Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100125405> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W3100125405 endingPage "8005" @default.
- W3100125405 startingPage "7995" @default.
- W3100125405 abstract "The mean and the variance of the logarithm of the conductance ($ln g$) in the localized regime in the one-dimensional Anderson model are calculated analytically for weak disorder, starting from the recursion relations for the complex reflection- and transmission amplitudes. The exact recursion relation for the reflection amplitudes is approximated by improved Born approximation forms which ensure that averaged reflection coefficients tend asymptotically to unity in the localized regime, for chain lengths $L=Natoinfty$. In contrast the familiar Born approximation of perturbation theory would not be adapted for the localized regime since it constrains the reflection coefficient to be less than one. The proper behaviour of the reflection coefficient (and of other related reflection parameters) is responsible for various anomalies in the cumulants of $ln g$, in particular for the well-known band center anomaly of the localization length. While a simple improved Born approximation is sufficient for studying cumulants at a generic band energy, we find that a generalized improved Born approximation is necessary to account satisfactorily for numerical results for the band center anomaly in the mean of $ln g$. For the variance of $ln g$ at the band center, we reveal the existence of a weak anomalous quadratic term proportional to $L^2$, besides the previously found anomaly in the linear term. At a generic band energy the variance of $ln g$ is found to be linear in $L$ and is given by twice the mean, up to higher order corrections which are calculated. We also exhibit the $L=$independent offset terms in the variance, which strongly depend on reflection anomalies." @default.
- W3100125405 created "2020-11-23" @default.
- W3100125405 creator A5017681801 @default.
- W3100125405 date "2004-10-30" @default.
- W3100125405 modified "2023-09-23" @default.
- W3100125405 title "Anomalous scaling of conductance cumulants in one-dimensional Anderson localization" @default.
- W3100125405 cites W1666610819 @default.
- W3100125405 cites W1966993926 @default.
- W3100125405 cites W1969672675 @default.
- W3100125405 cites W1971577436 @default.
- W3100125405 cites W1976570100 @default.
- W3100125405 cites W1979444024 @default.
- W3100125405 cites W1988116220 @default.
- W3100125405 cites W1996873895 @default.
- W3100125405 cites W1998548355 @default.
- W3100125405 cites W2016268384 @default.
- W3100125405 cites W2022326121 @default.
- W3100125405 cites W2056149522 @default.
- W3100125405 cites W2056276284 @default.
- W3100125405 cites W2071495184 @default.
- W3100125405 cites W2079054258 @default.
- W3100125405 cites W2083022538 @default.
- W3100125405 cites W2090029019 @default.
- W3100125405 cites W2090813143 @default.
- W3100125405 cites W2093563726 @default.
- W3100125405 cites W2094397174 @default.
- W3100125405 cites W2103273784 @default.
- W3100125405 cites W2107555930 @default.
- W3100125405 cites W2108156913 @default.
- W3100125405 cites W3104978896 @default.
- W3100125405 cites W4244229143 @default.
- W3100125405 doi "https://doi.org/10.1088/0953-8984/16/45/021" @default.
- W3100125405 hasPublicationYear "2004" @default.
- W3100125405 type Work @default.
- W3100125405 sameAs 3100125405 @default.
- W3100125405 citedByCount "5" @default.
- W3100125405 countsByYear W31001254052012 @default.
- W3100125405 countsByYear W31001254052015 @default.
- W3100125405 countsByYear W31001254052017 @default.
- W3100125405 crossrefType "journal-article" @default.
- W3100125405 hasAuthorship W3100125405A5017681801 @default.
- W3100125405 hasBestOaLocation W31001254052 @default.
- W3100125405 hasConcept C105795698 @default.
- W3100125405 hasConcept C121332964 @default.
- W3100125405 hasConcept C121864883 @default.
- W3100125405 hasConcept C121932024 @default.
- W3100125405 hasConcept C160817175 @default.
- W3100125405 hasConcept C172686274 @default.
- W3100125405 hasConcept C2524010 @default.
- W3100125405 hasConcept C26873012 @default.
- W3100125405 hasConcept C33923547 @default.
- W3100125405 hasConcept C99844830 @default.
- W3100125405 hasConceptScore W3100125405C105795698 @default.
- W3100125405 hasConceptScore W3100125405C121332964 @default.
- W3100125405 hasConceptScore W3100125405C121864883 @default.
- W3100125405 hasConceptScore W3100125405C121932024 @default.
- W3100125405 hasConceptScore W3100125405C160817175 @default.
- W3100125405 hasConceptScore W3100125405C172686274 @default.
- W3100125405 hasConceptScore W3100125405C2524010 @default.
- W3100125405 hasConceptScore W3100125405C26873012 @default.
- W3100125405 hasConceptScore W3100125405C33923547 @default.
- W3100125405 hasConceptScore W3100125405C99844830 @default.
- W3100125405 hasIssue "45" @default.
- W3100125405 hasLocation W31001254051 @default.
- W3100125405 hasLocation W31001254052 @default.
- W3100125405 hasOpenAccess W3100125405 @default.
- W3100125405 hasPrimaryLocation W31001254051 @default.
- W3100125405 hasRelatedWork W1622976180 @default.
- W3100125405 hasRelatedWork W1689878424 @default.
- W3100125405 hasRelatedWork W1993172120 @default.
- W3100125405 hasRelatedWork W2033410842 @default.
- W3100125405 hasRelatedWork W2041212497 @default.
- W3100125405 hasRelatedWork W2084085011 @default.
- W3100125405 hasRelatedWork W2113992603 @default.
- W3100125405 hasRelatedWork W2212137565 @default.
- W3100125405 hasRelatedWork W2593764985 @default.
- W3100125405 hasRelatedWork W3100125405 @default.
- W3100125405 hasVolume "16" @default.
- W3100125405 isParatext "false" @default.
- W3100125405 isRetracted "false" @default.
- W3100125405 magId "3100125405" @default.
- W3100125405 workType "article" @default.