# Large-disorder renormalization group study of the Anderson model of localization

## Author(s): Johri, S; Bhatt, Ravindra N

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 Abstract: We describe a large-disorder renormalization group (LDRG) method for the Anderson model of localization in one dimension which decimates eigenstates based on the size of their wave functions rather than their energy. We show that our LDRG scheme flows to infinite disorder, and thus becomes asymptotically exact. We use it to obtain the disorder-averaged inverse participation ratio (IPR) and density of states (DOS) for the entire spectrum. A modified scheme is formulated for higher dimensions, which is found to be less efficient, but capable of improvement. Publication Date: 29-Aug-2014 Electronic Publication Date: 29-Aug-2014 Citation: Johri, S, Bhatt, RN. (2014). Large-disorder renormalization group study of the Anderson model of localization. Physical Review B - Condensed Matter and Materials Physics, 90 (10.1103/PhysRevB.90.060205 DOI: doi:10.1103/PhysRevB.90.060205 Type of Material: Journal Article Journal/Proceeding Title: Physical Review B - Condensed Matter and Materials Physics Version: Author's manuscript