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In this paper, a new inversion model for 2D microwave imaging is introduced by means of a convenient rewriting of the usual Lippmann Schwinger integral scattering equation. Such model is derived by decomposing the Greens function and the…

Signal Processing · Electrical Eng. & Systems 2021-03-01 Martina T. Bevacqua , Tommaso Isernia

We compute exactly the low-energy single-electron Green's function, the impurity and electron self-energies, and the resistivity for the two-channel Anderson impurity model. These results are obtained by exploiting the boundary conformal…

Strongly Correlated Electrons · Physics 2007-05-23 H. Johannesson , C. J. Bolech , N. Andrei

A relativistic Green function approach to the inclusive quasielastic (e,e') scattering is presented. The single particle Green function is expanded in terms of the eigenfunctions of the nonhermitian optical potential. This allows one to…

Nuclear Theory · Physics 2009-11-10 Andrea Meucci , Franco Capuzzi , Carlotta Giusti , Franco Davide Pacati

The finite-bandwidth conductance of a Luttinger liquid (LL) with a cluster of impurities is studied and its variation with respect to temperature is shown. The calculations are done using the correlation functions obtained using the…

Strongly Correlated Electrons · Physics 2019-07-08 Joy Prakash Das , Girish S. Setlur

The electron-boson spectral density (or glue) function can be obtained from measured optical scattering rate by solving a generalized Allen formula, which relates the two quantities with an integral equation and is an inversion problem.…

Strongly Correlated Electrons · Physics 2021-12-30 Hwiwoo Park , Jun H. Park , Jungseek Hwang

In this paper, we propose a unified formalism, using Green's functions, to integrate out the electrons in an insulator under uniform electromagnetic fields. We derive a perturbative formula for the Green's function in the presence of…

Other Condensed Matter · Physics 2013-05-29 Kuang-Ting Chen , Patrick A. Lee

Exactly solved models provide rigorous understanding of many-body phenomena in strongly correlated systems. In this article, we report a breakthrough in uncovering universal many-body correlated properties of quantum integrable Lieb-Liniger…

Quantum Gases · Physics 2025-09-24 Song Cheng , Yang-Yang Chen , Xi-Wen Guan , Wen-Li Yang , Rubem Mondaini , Hai-Qing Lin

We study Friedel oscillations in one-dimensional electron liquid for arbitrary electron-electron interaction and arbitrary impurity strength. For Luttinger liquid leads, the Friedel oscillations decay as x^-g far away from the impurity,…

Condensed Matter · Physics 2009-10-28 Reinhold Egger , Hermann Grabert

Using a functional renormalization group we compute the flow of the renormalized impurity potential for a single impurity in a Luttinger liquid over the entire energy range - from the microscopic scale of a lattice-fermion model down to the…

Strongly Correlated Electrons · Physics 2009-11-07 V. Meden , W. Metzner , U. Schollwoeck , K. Schoenhammer

A general and transparent procedure to bosonize fermions placed on a lattice is presented. Harmonics higher than $k_F$ are shown to appear in the one-paticle Green function, due to the compact character of real electron bands. Quantitative…

Condensed Matter · Physics 2016-08-16 Jaime Ferrer , J. González , M. -A. Martín-Delgado

Symmetry-breaking perturbations destabilize the critical points of the two-channel and two-impurity Kondo models, thereby leading to a crossover from non-Fermi liquid behavior to standard Fermi liquid physics. Here we use an analogy between…

Strongly Correlated Electrons · Physics 2011-09-21 Eran Sela , Andrew K. Mitchell , Lars Fritz

We study the spectral function of interacting one-dimensional fermions for an integrable lattice model away from half-filling. The divergent power-law singularity of the spectral function near the single-particle or single-hole energy is…

Strongly Correlated Electrons · Physics 2009-04-24 Rodrigo G. Pereira , Steven R. White , Ian Affleck

We consider zero temperature behavior of dynamic response functions of 1D systems near edges of support in momentum-energy plane $(k, \omega).$ The description of the singularities of dynamic response functions near an edge $\epsilon(k)$ is…

Strongly Correlated Electrons · Physics 2009-03-27 Adilet Imambekov , Leonid I. Glazman

We establish a correspondence between the resummation of world lines and the diagonalization of the Hamiltonian for a strongly correlated electronic system. For this purpose, we analyze the functional integrals for the partition function…

Strongly Correlated Electrons · Physics 2011-11-09 Raymond Fresard , Henni Ouerdane , Thilo Kopp

In a recent series of scanning probe experiments, it became possible to visualize local electron flow in a two-dimensional electron gas. In this paper, a Green's function technique is presented that enables efficient calculation of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. Metalidis , P. Bruno

With the eigen-functional bosonization method, we study one-dimensional strongly correlated electron systems with large momentum ($2k_{F}$ and/or $4k_{F}$) transfer term(s), and demonstrate that this kind of problems ends in to solve the…

Strongly Correlated Electrons · Physics 2007-05-23 Yu-Liang Liu

We expand on our earlier work (cond-mat/0612130, Phys. Rev. Lett. {\bf 99}, 46404 (2007)) in which we constructed the exact low-energy theory of a doped Mott insulator by explicitly integrating (rather than projecting) out the degrees of…

Strongly Correlated Electrons · Physics 2009-11-13 Ting-Pong Choy , Robert G. Leigh , Philip Phillips , Philip D. Powell

We apply the recently developed extremely correlated Fermi liquid theory to the Anderson impurity model, in the extreme correlation limit. We develop an expansion in a parameter \lambda, related to n_d, the average occupation of the…

Strongly Correlated Electrons · Physics 2026-01-14 B. Sriram Shastry , Edward Perepelitsky , Alex C. Hewson

We present a spectral weight conserving formalism for Fermionic thermal Green's functions that are discretized in imaginary time and thus periodic in imaginary ("Matsubara") frequency. The formalism requires a generalization of the Dyson…

Strongly Correlated Electrons · Physics 2012-03-28 Mats Granath , Andro Sabashvili , Hugo U. R. Strand , Stellan Östlund

The Low equation is derived in a functional approach to the reduction of the S matrix in the canonical formalism. This establishes the vacuum expectation value of the scattering matrix as the generating functional of non-forward Green…

Nuclear Theory · Physics 2011-09-16 Mark W. Paris
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