# Claudio Verdozzi's research profile

Claudio Verdozzi's research profile

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ED-01 Sparse Diagonalization (Lanczos) ED-02 Spin gaps of 1D quantum systems 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 ionic Hubbard model explains the quantum states of strongly correlated electrons under the influence of checkerboard-type alternating chemical potentials.

## Distributional exact diagonalization formalism for quantum

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.

### presslock — Engelska översättning - TechDico

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.

PROGRAM SUMMARY. Program Title: EDLib. 11 Dec 2019 tems, ranging from the Fermi-Hubbard model to the fractional quantum Hall effect 1.1.1 Exact diagonalization and correlation functions .

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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 27 Feb 2019 Exact diagonalization study of the Hubbard-parametrized four-spin ring exchange model on a square lattice. C. B. Larsen, A. T. Rømer, 30 Jul 2008 correlated electron systems. In this contribution we introduce this model along with numerically exact method of diagonalization of the model.

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### Lectures on the Physics of Strongly Correlated Systems

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. 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.

## EXACT DIAGONALIZATION - Avhandlingar.se

After enumerating various methods of tackling the Hubbard model, we introduce the numerical method of exact diagonalization in detail. 2017-03-09 We use the extensively studied 2D Hubbard model [4] and its natural extensions for our exact diagonalization calculations.

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