Abstract and Figures 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

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

The model is a generalization of the conventional Hubbard model that allows for the fact that the wave function for two electrons occupying the same Wannier orbital is different from the product of single-electron wave functions. We diagonalize the Hamiltonian exactly on a four-site cluster and study its properties as a Exact Diagonalization: Applications Quantum Magnets: nature of novel phases, critical points in 1D, dynamical correlation functions in 1D & 2D Fermionic models (Hubbard/t-J): gaps, pairing properties, correlation exponents, etc Fractional Quantum Hall states: energy gaps, overlap with model states, entanglement spectra The two-chain 2C Hubbard model is the sim- . plest and most basic one which is possibly able to exhibit superconductivity due to the Coulomb inter-action. This model can be rewritten into a two-band model consisting of bonding and antibonding bands wx1 . Exact-diagonalization studies of the 2C Hubbard) Corresponding author. We present an alternative scheme to the widely used method of representing the basis of one-band Hubbard model through the relation I =I ↑ +2 M I >↓ given by Lin and Gubernatis (1993), where I_↑, I_↓ and I are the integer equivalents of binary representations of occupation patterns of spin up, spin down and both spin up and spin down electrons respectively 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].

Hubbard model exact diagonalization

Phys. Commun. 225, 128 (2018). 2011-08-22 · 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. In the limit of weak interactions, the system is in the semi-metal phase.

solving the Hubbard model using dynamical mean field theory with a new stochastic version of the exact diagonalization solver. Kährs Group - Americas-bild

Model of level statistics for disordered interacting quantum many-body systems Polynomially filtered exact diagonalization approach to many-body Many-body localization with synthetic gauge fields in disordered Hubbard chains. in-house developed software for solving the Hubbard model using dynamical field theory with a new stochastic version of the exact diagonalization solver.

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

Band fillings corresponding to four and six electrons were studied (two or four holes in the half-filled band) for a wide range of Hubbard interaction strengths and temperatures. These models give rise to pairing of holes and superconductivity in certain parameter ranges. Here we explore the changes in carrier effective mass and quasiparticle weight and in one- and two-particle spectral functions that occur in a dynamic Hubbard model upon pairing, by exact diagonalization of small systems. We use the exact-diagonalization results for a one-dimensional finite-size boson Hubbard-like Hamiltonians to initialize the renormalization-group equations in the vicinity of the superfluid-insulator transition and demonstrate that this provides a rather accurate method of extrapolation of the finite-size results to larger system sizes, and in particular, pinpointing the critical parameters of the Hamiltonians.

multi-orbital Hubbard model, Heisenberg model, Kondo lattice model). 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. In addition, dynamical Green’s functions can be calculated using Kω, which is a library of the shifted Krylov subspace method.
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In this contribution we introduce this model and the concepts of An exact diagonalization package for a wide range of quantum lattice models ( e.g.

In this contribution we introduce this model and the concepts of electron correlation by building on a tight binding model. After enumerating various methods of tackling the Hubbard model, we introduce the numerical method of exact diagonalization in detail.
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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. The book is divided into five parts

Time evolution is implemented by the Krylov subspace method based on the Lanczos method [36–38]. Abstract.