Finite-Size Scaling of Entanglement Entropy at the Anderson Transition with Interactions

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dc.contributor.authorZhao, Anen_US
dc.contributor.authorChu, Rui-Linen_US
dc.contributor.authorShen, Shun-Qingen_US
dc.date.accessioned2014-07-08T22:10:43Z
dc.date.available2014-07-08T22:10:43Z
dc.date.created2013-05-30en_US
dc.date.issued2013-05-30en_US
dc.date.submitted2012-10-09en_US
dc.description.abstractWe study the Anderson transition with interactions in one dimension from the perspective of quantum entanglement. Extensive numerical calculations of the entanglement entropy (EE) of the systems are carried out through the density matrix renormalization group algorithm. We demonstrate that the EE can be used for the finite-size scaling (FSS) to characterize the Anderson transition in both noninteracting and interacting systems. From the FSS analysis we can obtain a precise estimate of the critical parameters of the transition. The method can be applied to various one-dimensional models, either interacting or noninteracting, to quantitatively characterize the Anderson transitions.en_US
dc.identifier.bibliographicCitationZhao, A., R-L. Chu, and S-Q. Shen, 2013. "Finite-size scaling of entanglement entropy at the Anderson transition with interactions." Physical Review B 87(20): 205140-1 to -5.en_US
dc.identifier.issn1098-0121en_US
dc.identifier.issue20en_US
dc.identifier.startpage205140en_US
dc.identifier.urihttp://hdl.handle.net/10735.1/3640
dc.identifier.volume87en_US
dc.relation.urihttp://dx.doi.org/10.1103/PhysRevB.87.205140en_US
dc.relation.urihttp://dx.doi.org/10.1103/PhysRevB.87.205140
dc.rights©2013 American Physical Societyen_US
dc.sourcePhysical Review B: Condensed Matter & Materials Physics
dc.subjectDensity matricesen_US
dc.subjectStatistical physicsen_US
dc.subjectMetal-insulator transitionsen_US
dc.subjectQuantum entanglementen_US
dc.subjectQuantum entropyen_US
dc.subjectRenormalization groupen_US
dc.subjectSize scalingen_US
dc.titleFinite-Size Scaling of Entanglement Entropy at the Anderson Transition with Interactionsen_US
dc.typetexten_US
dc.type.genrearticleen_US

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