Phase diagram of the anisotropic multichannel Kondo Hamiltonian revisited
| dc.creator | Schiller, Avraham | |
| dc.creator | De Leo, Lorenzo | |
| dc.date | 2006-05-19 | |
| dc.date.accessioned | 2026-07-07T07:09:03Z | |
| dc.date.available | 2026-07-07T07:09:03Z | |
| dc.description | The phase diagram of the multichannel Kondo Hamiltonian with an XXZ spin-exchange anisotropy is revisited, revealing a far richer fixed-point structure than previously appreciated. For a spin-1/2 impurity and k > 2 conduction-electron channels, a second ferromagnetic-like domain is found deep in the antiferromagnetic regime. The new domain extends above a (typically large) critical longitudinal coupling J_z^{\ast} > 0, and is separated from the antiferromagnetic domain by a second Kosterliz-Thouless line. A similar line of stable ferromagnetic-like fixed points with a residual isospin-1/2 local moment is shown to exist for large J_z >> |J_{\perp}| > 0 and arbitrary k and s obeying |k - 2s| > 1. Here J_z is the longitudinal spin-exchange coupling, J_{\perp} is the transverse coupling, and s is the impurity spin. Near the free-impurity fixed-point, spin-exchange anisotropy is a relevant perturbation for s > 1/2 and arbitrary k. Depending on the sign of J_z^2 - J_{\perp}^2 and the parity of 2s, the system flows either to a conventional Fermi liquid with no residual degeneracy, or to a k-channel, spin-1/2 Kondo effect, or to a line of ferromagnetic-like fixed points with a residual isospin-1/2 local moment. These results are obtained through a combination of perturbative renormalization-group techniques, Abelian bosonization, a strong-coupling expansion in 1/J_z, and explicit numerical renormalization-group calculations. | |
| dc.description | 15 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0605474 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0605474 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110922 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Phase diagram of the anisotropic multichannel Kondo Hamiltonian revisited | |
| dc.type | text |