xmlui.dri2xhtml.METS-1.0.item-contributor-funder:
Ministerio de Economía y Competitividad (España)
Sponsor:
We would like to acknowledge F.C. Alcaraz and J. A. Hoyos for very useful discussions, along with CNPq for the hospitality at The São Carlos Institute of Physics (Brazil). We also acknowledge financial support from the Spanish government from grant FIS2012-33642 and the Spanish MINECO's "Centro de Excelencia Severo Ochoa" Programme under grant SEV-2012-0249. JR-L acknowledges support from grant FIS2012-38866-C05-1. GR. acknowledges support from grant FIS2009-11654. The use of HPC systems of the IFT UAM/CSIC is also acknowledged.
Project:
Gobierno de España. FIS2012-33642 Gobierno de España. SEV-2012-0249 Gobierno de España. FIS2012-38866-C05-1 Gobierno de España. FIS2009-11654
Keywords:
Disordered systems
,
Entanglement in extended quantum systems
,
Ladders and planes
,
Spin chains
We study the low-energy states of the 1D random-hopping model in a strongly disordered regime. The entanglement structure is shown to depend solely on the probability distribution for the length of the effective bonds P(l[subíndice]b), whose scaling and finiteWe study the low-energy states of the 1D random-hopping model in a strongly disordered regime. The entanglement structure is shown to depend solely on the probability distribution for the length of the effective bonds P(l[subíndice]b), whose scaling and finite-size behavior are established using renormalizationgroup arguments and a simple model based on random permutations. Parity oscillations are absent in von Neumann entropy with periodic boundary conditions, but appear in the higher moments of the distribution, such as the variance. The particle-hole excited states leave the bond structure and the entanglement untouched. Nonetheless, particle addition or removal deletes bonds and leads to an effective saturation of entanglement at an effective block size given by the expected value for the longest bond.[+][-]