{ "id": "1912.09951", "version": "v1", "published": "2019-12-20T17:19:30.000Z", "updated": "2019-12-20T17:19:30.000Z", "title": "Compact, flat-band based, Anderson and many-body localization in a diamond chain", "authors": [ "Nilanjan Roy", "Ajith Ramachandran", "Auditya Sharma" ], "comment": "5 pages, 6 figures", "categories": [ "cond-mat.dis-nn", "cond-mat.quant-gas", "cond-mat.str-el" ], "abstract": "The interplay of dispersionless bands, compact localized eigenstates, disorder and interactions, in a quasi one-dimensional diamond chain results in a rich phase diagram. Localization properties of the system vary from extreme compact localization in the dispersionless limit to weak flat-band based localization in the presence of tiny disorder, to the familiar strong Anderson localization in the presence of large disorder. Furthermore, when interactions are turned on, the many-body localized phase is also realized in some parameter regimes. The phase diagram is chalked out on the basis of both single-particle properties including inverse participation ratio, return probability, wave-packet dynamics, and many-particle properties including level spacing ratio, many-particle inverse participation ratio, return probability, and imbalance parameter.", "revisions": [ { "version": "v1", "updated": "2019-12-20T17:19:30.000Z" } ], "analyses": { "keywords": [ "many-body localization", "quasi one-dimensional diamond chain results", "many-particle inverse participation ratio", "return probability", "phase diagram" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }