Reference : Two Scenarios for Quantum Multifractality Breakdown
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/169016
Two Scenarios for Quantum Multifractality Breakdown
English
Dubertrand, Rémy mailto [Université de Liège - ULiège > Département de physique > Optique quantique >]
Garcia-Mata, Ignacio [Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), CONICET–UNMdP, Funes 3350, B7602AYL Mar del Plata, Argentina > > > >]
Georgeot, Bertrand [Université de Toulouse, UPS, Laboratoire de Physique Théorique (IRSAMC), F-31062 Toulouse, France > > > >]
Giraud, Olivier [LPTMS, CNRS and Université Paris-Sud, UMR 8626, Bât. 100, 91405 Orsay, France > > > >]
Lemarié, Gabriel [Université de Toulouse, UPS, Laboratoire de Physique Théorique (IRSAMC), F-31062 Toulouse, France > > > >]
Martin, John mailto [Université de Liège - ULiège > Département de physique > Optique quantique >]
Jun-2014
Physical Review Letters
American Physical Society
112
234101
Yes (verified by ORBi)
International
0031-9007
1079-7114
Ridge
NY
[en] We expose two scenarios for the breakdown of quantum multifractality under the effect of perturbations. In the first scenario, multifractality survives below a certain scale of the quantum fluctuations. In the other one, the fluctuations of the wave functions are changed at every scale and each multifractal dimension smoothly goes to the ergodic value. We use as generic examples a one-dimensional dynamical system and the three-dimensional Anderson model at the metal-insulator transition. Based on our results, we conjecture that the sensitivity of quantum multifractality to perturbation is universal in the sense that it follows one of these two scenarios depending on the perturbation. We also discuss the experimental implications.
CECI, Grant No. 2.5020.11
http://hdl.handle.net/2268/169016
10.1103/PhysRevLett.112.234101

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