# Fluctuation driven transitions in localized insulators: Intermittent metallicity and path chaos precede delocalization

@inproceedings{Ros2021FluctuationDT, title={Fluctuation driven transitions in localized insulators: Intermittent metallicity and path chaos precede delocalization}, author={V. Ros and M. Muller}, year={2021} }

We study how interacting localized degrees of freedom are affected by slow thermal fluctuations that change the effective local disorder. We compute the time-averaged (annealed) conductance in the insulating regime and find three distinct insulating phases, separated by two transitions. The first occurs between a non-resonating insulator and an intermittent metal. The average conductance is always dominated by rare temporal fluctuations. However, in the intermittent metal, they are so strong… Expand

#### References

SHOWING 1-10 OF 107 REFERENCES

Glassy Properties of Anderson Localization: Pinning, Avalanches, and Chaos.

- Physics, Medicine
- Physical review letters
- 2019

I present the results of extensive numerical simulations, which reveal the glassy properties of Anderson localization in dimension two at zero temperature: pinning, avalanches, and chaos. I first… Expand

Difference between level statistics, ergodicity and localization transitions on the Bethe lattice

- Mathematics, Physics
- 2012

We show that non-interacting disordered electrons on a Bethe lattice display a new intermediate phase which is delocalized but non-ergodic, i.e. it is characterized by Poisson instead of GOE… Expand

Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states

- Physics
- 2006

Abstract We consider low-temperature behavior of weakly interacting electrons in disordered conductors in the regime when all single-particle eigenstates are localized by the quenched disorder. We… Expand

Many-Body Delocalization as a Quantum Avalanche.

- Physics, Medicine
- Physical review letters
- 2018

A multiscale diagonalization scheme to study disordered one-dimensional chains, in particular, the transition between many-body localization and the ergodic phase, expected to be governed by resonant spots, shows that a few natural assumptions imply that the system is localized with probability one at criticality. Expand

Superconductor-Insulator transition and energy localization

- Physics
- 2010

We develop an analytical theory for generic disorder-driven quantum phase transitions. We apply this formalism to the superconductor-insulator transition and we briefly discuss the applications to… Expand

Multifractality and quantum-to-classical crossover in the Coulomb anomaly at the Mott–Anderson metal–insulator transition

- Physics
- 2014

We study the interaction-driven localization transition, which a recent experiment (Richardella et al 2010 Science 327 665) in Ga1?xMnxAs has shown to come along with the multifractal behavior of the… Expand

Mean field theory of superglasses

- Physics
- 2012

We study the interplay of superfluidity and glassy ordering of hard core bosons with random, frustrating interactions. This is motivated by bosonic systems such as amorphous supersolid, disordered… Expand

Energy delocalization in strongly disordered systems induced by the long-range many-body interaction

- Physics
- 2006

Anderson localization1 in a random system is sensitive to a distance dependence of the excitation transfer amplitude V(r). If V(r) decreases with the distance r slower than 1/r^d in a d-dimensional… Expand

Critical Thermalization of a Disordered Dipolar Spin System in Diamond.

- Physics, Medicine
- Physical review letters
- 2018

By controlling the spin states of nitrogen vacancy color centers in diamond, this work reports the observation of critical thermalization in a three dimensional ensemble of ∼10^{6} electronic spins coupled via dipolar interactions and identifies a regime of power-law decay with disorder-dependent exponents. Expand

Kosterlitz-Thouless scaling at many-body localization phase transitions

- Mathematics, Physics
- 2018

We propose a scaling theory for the many-body localization (MBL) phase transition in one dimension, building on the idea that it proceeds via a “quantum avalanche.” We argue that the critical… Expand