# Claudio Verdozzi's research profile

Exakt utbyteskorrelationspotential för en jonisk hubbardmodell

Exact diagonalization 4.1 Hamiltonian operators for strongly correlated electron systems 4.1.1The Hubbard model The Hubbard model represents interacting electrons in narrow bands. It was originally proposed to study metal-insulator transitions and ferro-magnetism of itinerant electrons in narrow bands but it has also acquired Exact diagonalization analysis of the Anderson-Hubbard model and comparison to real-space self-consistent Hartree-Fock solutions X. Chen Department of Physics, Queen’s University, Kingston ON K7L 3N6 Canada P. W. Leung Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong R. J. Gooding Department of Physics, Queen’s University, Kingston ON K7L We present an exact diagonalization C++ template library (EDLib) for solving quantum electron models,including the single-band finite Hubbard cluster and the multi-orbital impurity Anderson model. Theobservables that can be computed using EDLib are single particle Green’s functions and spin–spincorrelation functions. PHYSICAL REVIEW A 85, 065601 (2012) Exact diagonalization of the one-dimensional Bose-Hubbard model with local three-body interactions Tomasz Sowinski´ Institute of Physics of the Polish Academy of Sciences, Aleja Lotnikow 32/46, 02-668 Warsaw, Poland´ Abstract.

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A ground state is found by the conventional Lanczos method , and then used as an initial state for the time-dependent Schrödinger equation. Time evolution is implemented by the Krylov subspace method based on the Lanczos method [36–38].

### Magnetic phases of one-dimensional lattices with 2-4 fermions

We study the effects of both on-site (as in the standard Hubbard model) and longer range interactions whereas the disorder in our model is a random on-site disorder of strength W (with W denoting the width of the square distribution from which the on-site disorder energy We study Mott transition in the two-dimensional Hubbard model on an anisotropic triangular lattice. We use the Lanczos exact diagonalization of finite-size clusters up to eighteen sites, and calculate Drude weight, charge gap, double occupancy and spin structure factor. PHYSICAL REVIEW B99, 054432 (2019) Exact diagonalization study of the Hubbard-parametrized four-spin ring exchange model on a square lattice C. B. Larsen, 1,2 A. T 2021-03-30 · This book gathers a collection of reprints on the Hubbard Model. The major contributions to the subject since its origin are included, with the aim of providing all scientists working on the model and its applications with easy access to the relevant literature.

PHYSICAL REVIEW A 85, 065601 (2012) Exact diagonalization of the one-dimensional Bose-Hubbard model with local three-body interactions Tomasz Sowinski´ Institute of Physics of the Polish Academy of Sciences, Aleja Lotnikow 32/46, 02-668 Warsaw, Poland´
Abstract. Hubbard model is an important model in theory of strongly correlated electron systems. In this contribution we introduce this model along with numerically exact method of diagonalization of the model.Comment: Lectures given in 1st national school on condensed matter. to appear in Iranian J. Phys. Res. (2008
We study Mott transition in the two-dimensional Hubbard model on an anisotropic triangular lattice. We use the Lanczos exact diagonalization of finite-size clusters up to eighteen sites, and calculate Drude weight, charge gap, double occupancy and spin structure factor. A model to describe electronic correlations in energy bands is considered.

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Hubbard model is an important model in the theory of strongly correlated electron systems. In this contribution we introduce this model and the concepts of By exactly diagonalizing the Hubbard model for ten electrons on ten sites in a one-Dimensional (1D) ring, we extend the study of Jafari (2008) to more than two Finite-temperature exact diagonalization cluster dynamical mean-field study of the two-dimensional Hubbard model: Pseudogap, non-Fermi-liquid behavior,. We present results for ground-state properties of the two-dimensional 2D Hubbard model and an evaluation of the specific heat for the 1D and 2D Hubbard model. Using conservation laws (symmetries) for block-diagonalization. H. We can choose For the special point J2/J1=0.5, this model has an exact solution.

The Hubbard model is widely believed to be the model that describes high-temperature superconductivity. Mott and band-insulator transitions in the binary-alloy Hubbard model: Exact diagonalization and determinant quantum Monte Carlo simulations N. Paris, A. Baldwin, and R. T. Scalettar Physics Department, University of California, Davis, California 95616, USA Received 20 September 2006; published 19 April 2007
Exact diagonalization is a numerical technique used in physics to determine the eigenstates and energy eigenvalues of a quantum Hamiltonian. In this technique, a Hamiltonian for a discrete, finite system is expressed in matrix form and diagonalized using a computer. Exact diagonalization is only feasible for systems with a few tens of particles, due to the exponential growth of the Hilbert space dimension with the size of the quantum system. It is frequently employed to study
In this work, we apply the small crystal approach (SCA) to perform an exact diagonalization (ED) of the Hubbard Hamiltonian in order to obtain the full many-body descriptionoftheelectronicexcitationspectrumofAGNRsofdifferentwidths.TheSCAallows us to use a minimal number of sites to sample the most relevant k-points in the Brillouin
DWA-01 Simulating the Bose Hubbard model using dwa QMC code (revisiting tutorial MC-05) DWA-02 Density profile of a 3D optical lattice in a harmonic trap ; DWA-03 Time-of-flight images of a 3D optical lattice in a harmonic trap ; Exact diagonalization.

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For a given amplitude of the alternating potentials Δ, we obtain quantum ground states as we tune the local repulsive energy U between a spin-up electron and a spin-down electron by using an exact diagonalization method of a modified Exact diagonalization: The Bose–Hubbard model as an example 593 term is the interaction part (Hˆ int) and is due to the particle–particle interaction, the strength of which is characterized by the parameter U. The Bose–Hubbard model has been realized with ultracold boson atoms in an optical lattice [4]. Moreover, in this system, the parameters The computational ﬁnite-size approaches on the Hubbard model are roughly classiﬁed into two types. The ﬁrst one is the exact diagonalization using the Lanczos method [10], and the second one is the quantum Monte Calro [7]. The former directly calculates the ground and the low lying ex-cited states of the model, and moreover, obtains various We take the Bose-Hubbard model to illustrate exact diagonalization techniques in a pedagogical way.

225, 128 (2018). Phase transition in a honeycomb lattice is studied by the means of the two-dimensional Hubbard model and the exact diagonalization dynamical mean field theory at zero temperature. At low energies, the dispersion relation is shown to be a linear function of the momentum.

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### Exakt utbyteskorrelationspotential för en jonisk hubbardmodell

Exact diagonalization 4.1 Hamiltonian operators for strongly correlated electron systems 4.1.1The Hubbard model The Hubbard model represents interacting electrons in narrow bands. It was originally proposed to study metal-insulator transitions and ferro-magnetism of itinerant electrons in narrow bands but it has also acquired Exact diagonalization analysis of the Anderson-Hubbard model and comparison to real-space self-consistent Hartree-Fock solutions X. Chen Department of Physics, Queen’s University, Kingston ON K7L 3N6 Canada P. W. Leung Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong R. J. Gooding Department of Physics, Queen’s University, Kingston ON K7L We present an exact diagonalization C++ template library (EDLib) for solving quantum electron models,including the single-band finite Hubbard cluster and the multi-orbital impurity Anderson model. Theobservables that can be computed using EDLib are single particle Green’s functions and spin–spincorrelation functions. PHYSICAL REVIEW A 85, 065601 (2012) Exact diagonalization of the one-dimensional Bose-Hubbard model with local three-body interactions Tomasz Sowinski´ Institute of Physics of the Polish Academy of Sciences, Aleja Lotnikow 32/46, 02-668 Warsaw, Poland´ Abstract. Hubbard model is an important model in theory of strongly correlated electron systems.

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The Hubbard model is widely believed to be the model that describes high-temperature superconductivity. I presented the theory behind this model in a manner accessible to senior-year physics majors in Chapter 2 of my undergraduate thesis. Exact diagonalization is a numerical technique used in physics to determine the eigenstates and energy eigenvalues of a quantum Hamiltonian. In this technique, a Hamiltonian for a discrete, finite system is expressed in matrix form and diagonalized using a computer.

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Mott and band-insulator transitions in the binary-alloy Hubbard model: Exact diagonalization and determinant quantum Monte Carlo simulations N. Paris, A. Baldwin, and R. T. Scalettar Physics Department, University of California, Davis, California 95616, USA Received 20 September 2006; published 19 April 2007 Finite temperature electronic and magnetic properties of small clusters are investigated in the framework of the Hubbard model by using exact diagonalization methods and by sampling the different cluster topologies exhaustively. Results are discussed for the specific heat C(T), magnetic susceptibility χ(T), local magnetic moments μi(T), average magnetic moments $\\overline\\mu_N(T)$ and spin DOI: 10.19026/RJASET.6.3517 Corpus ID: 14141701. Exact Diagonalization of the Hubbard Model: Ten-electrons on Ten-sites @article{Kingsley2013ExactDO, title={Exact Diagonalization of the Hubbard Model: Ten-electrons on Ten-sites}, author={Onaiwu N. Kingsley and Okanigbuan O. Robinson}, journal={Research Journal of Applied Sciences, Engineering and Technology}, year={2013}, volume={6}, pages Exact Diagonalization Study of an Extended Hubbard Model 1013 up,butwithratherreducedheight. Onthecontrary,for the case of U=t 1 = 5:0, illustrated in Fig. 1b, only the high-temperaturepeakofspeciﬁcheatissensitivetot 2, whilethelow-temperaturemaximumshowsnotendency toshiftandtheintermediatemaximumappears.

High Performance Eigenvalue Solver in. Exact-diagonalization Method for. Hubbard Model on CUDA GPU. Susumu YAMADA a,c,1, Toshiyuki IMAMURA b,c Jan 23, 2009 Hubbard models. 20 sites square lattice at half filling, 20 sites quantum dot structure. 22-25 sites in ultracold atoms setting up to 80 billion basis Your result only holds in the U/t≫1 limit. A brute-force method to obtain the result is by exact diagonalization in the Fock space basis, where all the operators are When a finite element analysis model contains hyperelastic materials, engineers usually have little substantial data to help get the results.