Impurity Models | |
| dc.type | text |