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The Tomonaga-Luttinger model with impurity is studied by means of flow equations for Hamiltonians. The system is formulated within collective density fluctuations but no use of the bosonization formula is made. The truncation scheme…

强关联电子 · 物理学 2016-08-31 T. Stauber

The conductance of one-dimensional interacting electron systems is calculated in a manner similar to Landauer's argument for non-interacting systems. Unlike in previous studies in which the Kubo formula was used, the conductance is directly…

介观与纳米尺度物理 · 物理学 2015-06-25 Akira Shimizu

Finite temperature properties of a non-Fermi liquid system is one of the most challenging probelms in current understanding of strongly correlated electron systems. The paradigmatic arena for studying non-Fermi liquids is in one dimension,…

强关联电子 · 物理学 2018-07-18 Garry Bowen , Miklos Gulacsi

Quantum dynamics is very sensitive to dimensionality. While two-dimensional electronic systems form Fermi liquids, one-dimensional systems -- Tomonaga-Luttinger liquids -- are described by purely bosonic excitations, even though they are…

The Landauer transport formulation is generalized to the case of a dynamic scatterer with an arbitrary energy level structure, weakly coupled to a long ideal noninteracting wire. The two-terminal linear conductance of the device is…

介观与纳米尺度物理 · 物理学 2016-08-31 Yoseph Imry , Ora Entin-Wohlman , Amnon Aharony

Thermoelectric transport in nanoscale conductors is analyzed in terms of the response of the system to a thermo-mechanical field, first introduced by Luttinger, which couples to the electronic energy density. While in this approach the…

介观与纳米尺度物理 · 物理学 2014-09-12 F. G. Eich , A. Principi , M. Di Ventra , G. Vignale

The chiral Luttinger liquid model for the edge dynamics of a two-dimensional electron gas in a strong magnetic field is derived from coarse-graining and a lowest Landau level projection procedure at arbitrary filling factors $\nu<1$ --…

介观与纳米尺度物理 · 物理学 2009-11-10 Roberto D'Agosta , Roberto Raimondi , Giovanni Vignale

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…

凝聚态物理 · 物理学 2009-10-28 M. Fabrizio , Alexander O. Gogolin

We define a `hyperconductor' to be a material whose electrical and thermal DC conductivities are infinite at zero temperature and finite at any non-zero temperature. The low-temperature behavior of a hyperconductor is controlled by a…

强关联电子 · 物理学 2016-04-06 Eugeniu Plamadeala , Michael Mulligan , Chetan Nayak

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…

强关联电子 · 物理学 2014-12-09 D. N. Aristov , P. Wölfle

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…

强关联电子 · 物理学 2009-11-07 Siddhartha Lal , Sumathi Rao , Diptiman Sen

We summarize results on the asymptotics of the two-particle Green functions of interacting electrons in one dimension. Below a critical value of the chemical potential the Fermi surface vanishes, and the system can no longer be described as…

凝聚态物理 · 物理学 2007-05-23 F. Göhmann

By properly generalizing Nozie`res' Fermi liquid theory, we construct an Hamiltonian approach to the scattering of conduction electrons off a spin-1/2 impurity in the ovescreneed Kondo regime, as T -> 0. We derive the S-matrix at the…

介观与纳米尺度物理 · 物理学 2009-11-10 Domenico Giuliano , Arturo Tagliacozzo

We compute the transport properties of one dimensional interacting electrons, also known as a Luttinger liquid. We show that a renormalization group study allows to obtain the temperature dependence of the conductivity in an intermediate…

强关联电子 · 物理学 2015-06-24 T. Giamarchi , T. Nattermann , P. Le Doussal

The conductivity in quasi two-dimensional systems is calculated using the quantum kinetic equation. Linearizing the Lenard-Balescu collision integral with the extension to include external field dependences allows one to calculate the…

强关联电子 · 物理学 2009-11-07 Klaus Morawetz

The instabilities induced on a two-dimensional system of correlated electrons by the anisotropies of its Fermi line are analyzed on general grounds. Simple scaling arguments allow to predict the opening of a superconducting gap with a…

强关联电子 · 物理学 2009-10-31 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

We extend a Gaussian model for the internal electrical potential of a two-dimensional Coulomb gas by a non-Gaussian measure term, which singles out the physically relevant configurations of the potential. The resulting Hamiltonian,…

统计力学 · 物理学 2008-11-26 Georg Foltin

A general nonperturbative theory of the low-energy electron propagator is developed and used to calculate the single-particle density of states in a variety of systems. This method involves the decoupling of the electron-electron…

强关联电子 · 物理学 2008-09-17 Kelly R. Patton

We study the dynamics of a heavy particle of mass $M$ moving in a one-dimensional repulsively interacting Fermi gas. The Fermi gas is described using the Luttinger model and bosonization. By transforming to a frame co-moving with the heavy…

凝聚态物理 · 物理学 2009-10-28 A. H. Castro Neto , Matthew P. A. Fisher

We consider the two-terminal conductance of a one-dimensional Mott insulator undergoing the commensurate-incommensurate quantum phase transition to a conducting state. We treat the leads as Luttinger liquids. At a specific value of…

介观与纳米尺度物理 · 物理学 2008-01-23 M. Garst , D. S. Novikov , Ady Stern , L. I. Glazman
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