dc.contributor.author | Pietracaprina, Francesca | |
dc.date.accessioned | 2022-03-21T07:38:34Z | |
dc.date.available | 2022-03-21T07:38:34Z | |
dc.date.issued | 2021 | |
dc.date.submitted | 2021 | en |
dc.identifier.citation | Pietracaprina, Francesca, Laflorencie, Nicolas, Hilbert-space fragmentation, multifractality, and many-body localization, Annals of Physics, 2021, 435, 1, 168502 | en |
dc.identifier.other | Y | |
dc.description | PUBLISHED | en |
dc.description.abstract | Investigating many-body localization (MBL) using exact numerical methods is limited by the exponential growth of the Hilbert space. However, localized eigenstates display multifractality and only extend over a vanishing fraction of the Hilbert space. Here, building on this remarkable property, we develop a simple yet efficient decimation scheme to discard the irrelevant parts of the Hilbert space of the random-field Heisenberg chain. This leads to an Hilbert space fragmentation in small clusters, allowing to access larger systems at strong disorder. The MBL transition is quantitatively predicted, together with a geometrical interpretation of MBL multifractality as a shattering of the Hilbert space. | en |
dc.format.extent | 168502 | en |
dc.language.iso | en | en |
dc.relation.ispartofseries | Annals of Physics; | |
dc.relation.ispartofseries | 435; | |
dc.relation.ispartofseries | 1; | |
dc.rights | Y | en |
dc.subject | Many-body localization | en |
dc.subject | Exact diagonalization | en |
dc.subject | Multifractality | en |
dc.title | Hilbert-space fragmentation, multifractality, and many-body localization | en |
dc.type | Journal Article | en |
dc.type.supercollection | scholarly_publications | en |
dc.type.supercollection | refereed_publications | en |
dc.identifier.peoplefinderurl | http://people.tcd.ie/pietracf | |
dc.identifier.rssinternalid | 239275 | |
dc.identifier.doi | https://doi.org/10.1016/j.aop.2021.168502 | |
dc.rights.ecaccessrights | openAccess | |
dc.identifier.uri | http://hdl.handle.net/2262/98305 | |