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We investigate different methods to compute the DC conductance in a quantum wire doped with some impuritied by exploiting the integrability of the theories under consideration. As an essential ingredient in all methods we evaluate the…

Condensed Matter · Physics 2007-05-23 Olalla A. Castro-Alvaredo , Andreas Fring

We study a one-dimensional interacting quantum liquid hosting a pair of mobile impurities causing backscattering. We determine the effective retarded interaction between the two impurities mediated by the liquid. We show that for strong…

A theory describing a one-dimensional Luttinger liquid in contact with superconductor is developed. Boundary conditions for the fermion fields describing Andreev reflection at the contacts are derived and used to construct a bosonic…

Condensed Matter · Physics 2016-08-31 Dmitrii L. Maslov , Michael Stone , Paul M. Goldbart , Daniel Loss

A low energy crossover (see cond-mat/9711167) induced by Fermi liquid reservoirs in transport through a 1D Mott-Hubbard insulator of finite length $L$ is examined in the presence of impurity pinning. Under the assumption that the Hubbard…

Condensed Matter · Physics 2009-10-31 Vadim Ponomarenko , Naoto Nagaosa

Critical current fluctuations with a 1/ f spectral density (f is frequency) are potentially a limiting source of intrinsic decoherence in superconducting quantum bits (qubits) based on Josephson tunnel junctions. Prior measurements of this…

Superconductivity · Physics 2007-05-23 Michael Mueck , Matthias Korn , C. G. A. Mugford , J. B. Kycia , John Clarke

We investigate rectification of a low-frequency ac bias in Y-junctions of one-channel Luttinger liquid wires with repulsive electron interaction. Rectification emerges due to three scatterers in the wires. We find that it is possible to…

Mesoscale and Nanoscale Physics · Physics 2011-02-01 Chenjie Wang , D. E. Feldman

In this paper we review recent theoretical results for transport in a one-dimensional (1d) Luttinger liquid. For simplicity, we ignore electron spin, and focus exclusively on the case of a single-mode. Moreover, we consider only the effects…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Matthew P. A. Fisher , Leonid I. Glazman

We study the frequency and space dependence of the local tunneling density of states of a Luttinger liquid (LL) which is connected to a superconductor. This coupling {\em strongly} modifies the single-particle properties of the LL. It…

Condensed Matter · Physics 2009-10-28 C. Winkelholz , Rosario Fazio , F. W. J. Hekking , Gerd Schön

We examine the effects of disorder in one-dimensional systems. We link the case of a few impurities, typical of a short quantum wire, to that of a finite density of scatterers more appropriate for a long wire or a macroscopic system.…

Condensed Matter · Physics 2007-05-23 Thierry Giamarchi , Hélène Maurey

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We introduce a path-integral approach that allows to compute charge density oscillations in a Luttinger liquid with impurities. We obtain an explicit expression for the envelope of Friedel oscillations in the presence of arbitrary…

Strongly Correlated Electrons · Physics 2009-10-31 Victoria I. Fernández , Carlos M. Naón

Simple intersections between one-dimensional channels can act as coherent beam splitters for non-interacting electrons. Here we examine how coherent splitting at such intersections is affected by inter-particle interactions, in the special…

Strongly Correlated Electrons · Physics 2020-07-01 Andreas Schulz , Imke Schneider , James Anglin

Recent microwave reflection measurements of Josephson junction ladders have suggested the presence of nearly coherent collective charge oscillations deep in the insulating phase. Here we develop a qualitative understanding of such coherent…

Superconductivity · Physics 2019-06-26 Huan-Kuang Wu , Jay D. Sau

We consider a superconductor-two dimensional topological insulator- superconductor junction (S-2DTI-S) and study how the 2{\pi}- and 4{\pi}-periodic Josephson currents are affected by the electron-electron interaction. In the long-junction…

Superconductivity · Physics 2015-06-16 Simone Barbarino , Rosario Fazio , Maura Sassetti , Fabio Taddei

We study the backscattered current in a Luttinger liquid in the presence of a point like weak impurity switched on at finite time, taking into account finite-temperature effects. We show how the well-known results for a static impurity are…

Strongly Correlated Electrons · Physics 2010-06-07 Mariano J. Salvay , Hugo A. Aita , Carlos M. Naón

We study the effect that resistive regions have on the conductance of a quantum wire with interacting electrons which is connected to Fermi liquid leads. Using the bosonization formalism and a Rayleigh dissipation function to model the…

Mesoscale and Nanoscale Physics · Physics 2011-03-17 Abhiram Soori , Diptiman Sen

We consider a linearly-dispersing quantum impurity interacting through a contact density-density term with a one-dimensional (1D) superfluid described by the Tomonaga-Luttinger liquid theory. Using a linked cluster expansion we characterize…

Strongly Correlated Electrons · Physics 2024-04-26 Lorenzo Gotta , Thierry Giamarchi

We have investigated numerically the phase--locking behavior of two-dimensional Josephson junction arrays,taking into account a finite inductance ($l\stackrel{>}{\sim}1$) of the unit cell and external magnetic fields. Within this model we…

Condensed Matter · Physics 2009-10-22 W. Krech , K. Yu. Platov

We study odd-membered chains of spin-(1/2) impurities, with each end connected to its own metallic lead. For antiferromagnetic exchange coupling, universal two-channel Kondo (2CK) physics is shown to arise at low energies. Two overscreening…

Strongly Correlated Electrons · Physics 2011-09-21 Andrew K. Mitchell , David E. Logan , H. R. Krishnamurthy

In one-dimensional quantum wires the interplay of electron correlations and impurities strongly influences the low-energy physics. The diversity of energy scales and the competition of correlations in interacting Fermi systems can be…

Strongly Correlated Electrons · Physics 2024-09-02 Sabine Andergassen
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