Thierry Giamarchi

Creep and depinning in disordered media

Elastic systems driven in a disordered medium exhibit a depinning transition at zero temperature and a creep regime at finite temperature and slow drive f. We derive functional renormalization-group equations which allow us to describe in detail the properties of the slowly moving states in both cases. Since they hold at finite velocity v, they allow us to remedy some shortcomings of the previous approaches to zero-temperature depinning. In particular, they enable us to derive the depinning law directly from the equation of motion, with no artificial prescription or additional physical assumptions, such as a scaling relation among the exponents. Our approach provides a controlled framework to establish under which conditions the depinning regime is universal. It explicitly demonstrates that the random potential seen by a moving extended system evolves at large scale to a random field and yields a self-contained picture for the size of the avalanches associated with the deterministic motion. At finite temperature

COUPLED LADDERS IN A MAGNETIC FIELD

Tg0

Interchain conductivity of coupled Luttinger liquids and organic conductors

we find that the effective barriers grow with length scale as the energy differences between neighboring metastable states, and demonstrate the resulting activated creep law

Dynamical transverse Meissner effect and transition in moving Bose glass

vensuremath{sim}mathrm{exp}(ensuremath{-}{mathrm{Cf}}^{ensuremath{-}ensuremath{mu}}/T)

Spin-anisotropic electron-electron interactions in one-dimensional metals

where the exponent ensuremath{mu} is obtained in a

Topological transition between competing orders in quantum spin chains

ensuremath{epsilon}=4ensuremath{-}D

Impurity coupled to a lattice with disorder

expansion

Bulk Pumping in 2D Topological Phases

(D

Probing one-dimensional systems via noise magnetometry with single spin qubits

is the internal dimension of the interface). Our approach also provides quantitatively an interesting scenario for creep motion as it allows us to identify several intermediate length scales. In particular, we unveil a ``depinninglike regime at scales larger than the activation scale, with avalanches spreading from the thermal nucleus scale up to the much larger correlation length

Band and Correlated Insulators of Cold Fermions in a Mesoscopic Lattice

{R}_{V}.