Mobility edge of the two dimensional Bose-Hubbard model

Autor:	Geißler, Andreas, Pupillo, Guido
Rok vydání:	2019
Předmět:	Condensed Matter - Quantum Gases Condensed Matter - Disordered Systems and Neural Networks Quantum Physics
Zdroj:	Phys. Rev. Research 2, 042037 (2020)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevResearch.2.042037
Popis:	We analyze the disorder driven localization of the two dimensional Bose-Hubbard model by evaluating the full low energy quasiparticle spectrum via a recently developed fluctuation operator expansion method. For any strength of the local interaction we find a mobility edge that displays an approximately exponential decay with increasing disorder strength. We determine the finite-size scaling collapse and exponents at this critical line finding that the localization of excitations is characterized by weak multi-fractality and a thermal-like critical gap ratio. A direct comparison to a recent experiment yields an excellent match of the predicted finite-size transition point and scaling of single particle correlations. Comment: 5+2 pages, 4 figures (added 12 pages Supplemental Material)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1909.09247 Zobrazit plný text záznamu View this record from Arxiv