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We study the transconductance for two coupled one-dimensional wires or edge states described by Luttinger liquid models. The wires are assumed to interact over a finite segment. We find for the interaction parameter $g=1/2$ that the drag…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Karsten Flensberg

We evaluate the spectral function of interacting fermions in one dimension. Contrary to the Tomonaga-Luttinger model, our treatment accounts for the nonlinearity of the free fermion spectrum. In a striking departure from the Luttinger…

Mesoscale and Nanoscale Physics · Physics 2007-10-02 M. Khodas , M. Pustilnik , A. Kamenev , L. I. Glazman

Interactions between electrons in one-dimension are fully described at low energies by only a few parameters of the Tomonaga-Luttinger model which is based on linearisation of the spectrum. We consider a model of spinless fermions with a…

Strongly Correlated Electrons · Physics 2015-06-16 O. Tsyplyatyev , A. J. Schofield

The average charge Q on a quantum wire, modeled as a single-channel Luttinger liquid, connected to metallic leads and coupled to a gate is studied theoretically. We find that the behavior of the charge as the gate voltage V_G varies depends…

Strongly Correlated Electrons · Physics 2009-11-10 Jason Alicea , Leon Balents , Cristina Bena , Matthew P. A. Fisher

We study physical properties of a Luttinger liquid in a superlattice which is characterized by alternating two tunneling parameters. Employing the Bosonization approach, we describe the corresponding Hubbard model by the equivalent…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Aranya B Bhattacherjee , Pradip Jha , Tarun Kumar , ManMohan

The low-energy theory for multi-wall carbon nanotubes including the long-ranged Coulomb interactions, internal screening effects, and single-electron hopping between graphite shells is derived and analyzed by bosonization methods.…

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

The Luttinger Theorem, which relates the electron density to the volume of the Fermi surface in an itinerant electron system, is taken to be one of the essential features of a Fermi liquid. The microscopic derivation of this result depends…

Strongly Correlated Electrons · Physics 2018-09-17 O. J. Curtin , Y. Nishikawa , A. C. Hewson , D. J. G. Crow

Experiments on quasi-one-dimensional systems such as quantum wires and metallic chains on surfaces suggest the existence of electron-electron interactions of substantial range and hence physics beyond the Hubbard model. We therefore…

Strongly Correlated Electrons · Physics 2012-05-31 Martin Hohenadler , Stefan Wessel , Maria Daghofer , Fakher F. Assaad

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. The conductivity at finite temperature is nonzero only because of inelastic electron-electron…

Disordered Systems and Neural Networks · Physics 2009-11-10 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

The ac-transport properties of a one-dimensional quantum dot with non-Fermi liquid correlations are investigated. It is found that the linear photoconductance is drastically influenced by the interaction. Temperature and voltage dependences…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Vicari , A. Braggio , E. Galleani d'Agliano , M. Sassetti

We consider spinless electrons in two dimensions with the bare spectrum $\epsilon({\bf p})=|p_x|+|p_y|$. In momentum space, the interactions among electrons have a finite range $q_0$, which is small compared to the Fermi momentum. A golden…

Condensed Matter · Physics 2009-10-22 R. Hlubina

We consider a Luttinger liquid (LL) connected to two reservoirs when the two sample-reservoir interface resistances $R_{S}$ and $R_{D}$ are arbitrary (not necessarily quantized at half-the-quantum of resistance). We compute exactly the…

Strongly Correlated Electrons · Physics 2016-08-31 K. -V. Pham

The differential cross section for resonant Raman scattering from the collective modes in a one dimensional system of interacting electrons is calculated non-perturbatively using the bosonization method. The results indicate that resonant…

Strongly Correlated Electrons · Physics 2009-10-31 B. Kramer , M. Sassetti

Within the framework of boundary conformal field theory, we evaluate the conductance of stable fixed points of junctions of two and three quantum wires with different Luttinger parameters. For two wires, the physical properties are governed…

Strongly Correlated Electrons · Physics 2015-03-20 Chang-Yu Hou , Armin Rahmani , Adrian E. Feiguin , Claudio Chamon

The ground states of interacting one-dimensional metals are generically Luttinger liquids. Luttinger liquid theory is usually considered for translation invariant systems. The Luttinger liquid description remains valid for weak…

Strongly Correlated Electrons · Physics 2024-07-16 T. J. Vongkovit , Hansveer Singh , Romain Vasseur , Sarang Gopalakrishnan

We prove an exact duality between the side-coupled and embedded geometries of a single level quantum dot attached to a quantum wire in a Luttinger liquid phase by a tunneling term and interactions. This is valid even in the presence of a…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 Moshe Goldstein , Richard Berkovits

The effects of doping on a one-dimensional wire in a charge density wave state are studied using the density-matrix renormalization group method. We show that for a finite number of extra electrons the ground state becomes conducting but…

Strongly Correlated Electrons · Physics 2011-01-20 Yuval Weiss , Moshe Goldstein , Richard Berkovits

We study the unscreened Coulomb interaction in a one-dimensional electron system at low-energy. We use renormalization group methods and a GW approximation, in order to analyze the model. This yields both a strong wavefunction…

High Energy Physics - Theory · Physics 2007-05-23 S. Bellucci

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

We theoretically study a charge qubit interacting with electrons in a semi-infinite 1D wire. The system displays the physics of the Fermi edge singularity. Our results generalize known results for the Fermi-edge system to the regime where…

Strongly Correlated Electrons · Physics 2013-02-25 A. Sheikhan , I. Snyman
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