I. V. Krive

Carbon “peapods”—a new tunable nanoscale graphitic structure (Review)

We consider the electronic properties of empty single-wall nanotubes (SWNT) and SWNT filled with fullerene molecules (carbon “nano-peapods”). The first part of the review (Sec. II) is devoted mostly to the Luttinger liqued properties of individual metallic SWNT coupled to metallic electrodes or to superconducting leads. The discovery of carbon “nano-peapods” and their elastic, electric and thermal properties are reviewed in the second part of the paper (Sec. III). We suggest in particular how fullerene and metallofullerene molecules can be released from a “nano-peapod” by a purely electrostatic method.

TRANSPORT PROPERTIES OF QUASIPARTICLES WITH FRACTIONAL EXCLUSION STATISTICS

We consider the ballistic transport of quasiparticles with exclusion statistics through a 1D wire within the Landauer-Buttiker approach. We demonstrate that quasiparticle transport coefficients (electrical and heat conductance, as well as thermopower) are determined by the same general formulae as for particles with normal statistics. By applying the developed formalism to the ballistic transport of fractional charge it is shown that for a wire in contact to quasiparticles reservoirs the transport coefficients depend on the fractional charge. Specific features of resonant tunneling of quasiparticles are discussed.

Resonant tunneling of electrons in quantum wires (Review)

We consider resonant electron tunneling in various nanostructures, including single-wall carbon nanotubes, molecular transistors, and quantum wires, formed in two-dimensional electron gas. The review starts with a textbook description of resonant tunneling of noninteracting electrons through a double-barrier structure. The effects of electron–electron interaction in sequential and resonant electron tunneling are studied by using the Luttinger liquid model of electron transport in quantum wires. The experimental aspects of the problem (fabrication of quantum wires and transport measurements) are also considered. The influence of vibrational and electromechanical effects on resonant electron tunneling in molecular transistors is discussed.

Chiral symmetry breaking and the Josephson current in a ballistic superconductor-quantum wire-superconductor junction

We evaluate the Josephson current through a quasi-1D quantum wire coupled to bulk superconductors. It is shown that the interplay of Rashba spin-orbit interaction and Zeeman splitting results in the appearance of a Josephson current even in the absence of any phase difference between the superconductors. In a transparent junction (Dsimilar or equal to1) at low temperatures this anomalous supercurrent J(an) appears abruptly for a Zeeman splitting of the order of the Andreev level spacing as the magnetic field is varied. In a low-transparency (Dmuch less than1) junction one has J(an)proportional torootD under special (resonance) conditions. In the absence of Zeeman splitting the anomalous supercurrent disappears. We have investigated the influence of dispersion asymmetry induced by the Rashba interaction in quasi-1D quantum wires on the critical Josephson current and have shown that the breakdown of chiral symmetry enhances the supercurrent.

Nonequilibrium plasmons in a quantum wire single-electron transistor

We analyze a single-electron transistor composed of two semi-infinite one-dimensional quantum wires and a relatively short segment between them. We describe each wire section by a Luttinger model, and treat tunneling events in the sequential approximation when the systems dynamics can be described by a master equation. We show that the steady-state occupation probabilities in the strongly interacting regime depend only on the energies of the states and follow a universal form that depends on the source-drain voltage and the interaction strength.

Charge and spin effects in mesoscopic Josephson junctions (Review)

We consider the charge and spin effects in low-dimensional superconducting weak links. The first part of the review deals with the effects of electron–electron interaction in Superconductor/Luttinger liquid/Superconductor junctions. The experimental realization of this mesoscopic hybrid system can be an individual single-wall carbon nanotube that bridges a gap between two bulk superconductors. The dc Josephson current through a Luttinger liquid is evaluated in the limits of perfectly and poorly transmitting junctions. The relationship between the Josephson effect in a long SNS junction and the Casimir effect is discussed. In the second part of the paper we review the recent results concerning the influence of the Zeeman and Rashba interactions on the thermodynamic properties of ballistic S–QW–S junction fabricated in a two-dimensional electron gas. It is shown that in a magnetically controlled junction there are conditions for a resonant Cooper pair transition which results in a giant supercurrent through...

Luttinger liquid and polaronic effects in electron transport through a molecular transistor

Electron transport through a single-level quantum dot weakly coupled to Luttinger liquid leads is considered in the master equation approach. It is shown that for a weak or moderately strong interaction the differential conductance demonstrates resonant-like behavior as a function of bias and gate voltages. The inelastic channels associated with vibron-assisted electron tunneling can even dominate electron transport for a certain region of interaction strength. In the limit of strong interaction resonant behavior disappears and the differential conductance scales as a power law in temperature (linear regime) or in bias voltage (nonlinear regime).

Phase-controlled force and magnetization oscillations in superconducting ballistic nanowires.

The emergence of superconductivity-induced phase-controlled forces in the (10(-2)-10(-1)) nN range and of magnetization oscillations in nanowire junctions is discussed. A giant magnetic response to applied weak magnetic fields is predicted in the ballistic Josephson junction formed by a superconducting tip and a surface, bridged by a normal-metal nanowire where Andreev states form.

Transport in finite incommensurate Peierls-Fröhlich systems

We show that the conductance of a one-dimensional, finite charge-density-wave (CDW) system of the incommensurate type is not renormalized at low temperatures and depends solely on the leads. Within our formalism, we argue that a similar behavior (perfect conductance) should occur for a wide class of one-dimensional strongly correlated finite systems where interactions are current dependent. The universal conductance is related to the presence of an (anomalous) chiral symmetry. The fundamental role played by the finiteness of the sample and the adiabaticity of the contacts to Fermi-liquid leads is evidenced.

Thermal transport through Luttinger liquid constriction

The heat transport through one-dimensional quantum wire is considered in the frameworks of the inhomogeneous Tomonaga–Luttinger liquid model. It is shown that even for perfect (impurity free) wire thermal transport is suppressed due to multiple scattering of plasmons on the boundaries that connect quantum wire to the leads of noninteracting electrons. In the presence of impurity inside the Luttinger liquid constriction resonant enhancement of thermal conductivity at certain conditions is predicted.