Real-space quantum renormalization group and Anderson localization
- 15 April 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 47 (15) , 9243-9248
- https://doi.org/10.1103/physrevb.47.9243
Abstract
We discuss the application of a quantum real-space renormalization-group approach to the Anderson-localization problem. States obtained by applying combinations of fixed and free boundary conditions to the system are used as a truncated basis at each iteration. We discuss the problem of intruder states, which occurs when the renormalization-group procedure is used to find states at the center of the band; we also discuss some possible solutions. We present numerical results for the conductance, the localization length, and the scaling function for the Anderson-localization problem in one dimension.Keywords
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