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We study the exact solution for two atomic particles in an optical lattice interacting via a Feshbach resonance. The analysis includes the influence of all higher bands, as well as the proper renormalization of molecular energy in the…

Quantum Gases · Physics 2015-05-14 H. P. Büchler

Diagrammatic approach proposed many years ago for strong correlated Hubbard model is developed for analyzing of the thermodynamic potential properties. The new exact relation between such renormalized quantities as thermodynamic potential,…

Strongly Correlated Electrons · Physics 2015-05-14 V. A. Moskalenko , L. A. Dohotaru , I. D. Cebotari

The Hubbard Hamiltonian is investigated by means of a variational trial wave function of Gutzwiller's type. The wave function includes nearest - neighbor correlations in an explicit form. To calculate density matrices the method of…

Strongly Correlated Electrons · Physics 2009-10-30 Yu. B. Kudasov

The optical conductivity of the one-band Hubbard model is calculated using the 'Dynamical Cluster Approximation' implementation of dynamical mean field theory for parameters appropriate to high temperature copper-oxide superconductors. The…

Strongly Correlated Electrons · Physics 2009-10-29 Nan Lin , Emanuel Gull , A. J. Millis

The mechanism of high-Tc superconductivity is investigated with interests on the microscopic aspects of the condensation energy. The theoretical analysis is performed on the basis of the FLEX approximation which is a microscopic description…

Superconductivity · Physics 2009-11-10 Youichi Yanase , Masao Ogata

We study inhomogeneous one-dimensional Hubbard systems using the density matrix renormalization group method. Different heterostructures are investigated whose configuration is modeled varying parameters like the on-site Coulomb potential…

Strongly Correlated Electrons · Physics 2009-11-13 Yesenia Arredondo , Hartmut Monien

In the present work, we have adopted a kinematic approach for constraining the extended null diagnostic of concordance cosmology, known as the statefinder hierarchy. A Taylor series expansion of the Hubble parameter has been utilised for…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-08 Ankan Mukherjee , Niladri Paul , H. K. Jassal

The chemical potential of the electron gas on a one-dimensional lattice is determined within the discrete Hubbard model. The result will have applications in studies of transport properties of quasi one-dimensional organic conductors such…

Condensed Matter · Physics 2007-05-23 V. Celebonovic

The magnetic susceptibility of the two-dimensional repulsive Hubbard model with nearest-neighbor hopping is investigated using the diagram technique developed for the case of strong correlations. In this technique a power series in the…

Strongly Correlated Electrons · Physics 2009-11-13 Alexei Sherman , Michael Schreiber

We calculate the one-electron spectral function of the attractive-U Hubbard model in two dimensions. We work in the intermediate coupling and low density regime and evaluate analytically the self-energy. The results are obtained in a…

Strongly Correlated Electrons · Physics 2009-10-31 M. Yu. Kagan , R. Fresard , M. Capezzali , H. Beck

The effects of electronic correlations and orbital degeneracy on thermoelectric properties are studied within the context of multi-orbital Hubbard models on different lattices. We use dynamical mean field theory with iterative perturbation…

Strongly Correlated Electrons · Physics 2015-06-16 Mehdi Kargarian , Gregory A. Fiete

Using the Dyson equation of motion for both the diagonal one-particle Green function, $G(\vec{k},\omega)$ and off--diagonal Green function, $F(\vec{k},\omega)$, at the level of the Hubbard--I decoupling scheme, we have found that they have…

Strongly Correlated Electrons · Physics 2016-08-15 J. J. Rodríguez--Núñez , H. Ghosh

In this tutorial we will tackle the problem of electronic correlations in quasi-one-dimensional organic superconductors. We will go through different pieces of experimental evidence showing the range of applicability of the Fermi and…

Strongly Correlated Electrons · Physics 2008-02-03 Claude Bourbonnais

Recent progress in experimental techniques has made it possible to extract detailed information on dynamics of carriers in a correlated electron material from its optical conductivity, $\sigma(\Omega, T)$. This review consists of three…

Strongly Correlated Electrons · Physics 2017-06-09 Dmitrii L. Maslov , Andrey V. Chubukov

The Bechgaard salts are made of weakly coupled one dimensional chains. This particular structure gives the possibility to observe in these systems a dimensional crossover between a high temperature (or high energy) one dimensional phase and…

Strongly Correlated Electrons · Physics 2007-05-23 T. Giamarchi , S. Biermann , A. Georges , A. Lichtenstein

The Dynamic Hubbard Model represents the physics of a multi-band Hubbard model by using a pseudo-spin degree of freedom to dynamically modify the on-site Coulomb interaction. Here we use a dimer system to obtain analytical results for this…

Strongly Correlated Electrons · Physics 2012-11-21 G. H. Bach , F. Marsiglio

The optical conductivity, $\sigma(\omega)$, of the two dimensional one-band Hubbard model is calculated at finite temperature using exact diagonalization techniques on finite clusters. The in-plane d.c. resistivity, $\rho_{ab}$, is also…

Condensed Matter · Physics 2009-10-22 Jose A. Riera , Elbio Dagotto

Using the recently introduced multiloop extension of the functional renormalization group, we compute the magnetic, density, and superconducting susceptibilities of the two-dimensional Hubbard model at weak coupling and present a detailed…

Strongly Correlated Electrons · Physics 2023-08-16 Sarah Heinzelmann , Alessandro Toschi , Sabine Andergassen

A diagrammatic kinetic theory of density fluctuations in simple dense liquids at long times, described in the preceding paper, is applied to a high density Lennard-Jones liquid to calculate various equilibrium time correlation functions.…

Statistical Mechanics · Physics 2015-06-18 Kevin R. Pilkiewicz , Hans C. Andersen

A new one-dimensional fermion model depending on two independent interaction parameters is formulated and solved exactly by the Bethe ansatz method. The Hamiltonian of the model contains the Hubbard interaction and correlated hopping as…

Condensed Matter · Physics 2009-10-28 R. Z. Bariev , A. Klümper , J. Zittartz