Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 020401 |
| Fachzeitschrift | Physical Review Letters |
| Jahrgang | 117 |
| Ausgabenummer | 2 |
| Publikationsstatus | Veröffentlicht - 6 Juli 2016 |
Abstract
We consider dipolar excitations propagating via dipole-induced exchange among immobile molecules randomly spaced in a lattice. The character of the propagation is determined by long-range hops (Levy flights). We analyze the eigenenergy spectra and the multifractal structure of the wave functions. In 1D and 2D, all states are localized, although in 2D the localization length can be extremely large leading to an effective localization-delocalization crossover in realistic systems. In 3D, all eigenstates are extended but not always ergodic, and we identify the energy intervals of ergodic and nonergodic states. The reduction of the lattice filling induces an ergodic to nonergodic transition, and the excitations are mostly nonergodic at low filling.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
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in: Physical Review Letters, Jahrgang 117, Nr. 2, 020401, 06.07.2016.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Quantum Levy Flights and Multifractality of Dipolar Excitations in a Random System
AU - Deng, X.
AU - Altshuler, B. L.
AU - Shlyapnikov, G. V.
AU - Santos, Luis
N1 - Funding information: We are grateful to V. E. Kravtsov for fruitful discussions. We acknowledge support by the Center QUEST and the DFG Research Training Group 1729, and the support from IFRAF and the Dutch foundation FOM. The research leading to these results has received funding from the European Research Council under European Communitys Seventh Framework Programme (FR7/2007-2013 Grant No. 341197). This research was supported in part by the National Science Foundation under Grant No. NSF PHY11-25915.
PY - 2016/7/6
Y1 - 2016/7/6
N2 - We consider dipolar excitations propagating via dipole-induced exchange among immobile molecules randomly spaced in a lattice. The character of the propagation is determined by long-range hops (Levy flights). We analyze the eigenenergy spectra and the multifractal structure of the wave functions. In 1D and 2D, all states are localized, although in 2D the localization length can be extremely large leading to an effective localization-delocalization crossover in realistic systems. In 3D, all eigenstates are extended but not always ergodic, and we identify the energy intervals of ergodic and nonergodic states. The reduction of the lattice filling induces an ergodic to nonergodic transition, and the excitations are mostly nonergodic at low filling.
AB - We consider dipolar excitations propagating via dipole-induced exchange among immobile molecules randomly spaced in a lattice. The character of the propagation is determined by long-range hops (Levy flights). We analyze the eigenenergy spectra and the multifractal structure of the wave functions. In 1D and 2D, all states are localized, although in 2D the localization length can be extremely large leading to an effective localization-delocalization crossover in realistic systems. In 3D, all eigenstates are extended but not always ergodic, and we identify the energy intervals of ergodic and nonergodic states. The reduction of the lattice filling induces an ergodic to nonergodic transition, and the excitations are mostly nonergodic at low filling.
UR - http://www.scopus.com/inward/record.url?scp=84978044386&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.117.020401
DO - 10.1103/PhysRevLett.117.020401
M3 - Article
AN - SCOPUS:84978044386
VL - 117
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 2
M1 - 020401
ER -