Piet W. Brouwer

Electron−Phonon Scattering in Metallic Single-Walled Carbon Nanotubes

Electron scattering rates in metallic single-walled carbon nanotubes are studied using an atomic force microscope as an electrical probe. From the scaling of the resistance of the same nanotube with length in the low- and high-bias regimes, the mean-free paths for both regimes are inferred. The observed scattering rates are consistent with calculations for acoustic-phonon scattering at low biases and zone boundary/optical phonon scattering at high biases.

Scattering approach to parametric pumping

A dc current can be pumped through a quantum dot by periodically varying two independent parameters

Quantum effects in Coulomb blockade

{X}_{1}

Role of spin-dependent interface scattering in generating current-induced torques in magnetic multilayers

and

One-parameter scaling at the dirac point in graphene.

{X}_{2},

Fano resonances as a probe of phase coherence in quantum dots.

like a gate voltage or magnetic field. We present a formula that relates the pumped current to the parametric derivatives of the scattering matrix

Aharonov-Bohm oscillations in disordered topological insulator nanowires

{S(X}_{1}{,X}_{2})

Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems

of the system. As an application we compute the statistical distribution of the pumped current in the case of a chaotic quantum dot.

Rectification of displacement currents in an adiabatic electron pump

Abstract We review the quantum interference effects in a system of interacting electrons confined to a quantum dot. The review starts with a description of an isolated quantum dot. We discuss the random matrix theory (RMT) of the one-electron states in the dot, present the universal form of the interaction Hamiltonian compatible with the RMT, and derive the leading corrections to the universal interaction Hamiltonian. Next, we discuss a theoretical description of a dot connected to leads via point contacts. Having established the theoretical framework to describe such an open system, we discuss its transport and thermodynamic properties. We review the evolution of the transport properties with the increase of the contact conductances from small values to values ∼e2/πℏ. In the discussion of transport, the emphasis is put on mesoscopic fluctuations and the Kondo effect in the conductance.

VOLTAGE-PROBE AND IMAGINARY-POTENTIAL MODELS FOR DEPHASING IN A CHAOTIC QUANTUM DOT

We present a calculation of current-induced torques in metallic magnetic multilayers derived from the spin-dependent transmission and reflection properties of the magnetic layers. A scattering formalism is employed to calculate the torques in a magnetic-nonmagnetic-magnetic trilayer, for currents perpendicular to the layers, in both the ballistic and diffusive regimes.