Dmitrii L. Maslov

Landauer Conductance of Luttinger Liquids with Leads

We show that the dc conductance of a quantum wire containing a Luttinger liquid and attached to non-interacting leads is given by

Josephson current and proximity effect in Luttinger liquids

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Transport through dirty Luttinger liquids connected to reservoirs.

per spin orientation, regardless of the interactions in the wire. This explains the recent observations of the absence of conductance renormalization in long high-mobility

INDUCTION OF NON-D-WAVE ORDER-PARAMETER COMPONENTS BY CURRENTS IN D-WAVE SUPERCONDUCTORS

GaAs

Spin stiffness of mesoscopic quantum antiferromagnets.

wires by Tarucha, Honda and Saku (Solid State Communications {bf 94}, 413 (1995)).

PERSISTENT CURRENTS AND LUTTINGER LIQUIDS

A theory describing a one-dimensional Luttinger liquid in contact with a superconductor is developed. Boundary conditions for the fermion fields describing Andreev reflection at the contacts are derived and used to construct a bosonic representation of the fermions. The Josephson current through a superconductor/Luttinger liquid/superconductor junction is considered for both perfectly and poorly transmitting interfaces. In the former case, the Josephson current at low temperatures is found to be essentially unaffected by electron-electron interactions. In the latter case, significant renormalization of the Josephson current occurs. The profile of the (induced) condensate wave function in a semi-infinite Luttinger liquid in contact with a superconductor is shown to decay as a power law, the exponent depending on the sign and strength of the interactions. In the case of repulsive (attractive) interactions the decay is faster (slower) than in their absence. An equivalent method of calculating the Josephson current through a Luttinger liquid, which employs the bosonization of the system as a whole (i.e., superconductor, as well as Luttinger liquid) is developed and shown to give the results equivalent to those obtained via boundary condition describing Andreev reflection.

Probing the Superconducting Proximity Effect in NbSe2 by Scanning Tunneling Microscopy.

It is shown that the conductance of a weakly disordered Luttinger-liquid quantum wire connected to non-interacting leads is affected by electron-electron interactions in the wire. This is in contrast to the case of a perfect wire the conductance of which is given by

Density of States Oscillations and Spectral Geometry for Andreev Billiards

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Paraconductivity in inhomogeneous Luttinger liquids

regardless of interactions in the wire. The disorder-induced correction to the conductance scales with temperature and/or the wire length, the scaling exponent being determined only by the interaction strength in the wire. These results explain recent experiments on quasi-ballistic GaAs quantum wires.

Conductance of Luttinger-Liquid Wires Connected to Reservoirs

It is shown, within the framework of the Ginzburg-Landau theory for a superconductor with d_{x^2-y^2} symmetry, that the passing of a supercurrent through the sample results, in general, in the induction of order-parameter components of distinct symmetry. The induction of s-wave and d_{xy(x^2-y^2)-wave components are considered in detail. It is shown that in both cases the order parameter remains gapless; however, the structure of the lines of nodes and the lobes of the order parameter are modified in distinct ways, and the magnitudes of these modifications differ in their dependence on the (a-b plane) current direction. The magnitude of the induced s-wave component is estimated using the results of the calculations of Ren et al. [Phys. Rev. Lett. 74, 3680 (1995)], which are based on a microscopic approach.