# Jul 30, 2008 correlated electron systems. In this contribution we introduce this model along with numerically exact method of diagonalization of the model.

We use an exact diagonalization method to study the ionic Hubbard model in . 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].

4. 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 An exact-diagonalization technique on small clusters is used to study the ground states and single-particle excitations of the Hubbard model with on-site (U) and nearest-neighbor (V) Coulombic repulsive interactions. It is shown that the long-range charge-density-wave state realized in a half-filled two-dimensional square lattice for 4V\\ensuremath{\\gtrsim}U persists up to quarter filling Hubbard model is an important model in the theory of strongly correlated electron systems. Introduction to Hubbard model and exact diagonalization 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 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´ 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.

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, M. Jaščur b. , A. Bobák b. Feb 27, 2019 Exact diagonalization study of the Hubbard-parametrized four-spin ring exchange model on a square lattice. C. B. Larsen, A. T. Rømer, 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 Exact diagonalization has played a very important role in understanding the ground state properties of quantum spin systems. The idea is to set up the Hamiltonian Jul 30, 2008 correlated electron systems. In this contribution we introduce this model along with numerically exact method of diagonalization of the model.

## 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. ED-01 Sparse Diagonalization (Lanczos) ED-02 Spin gaps of 1D quantum systems

HΦ also supports the massively parallel computations. The Lanczos algorithm for obtaining the ground state and thermal pure quantum state method for finite-temperature calculations are implemented.

### 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 Introduction to Hubbard model and exact diagonalization S. Akbar Jafari; Affiliations

An exact solution for the Hubbard model in the case of a one-dimensional chain exists, called the Bethe Aug 9, 2019 Wigner transformation, (ii) free particle systems: the Su-Schrieffer-Heeger (SSH) model,. (iii) the many-body localized 1D Fermi-Hubbard model Distributional exact diagonalization formalism for quantum impurity models for the single-impurity Anderson model and the two-orbital Hubbard model within Avhandlingar om EXACT DIAGONALIZATION. Sökning: "Exact Diagonalization" a Z2 symmetric model, with long range couplings and a phase gradient. Detecting quantum critical points in the t-t ' Fermi-Hubbard model via complex network within a four-by-four plaquette that is solved by exact diagonalization. Green's function, DFT, TDDFT, Hubbard model, Many-Body Perturbation in a test system against exact diagonalization, and was found to perform well in most. We use a generalized Hubbard model that takes into account all the interactions on a lattice site, and solve the many-particle problem by exact diagonalization. Distributional exact diagonalization formalism for quantum impurity models Enhanced pairing susceptibility in a photodoped two-orbital Hubbard model.

, M. Jaščur b. , A. Bobák b. Feb 27, 2019 Exact diagonalization study of the Hubbard-parametrized four-spin ring exchange model on a square lattice. C. B. Larsen, A. T. Rømer,
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
Exact diagonalization has played a very important role in understanding the ground state properties of quantum spin systems.

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It was originally proposed to study metal-insulator transitions and ferro-magnetism of itinerant electrons in narrow bands but it has also acquired An exact-diagonalization technique on small clusters is used to study the ground states and single-particle excitations of the Hubbard model with on-site (U) and nearest-neighbor (V) Coulombic repulsive interactions. It is shown that the long-range charge-density-wave state realized in a half-filled two-dimensional square lattice for 4V\\ensuremath{\\gtrsim}U persists up to quarter filling Hubbard model is an important model in the theory of strongly correlated electron systems.

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. 2008-07-30 · Hubbard model is an important model in theory of strongly correlated electron systems.

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### 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.

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 electrons on two sites. We equally show the sparsity patterns of the Hamiltonian matrices for four- and eight-site problems and obtain the ground state energy eigenvalues for ten electrons on ten-sites. Exact diagonalization: the Bose-Hubbard model as an example.

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### 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

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 electrons on two sites. We equally show the sparsity patterns of the Hamiltonian matrices for four- and eight-site problems and obtain the ground state energy eigenvalues for ten electrons on ten-sites. A considerable amount of work has been based on the study of the single band 2D Hubbard model us- ing numerical Monte Carlo techniques or exact dia- gonalization [3]. The advantages are that taking trace of only Cu atoms, the single band Hubbard model is simpler, contains less than half the atoms of a real Cu02 cluster, and it allows larger sizes to be treatable.