Effect of Hilbert space truncation on Anderson localization

Article

关键词: METAL-INSULATOR-TRANSITION;    RENORMALIZATION-GROUP APPROACH;    SCALING THEORY;    WEAK-LOCALIZATION;    EXTENDED STATES;    WAVE-FUNCTIONS;    MAGNETORESISTANCE;    MULTIFRACTALITY;    MODEL;    ABSENCE;   

DOI  :  10.1103/PhysRevB.97.174205

来源: SCIE

【 摘 要 】

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.

【 授权许可】

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