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We calculate the conductances of a three-terminal junction set-up of spinless Luttinger liquid wires threaded by a magnetic flux, allowing for different interaction strength g_3 != g in the third wire. We employ the fermionic representation…

Strongly Correlated Electrons · Physics 2013-08-21 D. N. Aristov , P. Wölfle

We calculate the conductances of a three-way junction of spinless Luttinger-liquid wires as functions of bias voltages applied to three independent Fermi-liquid reservoirs. In particular, we consider the setup that is characteristic of a…

Strongly Correlated Electrons · Physics 2017-05-03 D. N. Aristov , I. V. Gornyi , D. G. Polyakov , P. Wölfle

We develop a method to extract the universal conductance of junctions of multiple quantum wires, a property of systems connected to reservoirs, from static ground-state computations in closed finite systems. The method is based on a key…

Strongly Correlated Electrons · Physics 2012-01-31 Armin Rahmani , Chang-Yu Hou , Adrian Feiguin , Masaki Oshikawa , Claudio Chamon , Ian Affleck

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 investigate transport of spinless fermions through a single site dot junction of M one-dimensional quantum wires. The semi-infinite wires are described by a tight-binding model. Each wire consists of two parts: the non-interacting leads…

Strongly Correlated Electrons · Physics 2009-11-11 X. Barnabe-Theriault , A. Sedeki , V. Meden , K. Schoenhammer

We study electron and spin transport in interacting quantum wires contacted by noninteracting leads. We theoretically model the wire and junctions as an inhomogeneous chain where the parameters at the junction change on the scale of the…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Denis Morath , Nicholas Sedlmayr , Jesko Sirker , Sebastian Eggert

The electrical current through an arbitrary junction connecting quantum wires of spinless interacting fermions is calculated in fermionic representation. The wires are adiabatically attached to two reservoirs at chemical potentials…

Strongly Correlated Electrons · Physics 2014-12-09 D. N. Aristov , P. Wölfle

We study the conductance of three or more semi-infinite wires which meet at a junction. The electrons in the wires are taken to interact weakly with each other through a short-range density-density interaction, and they encounter a general…

Strongly Correlated Electrons · Physics 2009-11-07 Siddhartha Lal , Sumathi Rao , Diptiman Sen

We study a junction of three quantum wires enclosing a magnetic flux. The wires are modeled as single-channel spinless Tomonaga-Luttinger liquids. This is the simplest problem of a quantum junction between Tomonaga-Luttinger liquids in…

Strongly Correlated Electrons · Physics 2011-02-16 Masaki Oshikawa , Claudio Chamon , Ian Affleck

We study the transport properties of three Luttinger liquid wires (with possibly different interaction strength), connected through a Y-junction, within the scattering state formalism. We first formulate the problem in current algebra…

Strongly Correlated Electrons · Physics 2011-10-18 D. N. Aristov , P. Wölfle

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 calculate the conductance of a system of two spinless Luttinger liquid wires with different interaction strengths g_1, g_2, connected through a short junction, within the scattering state formalism. Following earlier work we formulate…

Strongly Correlated Electrons · Physics 2015-06-05 D. N. Aristov , P. Wölfle

Inhomogeneities and junctions in wires are natural sources of scattering, and hence resistance. A conducting fixed point usually requires an adiabatically smooth system. One notable exception is "healing", which has been predicted in…

Strongly Correlated Electrons · Physics 2014-01-28 N. Sedlmayr , D. Morath , J. Sirker , S. Eggert , I. Affleck

We study the effects of electron-electron interactions on the transport properties of a junction of three quantum wires enclosing a magnetic flux. The wires are modeled as single channel spin-1/2 Tomonaga-Luttinger liquids. The system…

Mesoscale and Nanoscale Physics · Physics 2009-01-22 Chang-Yu Hou , Claudio Chamon

We study the transport properties of a system of three Luttinger liquid wires (with different interaction strengths g, g_3), connected through a Y-junction (main wire and tunneling tip) threaded by magnetic flux, within the scattering state…

Strongly Correlated Electrons · Physics 2012-07-30 D. N. Aristov , P. Wölfle

The renormalization of conductances in a Y junction of spinless Luttinger-liquid wires additionally coupled to acoustic longitudinal phonons is investigated in fermionic representation. This system corresponds to geometry of a tunneling…

Mesoscale and Nanoscale Physics · Physics 2020-05-13 P. A. Nosov , R. A. Niyazov , D. N. Aristov

We calculate the conductance of a quantum wire with two occupied subbands in a presence of a barrier taking into account the interaction between electrons. We extend the renormalization-group equation for the scattering matrix of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. V. Borin , K. E. Nagaev

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 use the technique of bosonization to understand a variety of recent experimental results on the conductivity of a quantum wire. The quantum wire is taken to be a finite-length Luttinger liquid connected on two sides to semi-infinite…

Strongly Correlated Electrons · Physics 2009-11-07 Siddhartha Lal , Sumathi Rao , Diptiman Sen

Conductance is related to dynamical correlation functions which can be calculated with \textit{time-dependent} methods. Using boundary conformal field theory, we relate the conductance tensors of quantum junctions of multiple wires to…

Mesoscale and Nanoscale Physics · Physics 2010-11-25 Armin Rahmani , Chang-Yu Hou , Adrian Feiguin , Claudio Chamon , Ian Affleck
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