Impurity clusters and localization of nodal quasiparticles in \emph{d}-wave superconductors
| dc.creator | Pogorelov, Yu. G. | |
| dc.creator | Santos, M. C. | |
| dc.creator | Loktev, V. M. | |
| dc.date | 2006-05-16 | |
| dc.date | 2006-11-15 | |
| dc.date.accessioned | 2026-07-07T07:08:59Z | |
| dc.date.available | 2026-07-07T07:08:59Z | |
| dc.description | The long disputed issue of the limiting value of quasiparticle density of states $\r(0) = \r (\e \to 0)$ in a \emph{d-}wave superconductor with impurities (\emph{vs} its linear vanishing, $\r_0(\e) \propto |\e|/\D$, near the nodal point $\e = 0$ in a pure system with the gap parameter $\D$) is discussed. Using the technique of group expansions of Green functions in complexes of interacting impurities, it is shown that finite $\r(0)$ value is possible if the (finite) impurity perturbation $V$ is spin-dependent (magnetic). The found value has a power law dependence on the impurity concentration $c$: $\r(0) \propto \r_N c^{n}$, where $\r_N$ is the normal metal density of states and $n \geq 2$ is the least number of impurities in a complex that can localize nodal quasiparticle. This result essentially differs from the known predictions of self-consistent approximation: $\r(0) \propto \r_N \sqrt {c/\r_N\D}$ (for the unitary limit $V \to \infty$) or $\r(0) \propto (\D/cV^2)\exp(-\D/cV^2\r_N)$ (for the Born limit $|V|\r_N \ll 1$). We predict also existence of a narrow interval (mobility gap) around the Fermi energy, where all the states are localized on proper impurity clusters, leading to exponential suppression of low-temperature kinetics. | |
| dc.description | 6 pages, 5 figures, revtex, some new references were added and the used approximations were explained | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0605424 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0605424 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110909 | |
| dc.subject | Superconductivity | |
| dc.subject | Materials Science | |
| dc.title | Impurity clusters and localization of nodal quasiparticles in \emph{d}-wave superconductors | |
| dc.type | text |