scholarly journals Anderson localization of ultrasonic waves in three dimensions.

2009 ◽  
Vol 126 (4) ◽  
pp. 2273
Author(s):  
John Page ◽  
Anatoliy Strybulevych ◽  
Hefei Hu ◽  
Sergey Skipetrov ◽  
Bart van Tiggelen
Keyword(s):  
Anderson Localization ◽  
Ultrasonic Waves ◽  
Three Dimensions

ANDERSON LOCALIZATION IN THE SEVENTIES AND BEYOND

2010 ◽  
Vol 24 (12n13) ◽  
pp. 1507-1525 ◽  
Author(s):  
David Thouless
Keyword(s):  
Quantum Hall Effect ◽  
Anderson Localization ◽  
Quantum Hall ◽  
Experimental Tests ◽  
Three Dimensions ◽  
Electronic Systems ◽  
Atomic Systems ◽  
One Dimensional ◽  
Extended States ◽  
Energy States

Little attention was paid to Anderson's challenging paper on localization for the first ten years, but from 1968 onwards it generated a lot of interest. Around that time a number of important questions were raised by the community, on matters such as the existence of a sharp distinction between localized and extended states, or between conductors and insulators. For some of these questions the answers are unambiguous. There certainly are energy ranges in which states are exponentially localized, in the presence of a static disordered potential. In a weakly disordered one-dimensional potential, all states are localized. There is clear evidence, in three dimensions, for energy ranges in which states are extended, and ranges in which they are diffusive. Magnetic and spin-dependent interactions play an important part in reducing localization effects. For massive particles like electrons and atoms the lowest energy states are localized, but for massless particles like photons and acoustic phonons the lowest energy states are extended. Uncertainties remain. Scaling theory suggests that in two-dimensional systems all states are weakly localized, and that there is no minimum metallic conductivity. The interplay between disorder and mutual interactions is still an area of uncertainty, which is very important for electronic systems. Optical and dilute atomic systems provide experimental tests which allow interaction to be much less important. The quantum Hall effect provided a system where states on the Fermi surface are localized, but non-dissipative currents flow in response to an electric field.

Multiply Scattered and Diffusing Ultrasound: Applications, Experiments, Theory

1991 ◽  
Vol 253 ◽  
Author(s):  
Richard L Weaver
Keyword(s):  
Anderson Localization ◽  
Random Media ◽  
Two Dimensions ◽  
Ultrasonic Waves ◽  
Sound Waves ◽  
Material Microstructure ◽  
Coherent Wave ◽  
Classical Waves ◽  
Ultrasound Applications

ABSTRACTThe study of ultrasonic waves in random media in a strong multiple scattering limit is becoming increasingly relevant to applied techniques of nondestructive characterization of material microstructures. This paper reviews the state of that art within the context of engineering applications and also reviews the evidence for the Anderson Localization of ultrasound.While ultrasound has long been employed as a nondestructive probe of material microstructure, it has usually been the rapidly attenuated coherent wave, and in particular, its speed and attenuation, which has been scrutinized for that purpose. The theory of such waves is discussed here. However, recent experiments and theory are increasingly addressing the diffuse speckle wave field. This small but growing body of work is also reviewed.While there has been much work recently on optical and microwave realizations for the study of the Anderson localization of classical waves, there has been little such investigation with sound waves. Recent work demonstrating the Anderson Localization of Ultrasound in two dimensions may be the first such for any classical waves in dimension greater than one.

scholarly journals Anderson localization in sigma models

2018 ◽  
Vol 175 ◽  
pp. 07005
Author(s):  
Falk Bruckmann ◽  
Jacob Wellnhofer
Keyword(s):  
Sigma Models ◽  
High Temperatures ◽  
Anderson Localization ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Asymptotic Freedom ◽  
Mass Generation ◽  
Dynamical Mass ◽  
Anderson Transition ◽  
Three Space

In QCD above the chiral restoration temperature there exists an Anderson transition in the fermion spectrum from localized to delocalized modes. We investigate whether the same holds for nonlinear sigma models which share properties like dynamical mass generation and asymptotic freedom with QCD. In particular we study the spectra of fermions coupled to (quenched) CP(N-1) configurations at high temperatures. We compare results in two and three space-time dimensions: in two dimensions the Anderson transition is absent, since all fermion modes are localized, while in three dimensions it is present. Our measurements include a more recent observable characterizing level spacings: the distribution of ratios of consecutive level spacings.

scholarly journals Typical medium dynamical cluster approximation for the study of Anderson localization in three dimensions

2014 ◽  
Vol 89 (8) ◽  
Author(s):  
C. E. Ekuma ◽  
H. Terletska ◽  
K.-M. Tam ◽  
Z.-Y. Meng ◽  
J. Moreno ◽  
...  
Keyword(s):  
Anderson Localization ◽  
Three Dimensions ◽  
Cluster Approximation ◽  
Dynamical Cluster Approximation

scholarly journals Experimental signatures of Anderson localization of light in three dimensions

2007 ◽  
Vol 54 (16-17) ◽  
pp. 2667-2677 ◽  
Author(s):  
C. M. Aegerter ◽  
M. Störzer ◽  
W. Bührer ◽  
S. Fiebig ◽  
G. Maret
Keyword(s):  
Anderson Localization ◽  
Three Dimensions

scholarly journals Observation of Anderson localization of light in three dimensions

2007 ◽  
Vol 24 (10) ◽  
pp. A23 ◽  
Author(s):  
Christof M. Aegerter ◽  
Martin Störzer ◽  
Susanne Fiebig ◽  
Wolfgang Bührer ◽  
Georg Maret
Keyword(s):  
Anderson Localization ◽  
Three Dimensions
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