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This tutorial article gives an introduction to the methods needed to treat interacting electrons in a quantum wire with a single occupied band. Since one-dimensional Fermions cannot be described in terms of noninteracting quasiparticles,…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Hermann Grabert

We study the influence of electron-phonon coupling on electron transport through a Luttinger liquid with an embedded weak scatterer or weak link. We derive the renormalization group (RG) equations which indicate that the directions of RG…

Strongly Correlated Electrons · Physics 2011-08-04 Alexey Galda , Igor V. Yurkevich , Igor V. Lerner

Motivated by a recent experiment in ultracold atoms [ S. Krinner et al., Proc. Natl. Acad. Sci. U.S.A 113, 8144 (2016)], we analyze transport of attractively interacting fermions through a one-dimensional wire near the superfluid…

Quantum Gases · Physics 2017-05-12 Shun Uchino , Masahito Ueda

Luttinger liquid behavior of one-dimensional correlated electron systems is characterized by power-law scaling of a variety of physical observables with exponents determined by a single interaction dependent parameter K. We suggest a setup…

Strongly Correlated Electrons · Physics 2007-10-23 P. Waechter , V. Meden , K. Schoenhammer

We have studied low-temperature properties of interacting electrons in a one-dimensional quantum wire (Luttinger liquid) side-hybridized with a single-level impurity. The hybridization induces a back-scattering of electrons in the wire…

Strongly Correlated Electrons · Physics 2009-04-29 Igor V. Lerner , Vladimir I. Yudson , Igor V. Yurkevich

A model consisting in two quantum XX spin chains, one homogeneous and the second with random couplings drawn from a binary distribution, is considered. The two chains are coupled to two different non-local thermal baths and their dynamics…

Statistical Mechanics · Physics 2017-11-22 Christophe Chatelain

We investigate the transport properties of neutral, fermionic atoms passing through a one-dimensional quantum wire containing a mesoscopic lattice. The lattice is realized by projecting individually controlled, thin optical barriers on top…

Using self-energy-corrected density functional theory (DFT) and a coherent scattering-state approach, we explain current-voltage (IV) measurements of four pyridine-Au and amine-Au linked molecular junctions with quantitative accuracy.…

Mesoscale and Nanoscale Physics · Physics 2012-12-04 Pierre Darancet , Jonathan R. Widawsky , Hyoung Joon Choi , Latha Venkataraman , Jeffrey B. Neaton

We study theoretically the current-voltage characteristics, shot noise, and full counting statistics of a quantum wire double barrier structure. We model each wire segment by a spinless Luttinger liquid. Within the sequential tunneling…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jaeuk U. Kim , Mahn-Soo Choi , Ilya V. Krive , Jari M. Kinaret

General multi-channel SN junctions fall into two topological classes depending on whether or not there is a Majorana mode localized at the junction. This is known to lead to different behaviour of the conductance in the presence of…

Mesoscale and Nanoscale Physics · Physics 2014-11-11 Yashar Komijani , Ian Affleck

We present the theoretical basis for analyzing resonant Raman scattering experiments in one-dimensional systems described by the Luttinger liquid fixed point. We make experimentally testable predictions for distinguishing Luttinger liquids…

Strongly Correlated Electrons · Physics 2009-10-31 D. W. Wang , A. J. Millis , S. Das Sarma

We study nonlinear transport for two coupled one-dimensional quantum wires or carbon nanotubes described by Luttinger liquid theory. Transport properties are shown to crucially depend on the contact length $L_c$. For a special interaction…

Strongly Correlated Electrons · Physics 2009-10-31 A. Komnik , R. Egger

We calculate the density of states for an interacting quantum wire in the presence two impurities of arbitrary potential strength. To perform this calculation, we describe the Coulomb interactions in the wire within the Tomonaga-Luttinger…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 R. Zamoum , M. Guigou , C. Bena , A. Crépieux

The strong coupling limit ($\beta_{gauge}=0$) of lattice QCD with staggered fermions enjoys the same non-perturbative properties as continuum QCD, namely confinement and chiral symmetry breaking. In contrast to the situation at weak…

High Energy Physics - Lattice · Physics 2010-01-21 M. Fromm , Ph. de Forcrand

The creation of artificial gauge fields in neutral ultracold atom systems has opened the possibility to study the effects of spin-orbit coupling terms in clean environments. This work considers the multi-channel scattering properties of two…

Atomic Physics · Physics 2018-09-12 Su-Ju Wang , Q. Guan , D. Blume

We have measured the temperature dependence of the conductance in long V-groove quantum wires (QWRs) fabricated in GaAs/AlGaAs heterostructures. Our data is consistent with recent theories developed within the framework of the Luttinger…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. Levy , A. Tsukernik , M. Karpovski , A. Palevski , B. Dwir , E. Pelucchi , A. Rudra , E. Kapon , Y. Oreg

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

We study the quantum mechanical behavior of a macroscopic, three-body, superconducting circuit. Microwave spectroscopy on our system, a resonator coupling two large Josephson junctions, produced complex energy spectra well explained by…

We propose and investigate an exactly solvable model of non-equilibrium Luttinger liquid on a star graph, modeling a multi-terminal quantum wire junction. The boundary condition at the junction is fixed by an orthogonal matrix S, which…

Mathematical Physics · Physics 2013-02-22 Mihail Mintchev , Paul Sorba

We study the interplay of interactions and disorder in a one-dimensional fermion lattice coupled adiabatically to infinite reservoirs. We employ both the functional renormalization group (FRG) as well as matrix product state techniques,…

Strongly Correlated Electrons · Physics 2015-09-16 C. Karrasch , J. E. Moore