High Performance Eigenvalue Solver in. Exact-diagonalization Method for. Hubbard Model on CUDA GPU. Susumu YAMADA a,c,1, Toshiyuki IMAMURA b,c

2021-03-24

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The finite-size corrections in exact diagonalization studies of the one- and two- dimensional Hubbard model can be reduced systematically by a grand-canonical Using the set of basis state described above, we can construct the Hamiltonian matrix H for the Hubbard model. The problem of finding the ground state of the 20 The Exact Diagonalization method is a powerful numerical tool to study Quan- J and Hubbard models using exact diagonalization (ED) and quantum Monte. nature of the ground state in the 2D Hubbard model through the finite-size exact diagonalization technique. By comparing with the corresponding 1D Hubbard … We study the t-J and the Hubbard models at zero temperature using exact- diagonalization techniques on &10X&10 and 4X4 sites clusters.

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

It is very instructive to consider the case of two sites only: H = −t ∑σ. 26 Jun 2012 In this Brief Report the extended Bose-Hubbard model with local two- and three- body interactions is studied by the exact diagonalization strong coupling limit of the Hubbard model at n = 1 (S = 1/2) I (v) Dynamics with Exact Diagonalization I (vi) Finite Temperature with Exact Diagonalization. from the experimental data, we rely on exact-diagonalization results from studies of a square 32-site Hubbard model.11 Work on the more physically plausible.

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.

In this contribution we introduce this model along with numerically exact method of diagonalization of the model. Abstract and Figures Hubbard model is an important model in theory of strongly correlated electron systems.

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.
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. . 152. Appendix B The exact diagonalization results are indicated by solid lines.
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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

We follow the road of first generating all the basis vectors, then setting up the Hamiltonian matrix with respect to this basis, and finally using the Lanczos algorithm to solve low lying eigenstates and eigenvalues. Emphasis is placed on how to enumerate all the basis vectors and how to use the 2021-03-24 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.

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Hubbard model is an important model in the theory of strongly correlated electron systems. Introduction to Hubbard model and exact diagonalization

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 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. The book keeping and practical implementation Pairing in the two-dimensional Hubbard model: An exact diagonalization study.

Speaker: Andreas M. LAUCHLI (Universitaet Innsbruck, Austria)School in Computational Condensed Matter Physics: From Atomistic Simulations to Universal Model

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. The book keeping and practical implementation Pairing in the two-dimensional Hubbard model: An exact diagonalization study. Lin, H. Q. ; Hirsch, J. E. ; Scalapino, D. J. Abstract. We have studied the pair susceptibilities for all possible pair wave functions that fit on a two-dimensional (2D) eight-site Hubbard cluster by exact diagonalization of the Hamiltonian.

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 lattice models, inc Exact Diagonalization of the Hubbard Model in 2-D. This repository contains the MATLAB code to perform exact calculations of the imaginary-time correlation functions of the Hubbard model in two dimensions. The Hubbard model is widely believed to be the model that describes high-temperature superconductivity. 3 The Hubbard dimer: solution by exact diagonalization As a ﬁrst example we consider the Hubbard model on a dimer H= t X ˙ cy 1;˙ c 2;˙ + c y 2;˙ c 1;˙ + X2 i=1 n i;"n i;#: (13) This can be solved by exact diagonalization , i.e., by constructing a basis of the entire Hilbert space, setting up the Hamilton matrix in this basis and diagonalizing it.