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We study junctions of single-channel spinless Luttinger liquids using bosonisation. We generalize earlier studies by allowing the junction to be superconducting and find new charge non-conserving low energy fixed points. We establish the…

Mesoscale and Nanoscale Physics · Physics 2009-03-11 Sourin Das , Sumathi Rao

We investigate transport of correlated fermions through a junction of three one-dimensional quantum wires pierced by a magnetic flux. We determine the flow of the conductance as a function of a low-energy cutoff in the entire parameter…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 X. Barnabe-Theriault , A. Sedeki , V. Meden , K. Schoenhammer

We study time resolved transport properties of a $Y$-junction composed of interacting one-dimensional quantum wires using a bosonization approach. In particular, we investigate the AC conductivity of the $Y$-junction formed from finite…

Mesoscale and Nanoscale Physics · Physics 2014-11-06 Amit Agarwal

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

Time-reversal (TR) symmetry is crucial for understanding a wide range of physical phenomena, and plays a key role in constraining fundamental particle interactions and in classifying phases of quantum matter. In this work, we introduce an…

Statistical Mechanics · Physics 2026-03-23 Kabir Khanna , Abhishek Kumar , Romain Vasseur , Andreas W. W. Ludwig

Luttinger liquid theory describes one-dimensional electron systems in terms of non-interacting bosonic excitations. In this approximation thermal excitations are decoupled from the current flowing through a quantum wire, and the conductance…

Mesoscale and Nanoscale Physics · Physics 2011-09-01 K. A. Matveev , A. V. Andreev

We investigate electrical transport in a quantum wire of $N$ sites connected to an equal number $(N_i/2)$ of sources and drains of charges in bulk. Each source and drain injects and extracts charges at the same rate, respectively. We show…

Mesoscale and Nanoscale Physics · Physics 2025-02-28 Rupak Bag , Dibyendu Roy

The Landauer approach to transport in mesoscopic conductors has been generalized to allow for strong electronic correlations in a single-channel quantum wire. We describe in detail how to account for external voltage sources in adiabatic…

Strongly Correlated Electrons · Physics 2009-10-31 Reinhold Egger , Hermann Grabert

We study the effect of electron-electron interactions on the transport in an inhomogeneous quantum wire. We show that contrary to the well-known Luttinger liquid result, non-uniform interactions contribute substantially to the resistance of…

Mesoscale and Nanoscale Physics · Physics 2008-02-19 J. Rech , K. A. Matveev

We study the spatial decay of electron coherence due to electron-electron interaction in a finite-length disorder-free quantum wire. Based on the Luttinger liquid theory, we demonstrate that the coherence length characterizing the…

Mesoscale and Nanoscale Physics · Physics 2009-01-20 Jaeuk U. Kim , W. -R. Lee , Hyun-Woo Lee , H. -S. Sim

We study the transport properties of long quantum wires by generalizing the Luttinger liquid approach to allow for the finite lifetime of the bosonic excitations. Our theory accounts for long-range disorder and strong electron interactions,…

Strongly Correlated Electrons · Physics 2015-11-13 Wade DeGottardi , K. A. Matveev

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

We consider the entanglement between two one-dimensional quantum wires (Luttinger Liquids) coupled by tunneling through a quantum impurity. The physics of the system involves a crossover between weak and strong coupling regimes…

Strongly Correlated Electrons · Physics 2014-03-12 Romain Vasseur , Jesper Lykke Jacobsen , Hubert Saleur

A quantum wire is spatially displaced by suitable electric fields with respect to the scatterers inside a semiconductor crystal. As a function of the wire position, the low-temperature resistance shows reproducible fluctuations. Their…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Heinzel , G. Salis , R. Held , S. Luescher , K. Ensslin , W. Wegscheider , M. Bichler

We consider a honeycomb network built of quantum wires, with each node of the network having a Y-junction of three wires with a ring through which flux can be inserted. The junctions are the basic circuit elements for the network, and they…

Strongly Correlated Electrons · Physics 2013-02-13 Jaime Medina , Dmitry Green , Claudio Chamon

We analyze the charge and thermal transport at a junction of interacting quantum wires close to equilibrium. Within the framework of Tomonaga-Luttinger liquids, we compute the thermal conductance for a wide class of boundary conditions and…

Mesoscale and Nanoscale Physics · Physics 2022-01-24 D. Giuliano , A. Nava , R. Egger , P. Sodano , F. Buccheri

We study the time dependence of the entanglement between two quantum wires after suddenly connecting them via tunneling through an impurity. The result at large times is given by the well known formula $S(t) \approx {1\over 3}\ln {t}$. We…

Strongly Correlated Electrons · Physics 2017-07-07 Romain Vasseur , Hubert Saleur

The boundary modes of one dimensional quantum systems can play host to a variety of remarkable phenomena. They can be used to describe the physics of impurities in higher dimensional systems, such as the ubiquitous Kondo effect or can…

Strongly Correlated Electrons · Physics 2020-02-24 Colin Rylands

We (re) consider in this paper the problem of tunneling through an impurity in a quantum wire with arbitrary Luttinger interaction parameter. By combining the integrable approach developed in the case of Quantum Hall edge states with the…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koutouza , F. Siano , H. Saleur

The boundary of a fractionalized topological phase can be gapped by condensing a proper set of bosonic quasiparticles. Interestingly, in the presence of a global symmetry, such a boundary can have different symmetry transformation…

Strongly Correlated Electrons · Physics 2016-07-01 Fiona Burnell , Xie Chen , Alexei Kitaev , Max Metlitski , Ashvin Vishwanath