Ostlund, Stellan ; Pandit, Rahul (1984) Renormalization-group analysis of the discrete quasiperiodic Schrödinger equation Physical Review B: Condensed Matter and Materials Physics, 29 (3). pp. 1394-1414. ISSN 1098-0121
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Official URL: http://prb.aps.org/abstract/PRB/v29/i3/p1394_1
Related URL: http://dx.doi.org/10.1103/PhysRevB.29.1394
Abstract
Recently developed scaling concepts in the theory of quasiperiodic dynamical systems are used to develop an exact renormalization group applicable to the discrete, quasiperiodic Schrödinger equation. To illustrate the power of the method, we calculate the universal scaling properties of the states and eigenvalue spectrum at and below the localization transition for an energy which corresponds to an integrated density of states of ½. The modulating potential has a frequency ½(√5−1) relative to the underlying lattice for the example we work out in greatest detail.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 72700 |
| Deposited On: | 29 Nov 2011 04:39 |
| Last Modified: | 29 Nov 2011 04:39 |
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