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We use bosonization methods to calculate the exact finite-temperature single-electron Green's function of a spinful Luttinger liquid confined by open boundaries. The corresponding local spectral density is constructed and analyzed in…

Strongly Correlated Electrons · Physics 2009-10-30 Ann E. Mattsson , Sebastian Eggert , Henrik Johannesson

We present a study of the one-particle spectral properties for a variety of models of Luttinger liquids with open boundaries. We first consider the Tomonaga-Luttinger model using bosonization. For weak interactions the boundary exponent of…

Strongly Correlated Electrons · Physics 2015-06-24 V. Meden , W. Metzner , U. Schollwoeck , O. Schneider , T. Stauber , K. Schoenhammer

We calculate one-particle spectra for a variety of models of Luttinger liquids with open boundary conditions. For the repulsive Hubbard model the spectral weight close to the boundary is enhanced in a large energy range around the chemical…

Strongly Correlated Electrons · Physics 2009-10-31 K. Schoenhammer , V. Meden , W. Metzner , U. Schollwoeck , O. Gunnarsson

The spin-incoherent regime of one-dimensional electrons has recently been explored using the Bethe ansatz and a bosonized path integral approach, revealing that the spin incoherence dramatically influences the correlations of charge…

Strongly Correlated Electrons · Physics 2007-10-23 Paata Kakashvili , Henrik Johannesson

We examine the spectral function of the single electron Green function at finite temperatures for the Tomonaga-Luttinger model which consists of the mutual interaction with only the forward scattering. The spectral weight, which is…

Strongly Correlated Electrons · Physics 2009-10-30 N. Nakamura , Y. Suzumura

Universal low-energy properties are studied for three identical bosons confined in two dimensions. The short-range pair-wise interaction in the low-energy limit is described by means of the boundary condition model. The wave function is…

Atomic Physics · Physics 2009-11-11 O. I. Kartavtsev , A. V. Malykh

The ground state properties and low-lying excitations of a (quasi) one-dimensional system of longitudinally confined interacting bosons are studied. This is achieved by extending Haldane's harmonic-fluid description to open boundary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. A. Cazalilla

We study the influence of reflective boundaries on time-dependent responses of one-dimensional quantum fluids at zero temperature beyond the low-energy approximation. Our analysis is based on an extension of effective mobile impurity models…

Strongly Correlated Electrons · Physics 2016-06-01 I. S. Eliëns , F. B. Ramos , J. C. Xavier , R. G. Pereira

A new approach to the Helmholtz spectrum for arbitrarily shaped boundaries and a rather general class of boundary conditions is introduced. We derive the boundary induced change of the density of states in terms of the free Green's function…

Statistical Mechanics · Physics 2009-11-11 Thorsten Emig

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

The real part of the self-energy of interacting two-dimensional electrons has been calculated in the t-matrix approximation. It is shown that the forward scattering results in an anomalous term leading to the vanishing renormalization…

Strongly Correlated Electrons · Physics 2009-10-30 Ken Yokoyama , Hidetoshi Fukuyama

It is shown that the universal behavior of the spacing distribution of nearest energy levels at the metal--insulator Anderson transition is indeed dependent on the boundary conditions. The spectral rigidity $\Sigma^2(E)$ also depends on the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Braun , G. Montambaux , M. Pascaud

We study the electronic spectral properties in two examples of strongly interacting systems: a Mott-Hubbard insulator with additional electron-boson interactions, and a polaronic semiconductor. An approximate unified framework is developed…

Strongly Correlated Electrons · Physics 2009-11-11 S. Fratini , S. Ciuchi

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

We derive the bosonization rules for free fermions on a half-line with physically sensible boundary conditions for Luttinger fermions. We use path-integral methods to calculate the bosonized fermionic currents on the half-line and derive…

Condensed Matter · Physics 2009-10-28 Manuel Fuentes , Ana Lopez , Eduardo Fradkin , Enrique Moreno

The disorder averaged single-particle Green's function of electrons subject to a time-dependent random potential with long-range spatial correlations is calculated by means of bosonization in arbitrary dimensions. For static disorder our…

Condensed Matter · Physics 2009-10-28 Peter Kopietz

Lattice modulation spectroscopy is a powerful tool for probing low-energy excitations of interacting many-body systems. By means of bosonization we analyze the absorbed power in a one dimensional interacting quantum gas of bosons or…

Quantum Gases · Physics 2020-08-19 Roberta Citro , Eugene Demler , Thierry Giamarchi , Michael Knap , Edmond Orignac

A system composed of two-level systems interacting with a single excitation of a one-dimensional boson field with continuous spectrum, described by a Friedrichs (or Friedrichs-Lee) model, can exhibit bound states and resonances; the latter…

Mathematical Physics · Physics 2022-04-25 Davide Lonigro

A microscopic theory for electronic spectrum of the CuO2 plane within an effective p-d Hubbard model is proposed. Dyson equation for the one-electron Green function in terms of the Hubbard operators is derived which is solved…

Strongly Correlated Electrons · Physics 2009-11-11 N. Plakida , V. Oudovenko

The one electron spectral functions for the Luttinger model are discussed for large but finite systems. The methods presented allow a simple interpretation of the results. For finite range interactions interesting nonunivesal spectral…

Condensed Matter · Physics 2009-10-22 K. Schönhammer , V. Meden
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