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We form a highly simplified model of an atomic wire on a surface by the coupling of two one-dimensional chains, one with electron-electron interactions to represent the wire and and one with no electron-electron interactions to represent…

Strongly Correlated Electrons · Physics 2009-11-07 L. K. Dash , A. J. Fisher

We study a Luttinger Liquid in a finite one-dimensional wire with box-like boundary conditions by considering the local distribution of the single particle spectral weight. This corresponds to the experimental probability of extracting a…

Strongly Correlated Electrons · Physics 2009-11-10 Fabrizio Anfuso , Sebastian Eggert

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 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

We investigate the low-energy collective charge excitations (plasmons, holons) in metallic atomic wires deposited on semiconducting substrates. These systems are described by two-dimensional correlated models representing strongly…

Strongly Correlated Electrons · Physics 2020-06-24 Eric Jeckelmann

In contrast to the well known Fermi liquid theory of three dimensions, interacting one-dimensional and quasi one-dimensional systems of fermions are described at low energy by an effective theory known as Luttinger liquid theory. This…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Gregory A. Fiete

One dimensional metals are described by Luttinger liquid theory. Recent experiments have addressed the relation between this non-Fermi liquid behavior and the existence of a Fermi surface. We show that Luttinger's theorem, with few…

Strongly Correlated Electrons · Physics 2009-10-28 Krastan B. Blagoev , Kevin S. Bedell

An interacting spinless fermion wire coupled to a three-dimensional (3D) semiconducting substrate is approximated by a narrow ladder model (NLM) with varying number of legs. We compute density distributions, gaps, charge-density-wave (CDW)…

Strongly Correlated Electrons · Physics 2018-12-26 Anas Abdelwahab , Eric Jeckelmann

In the first part of our theoretical study of correlated atomic wires on substrates, we introduced lattice models for a one-dimensional quantum wire on a three-dimensional substrate and their approximation by quasi-one-dimensional effective…

Strongly Correlated Electrons · Physics 2017-08-09 Anas Abdelwahab , Eric Jeckelmann , Martin Hohenadler

We show that the one-dimensional (1D) electron systems can also be described by Landau's phenomenological Fermi-liquid theory. Most of the known results derived from the Luttinger-liquid theory can be retrieved from the 1D Fermi-liquid…

Strongly Correlated Electrons · Physics 2009-10-30 Yupeng Wang

An interacting one-dimensional electron system, the Luttinger liquid, is distinct from the "conventional" Fermi liquids formed by interacting electrons in two and three dimensions. Some of its most spectacular properties are revealed in the…

We theoretically investigate transport in a spin incoherent one dimensional electron system, which may be realized in quantum wires at low electron density and finite temperature. Both the pure and disordered cases are considered, both in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Karyn Le Hur , Leon Balents

We study tunneling of weakly-interacting spinless electrons at zero temperature through a single delta-barrier in one-dimensional wires and rings of finite lengths. Our numerical calculations are based on the self-consistent Hartree-Fock…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Andrej Gendiar , Martin Mosko , Pavel Vagner , Radoslav Nemeth

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…

An interacting one-dimensional (1D) electron system is predicted to behave very differently than its higher-dimensional counterparts. Coulomb interactions strongly modify the properties away from those of a Fermi liquid, resulting in a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Bockrath , D. H. Cobden , J. Lu , A. G. Rinzler , R. E. Smalley , L. Balents , P. L. Mceuen

I attempt to give a pedagogical overview of the progress which has occurred during the past decade in the description of one-dimensional correlated fermions. Fermi liquid theory based on a quasi-particle picture, breaks down in one…

Condensed Matter · Physics 2009-10-28 Johannes Voit

Although the effects of interactions in solid state systems still remains a widely open subject, some limiting cases such as the three dimensional Fermi liquid or the one-dimensional Luttinger liquid are by now well understood when one is…

Strongly Correlated Electrons · Physics 2007-05-23 Julien Vidal , Dominique Mouhanna , Thierry Giamarchi

We discuss the properties of interacting electrons on a finite chain with open boundary conditions. We extend the Haldane Luttinger liquid description to these systems and study how the presence of the boundaries modifies various…

Condensed Matter · Physics 2009-10-28 M. Fabrizio , Alexander O. Gogolin

We propose a new non-Fermi liquid ground state in one dimension that is not of the Luttinger type. It is the ground state of fermions interacting via a long range repulsive interaction in real space of the form $ V(x) = e^2/|x| $. We…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Girish S. Setlur , HRI

One-dimensional (1D) interacting electrons are often described as a Luttinger liquid1-4 having properties that are intrinsically different from Fermi liquids in higher dimensions5,6. 1D electrons in materials systems exhibit exotic quantum…

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