Matches in SemOpenAlex for { <https://semopenalex.org/work/W1610409416> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W1610409416 abstract "We investigate the relationship between the spectral gap delta E_0 and the localization length xi in general one-particle systems. A relationship for many-body systems between the spectral gap and the exponential clustering has been derived from the Lieb-Robinson bound, which reduces to the inequality xi le const. times delta E_0^{-1} for one-particle systems. This inequality, however, turned out not to be optimal qualitatively. As a refined upper bound, we here prove the inequality xi le const. times delta E_0^{-1/2} in general one-particle systems. Our proof is not based on the Lieb-Robinson bound, but on our complementary inequality related to the uncertainty principle [T. Kuwahara, J. Phys. A: Math. Theor. 46 (2013)]. We give a specific form of the upper bound and test its tightness in the tight-binding Hamiltonian with a diagonal impurity, where the localization length behaves as xi ~ delta E_0^{-1/2}. We ensure that our upper bound is quantitatively tight in the case of nearest-neighbor hopping." @default.
- W1610409416 created "2016-06-24" @default.
- W1610409416 creator A5035528658 @default.
- W1610409416 date "2014-04-28" @default.
- W1610409416 modified "2023-09-27" @default.
- W1610409416 title "Spectral gap and the exponential localization in general one-particle systems" @default.
- W1610409416 hasPublicationYear "2014" @default.
- W1610409416 type Work @default.
- W1610409416 sameAs 1610409416 @default.
- W1610409416 citedByCount "0" @default.
- W1610409416 crossrefType "posted-content" @default.
- W1610409416 hasAuthorship W1610409416A5035528658 @default.
- W1610409416 hasConcept C111919701 @default.
- W1610409416 hasConcept C114614502 @default.
- W1610409416 hasConcept C121332964 @default.
- W1610409416 hasConcept C121864883 @default.
- W1610409416 hasConcept C126255220 @default.
- W1610409416 hasConcept C130367717 @default.
- W1610409416 hasConcept C130787639 @default.
- W1610409416 hasConcept C134306372 @default.
- W1610409416 hasConcept C151376022 @default.
- W1610409416 hasConcept C174084160 @default.
- W1610409416 hasConcept C179003449 @default.
- W1610409416 hasConcept C2524010 @default.
- W1610409416 hasConcept C2778114796 @default.
- W1610409416 hasConcept C33923547 @default.
- W1610409416 hasConcept C37914503 @default.
- W1610409416 hasConcept C41008148 @default.
- W1610409416 hasConcept C62520636 @default.
- W1610409416 hasConcept C77553402 @default.
- W1610409416 hasConceptScore W1610409416C111919701 @default.
- W1610409416 hasConceptScore W1610409416C114614502 @default.
- W1610409416 hasConceptScore W1610409416C121332964 @default.
- W1610409416 hasConceptScore W1610409416C121864883 @default.
- W1610409416 hasConceptScore W1610409416C126255220 @default.
- W1610409416 hasConceptScore W1610409416C130367717 @default.
- W1610409416 hasConceptScore W1610409416C130787639 @default.
- W1610409416 hasConceptScore W1610409416C134306372 @default.
- W1610409416 hasConceptScore W1610409416C151376022 @default.
- W1610409416 hasConceptScore W1610409416C174084160 @default.
- W1610409416 hasConceptScore W1610409416C179003449 @default.
- W1610409416 hasConceptScore W1610409416C2524010 @default.
- W1610409416 hasConceptScore W1610409416C2778114796 @default.
- W1610409416 hasConceptScore W1610409416C33923547 @default.
- W1610409416 hasConceptScore W1610409416C37914503 @default.
- W1610409416 hasConceptScore W1610409416C41008148 @default.
- W1610409416 hasConceptScore W1610409416C62520636 @default.
- W1610409416 hasConceptScore W1610409416C77553402 @default.
- W1610409416 hasLocation W16104094161 @default.
- W1610409416 hasOpenAccess W1610409416 @default.
- W1610409416 hasPrimaryLocation W16104094161 @default.
- W1610409416 hasRelatedWork W1680325105 @default.
- W1610409416 hasRelatedWork W1896320110 @default.
- W1610409416 hasRelatedWork W1978632768 @default.
- W1610409416 hasRelatedWork W1996469343 @default.
- W1610409416 hasRelatedWork W1997094164 @default.
- W1610409416 hasRelatedWork W2092119207 @default.
- W1610409416 hasRelatedWork W2136901844 @default.
- W1610409416 hasRelatedWork W2220357185 @default.
- W1610409416 hasRelatedWork W2579488384 @default.
- W1610409416 hasRelatedWork W2806070699 @default.
- W1610409416 hasRelatedWork W2891988597 @default.
- W1610409416 hasRelatedWork W2901808517 @default.
- W1610409416 hasRelatedWork W2926611980 @default.
- W1610409416 hasRelatedWork W2946553530 @default.
- W1610409416 hasRelatedWork W3036191082 @default.
- W1610409416 hasRelatedWork W3104490977 @default.
- W1610409416 hasRelatedWork W3105070948 @default.
- W1610409416 hasRelatedWork W3105500674 @default.
- W1610409416 hasRelatedWork W3123352559 @default.
- W1610409416 isParatext "false" @default.
- W1610409416 isRetracted "false" @default.
- W1610409416 magId "1610409416" @default.
- W1610409416 workType "article" @default.