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We investigate an extended version of the periodic Anderson model (the so-called periodic Anderson-Hubbard model) with the aim to understand the role of interaction between conduction electrons in the formation of the heavy-fermion and…

Strongly Correlated Electrons · Physics 2013-05-30 I. Hagymasi , K. Itai , J. Solyom

The mean-field theory with the use of the slave-boson functional method is generalized to take account of the spin- and orbital-ordered state in the doubly degenerate Hubbard model. Some numerical calculations are presented of the…

Strongly Correlated Electrons · Physics 2007-05-23 Hideo Hasegawa

Ground state properties of multi-orbital Hubbard models are investigated by the auxiliary field quantum Monte Carlo method. A Monte Carlo technique generalized to the multi-orbital systems is introduced and examined in detail. The algorithm…

Strongly Correlated Electrons · Physics 2009-10-31 Yukitoshi Motome , Masatoshi Imada

Calculations of the ground state of inhomogeneous many-electron systems involve a solving of the Poisson equation for Coulomb potential and the Schroedinger equation for single-particle orbitals. Due to nonlinearity and complexity this set…

Materials Science · Physics 2009-11-11 A. Ya. Shul'man

We solve the two-channel Anderson impurity model using the Bethe-Ansatz. We determine the ground state and derive the thermodynamics, obtaining the impurity entropy and specific heat over the full range of temperature. We show that the low…

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

We study analytically a system made up of a quantum ring with a dipolar impurity and under the effect of an Aharonov-Bohm field. We calculate the exact values of the energies and we also get the exact expressions of the wave functions.

Quantum Physics · Physics 2021-02-16 Mourad Baazouzi , Mustafa Moumni , Mokhtar Falek

In this work, we analyze in detail the occurrence of divergences in the irreducible vertex functions for one of the fundamental models of many-body physics: the Anderson impurity model (AIM). These divergences -- a surprising hallmark of…

Strongly Correlated Electrons · Physics 2018-07-03 P. Chalupa , P. Gunacker , T. Schäfer , K. Held , A. Toschi

We present a theoretical approach to determine the electronic properties of nanoscale systems exhibiting strong electron-electron and electron-phonon interactions and coupled to metallic electrodes. This approach is based on an…

Strongly Correlated Electrons · Physics 2009-11-13 A. Martin-Rodero , A. Levy Yeyati , F Flores , R. C. Monreal

We develop an efficient method to calculate the third-order corrections to the self-energy of the hole-doped two-dimensional Hubbard model in space-time representation. Using the Dyson equation we evaluate the renormalized spectral function…

Strongly Correlated Electrons · Physics 2009-10-31 V. Zlatic , B. Horvatic , B. Dolicki , S. Grabowski , P. Entel , K. -D. Schotte

The Hubbard model, a cornerstone in the field of condensed matter physics, serves as a fundamental framework for investigating the behavior of strongly correlated electron systems. This paper presents a novel perspective on the model,…

Strongly Correlated Electrons · Physics 2025-05-23 Xiao-Yong Feng

We use the numerically unbiased determinant quantum Monte Carlo (DQMC) method to systematically investigate the three-orbital Emery model in the normal state in a wide range of local interactions, charge transfer energy, and doping levels.…

Strongly Correlated Electrons · Physics 2025-11-14 Yan Peng , Mi Jiang

A hyperbolic integro-differential equation is considered, as a model problem, where the convolution kernel is assumed to be either smooth or no worse than weakly singular. Well-posedness of the problem is studied in the context of semigroup…

Numerical Analysis · Mathematics 2013-03-12 Fardin Saedpanah

Various auxiliary-particle approaches to treat electron correlations in many-electron models are analyzed. Applications to copper-oxide layered systems are discussed. The ground-state magnetic phase diagrams are considered within the…

Strongly Correlated Electrons · Physics 2019-02-21 V. Yu. Irkhin , P. A. Igoshev

We investigate a multi-orbital extension of the periodic Anderson model with particular emphasis on electron correlations including orbital fluctuations. By means of a linearized version of the dynamical mean-field theory, we compute the…

Strongly Correlated Electrons · Physics 2009-11-10 Ryota Sato , Takuma Ohashi , Akihisa Koga , Norio Kawakami

For many physical quantities, theory supplies weak- and strong-coupling expansions of the types $\sum a_n \alpha ^n$ and $ \alpha ^p\sum b_n (\alpha^{-2/q) ^n$, respectively. Either or both of these may have a zero radius of convergence. We…

Quantum Physics · Physics 2009-10-28 H. Kleinert

A systematically improvable wave function is proposed for the numerical solution of strongly correlated systems. With a stochastic optimization method, based on the auxiliary field quantum Monte Carlo technique, an effective temperature…

Strongly Correlated Electrons · Physics 2022-03-22 Sandro Sorella

We use the slave-spin mean-field approach to study particle-hole symmetric one- and two-band Hubbard models in presence of Hund's coupling interaction. By analytical analysis of Hamiltonian, we show that the locking of the two orbitals…

Strongly Correlated Electrons · Physics 2017-09-13 Yashar Komijani , Gabriel Kotliar

Perturbative schemes utilizing a spectral moment expansion are well known and extensively used for investigating the physics of model Hamiltonians and real material systems. The advantages they offer, in terms of being computationally…

Strongly Correlated Electrons · Physics 2016-11-09 Nagamalleswararao Dasari , Wasim Raja Mondal , Peng Zhang , Juana Moreno , Mark Jarrell , N. S. Vidhyadhiraja

In this paper a fast impurity solver is proposed for dynamical mean field theory (DMFT) based on a decoupling of the equations of motion for the impurity Greens function. The resulting integral equations are solved efficiently with a method…

Strongly Correlated Electrons · Physics 2009-06-10 Qingguo Feng , Yuzhong Zhang , Harald O. Jeschke

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