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Effect of Hilbert space truncation on Anderson localization

Author(s): Krishna, A; Bhatt, Ravindra N

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Abstract: © 2018 American Physical Society. The 1D Anderson model possesses a completely localized spectrum of eigenstates for all values of the disorder. We consider the effect of projecting the Hamiltonian to a truncated Hilbert space, destroying time-reversal symmetry. We analyze the ensuing eigenstates using different measures such as inverse participation ratio and sample-averaged moments of the position operator. In addition, we examine amplitude fluctuations in detail to detect the possibility of multifractal behavior (characteristic of mobility edges) that may arise as a result of the truncation procedure.
Publication Date: 18-May-2018
Citation: Krishna, A, Bhatt, RN. (2018). Effect of Hilbert space truncation on Anderson localization. Physical Review B, 97 (17), 10.1103/PhysRevB.97.174205
DOI: doi:10.1103/PhysRevB.97.174205
ISSN: 2469-9950
EISSN: 2469-9969
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review B
Version: Author's manuscript

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