Localization, anomalous diffusion and slow relaxations in disordered systems
We present a model, that while simple to define, shows rich behavior that accounts for a variety of physical phenomena, such as
localization of phonons, anomalous diffusion, and slow relaxations in glassy systems. The 'crux of the matter' lies in the fact that the
rate of many process es in nature is exponential in the relevant distance: quantum tunneling is a common example. If we think about a
particle diffusing in a random environment, its dynamics will be described by a matrix A where the i,j'th element is
exponential in the distance between points i and j. This leads us naturally to the model of exponential random matrices, which is a
different ensemble of random matrices, with interesting properties. We solve the model exactly in the low density, and discuss the
implications on the various physical problems.

Stefano Borini

Glassy dynamics in porous silicon electrical conductivity
Some typical hallmarks of glasses, such as slow non exponential relaxation and aging, can be clearly observed by measuring the
electrical conductivity of porous silicon at room temperature. I will report some experimental results, discussing similarities and
differences with respect to other glassy systems.

Sushanta Dattagupta

Quantum Dissipation of an Electron in a Magnetic Field
The general problem of Quantum Dissipation will be stated in the context of an electron in a magnetic field. We will show how
dissipation makes the system move from the Landau regime to the Bohr-Van Leeuwen regime, which may be viewed as a
coherence to decoherence transition. We will also discuss the specific heat and make some remarks on the Third Law of
Thermodynamics. The problem allows us to also compare and unify two different approaches to Statistical Mechanics:
the Gibbs and the Einstein (Quantum Brownian Motion) approaches.

Arthur F. Hebard

Disorder-tuned approach to critical behavior in thin-film ferromagnets
Using an apparatus in which thin films can be deposited and then immediately transferred without exposure to air into an adjoining
cryostat, we present results on the disorder-induced changes in conductivity and magnetic behavior of thin-film ferromagnets. The
experiments are motivated by the question of how disorder, which is known to localize spin-oriented carriers, affects magnetism in itinerant
(band) ferromagnets. For Fe films we find a weak-localization quantum correction to the anomalous Hall effect, whereas in Gd films we
observe an additional localizing, linear in temperature quantum correction to the conductivity due to scattering off spin waves.
At higher stages of disorder, evidence will be presented for two distinct and rather surprising behaviors: for Gd films, a scale-dependent
conductivity that collapses onto separate curves on each side of a metal-insulator transition, and for Fe and Co films, an anomalous Hall
insulator behavior that can be ascribed to granularity.

Peter Nalbach

Quantum coherent energy transfer in photosynthesis
In recent years, experiments (Fleming group in Berkeley) showed that excitonic energy transfer in photosynthesis is quantum
coherent for several hundreds of femto-seconds and thus for a big part of the total transfer time. I show how coherence can survive
despite strongly coupled environmental fluctuations, namely due to two features of the fluctuation spectra: spatial correlations and/or
suppression of fast fluctuations. These findings raise many questions regarding the use of quantum coherence by nature in living things.

Michael Pollak

Electron-Glass Opening Talk
A brief survey of current activity will be presented, addressing also outstanding problems and open questions.

## Abstracts

## Ariel Amir

Localization, anomalous diffusion and slow relaxations in disordered systemsWe present a model, that while simple to define, shows rich behavior that accounts for a variety of physical phenomena, such as

localization of phonons, anomalous diffusion, and slow relaxations in glassy systems. The 'crux of the matter' lies in the fact that the

rate of many process es in nature is exponential in the relevant distance: quantum tunneling is a common example. If we think about a

particle diffusing in a random environment, its dynamics will be described by a matrix A where the i,j'th element is

exponential in the distance between points i and j. This leads us naturally to the model of exponential random matrices, which is a

different ensemble of random matrices, with interesting properties. We solve the model exactly in the low density, and discuss the

implications on the various physical problems.

## Stefano Borini

Glassy dynamics in porous silicon electrical conductivitySome typical hallmarks of glasses, such as slow non exponential relaxation and aging, can be clearly observed by measuring the

electrical conductivity of porous silicon at room temperature. I will report some experimental results, discussing similarities and

differences with respect to other glassy systems.

## Sushanta Dattagupta

Quantum Dissipation of an Electron in a Magnetic FieldThe general problem of Quantum Dissipation will be stated in the context of an electron in a magnetic field. We will show how

dissipation makes the system move from the Landau regime to the Bohr-Van Leeuwen regime, which may be viewed as a

coherence to decoherence transition. We will also discuss the specific heat and make some remarks on the Third Law of

Thermodynamics. The problem allows us to also compare and unify two different approaches to Statistical Mechanics:

the Gibbs and the Einstein (Quantum Brownian Motion) approaches.

## Arthur F. Hebard

Disorder-tuned approach to critical behavior in thin-film ferromagnetsUsing an apparatus in which thin films can be deposited and then immediately transferred without exposure to air into an adjoining

cryostat, we present results on the disorder-induced changes in conductivity and magnetic behavior of thin-film ferromagnets. The

experiments are motivated by the question of how disorder, which is known to localize spin-oriented carriers, affects magnetism in itinerant

(band) ferromagnets. For Fe films we find a weak-localization quantum correction to the anomalous Hall effect, whereas in Gd films we

observe an additional localizing, linear in temperature quantum correction to the conductivity due to scattering off spin waves.

At higher stages of disorder, evidence will be presented for two distinct and rather surprising behaviors: for Gd films, a scale-dependent

conductivity that collapses onto separate curves on each side of a metal-insulator transition, and for Fe and Co films, an anomalous Hall

insulator behavior that can be ascribed to granularity.

## Peter Nalbach

Quantum coherent energy transfer in photosynthesisIn recent years, experiments (Fleming group in Berkeley) showed that excitonic energy transfer in photosynthesis is quantum

coherent for several hundreds of femto-seconds and thus for a big part of the total transfer time. I show how coherence can survive

despite strongly coupled environmental fluctuations, namely due to two features of the fluctuation spectra: spatial correlations and/or

suppression of fast fluctuations. These findings raise many questions regarding the use of quantum coherence by nature in living things.

## Michael Pollak

Electron-Glass Opening TalkA brief survey of current activity will be presented, addressing also outstanding problems and open questions.