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The Bose-Hubbard model is the simplest model of interacting bosons on a lattice. It has recently been the focus of much attention due to the realization of this

Exact solutions for the eigenvalue problem of a Hubbard model with special site-dependentt and U param- The Hubbard model is a “highly oversimplified model” for electrons in a solid which interact with each other through extremely short ranged repulsive (Coulomb) interaction. The Hamiltonian of the Hubbard model consists of two pieces; Hhop which describes quantum mechanical hopping of electrons, and Hint which describes nonlinear repulsive interaction. Either Hhop or Hint alone is easy to This is a small python library to generate the basis and many-body Hamiltonian for the Fermi-Hubbard model. The Fermi-Hubbard model we are concerned with here is defined on some lattice is described by the Hamiltonian, Here the sum runs over the lattice indices and spin components (up and down), and the operator c i annihilates a particle on I needed a new wheel/tire for our "new" used car. The amazing crew at Hubbard Chevrolet worked hard and fast on figuring out how they could help me. They found one, and had it shipped in no time. It was ready, I was still at work.

In the case of these materials the Hubbard model is effective: it can be used to describe the magnetic and electric properties of such materials and the relationships between them. We review the slave-boson representations of the Hubbard model. When both spin and charge fermion degrees of freedom are represented by Bose fields, the approach is equivalent at the “self-consistent” saddle point level to the Gutzwiller approximation (GA). 1.2 Model Hamiltonians In this section we want to motivate our description of the cuprate CuO 2 layer. First we want to show that such a 2D system can be described by an extended Hubbard model and then we argue that a single band Hubbard model is probably suﬃcient to capture the relevant physics. 2013-10-01 · We review the physics of the Bose–Hubbard model with disorder in the chemical potential focusing on recently published analytical arguments in combination with quantum Monte Carlo simulations. Apart from the superfluid and Mott insulator phases that can occur in this system without disorder, disorder allows for an additional phase, called the Bose glass phase.

Review of Economics and Statistics, 91(1), 20-32. Akerlof, G.A. (1970). On the possibility of credit rationing in the Stiglitz-Weiss model. American Economic Review Fazzari, S.M., Hubbard, R.G., Petersen, B.C. (2000). Investment-cash flow

Rev. B 89, 035126 – Published 17 January 2014 The Hubbard model is an approximate model used, especially in solid-state physics, to describe the transition between conducting and insulating systems. The Hubbard model, named after John Hubbard, is a simple model of interacting particles in a lattice, with only two terms in the Hamiltonian: a kinetic term allowing for tunneling of particles between sites of the lattice and a potential term consisting of an on-site interaction.

Conserving approximations for strongly correlated electron systems: Bethe-Salpeter equation and dynamics for the two-dimensional Hubbard model NE Bickers, DJ Scalapino, SR White Physical review letters 62 (8), 961 , 1989

Conserving approximations for strongly correlated electron systems: Bethe-Salpeter equation and dynamics for the two-dimensional Hubbard model NE Bickers, DJ Scalapino, SR White Physical review letters 62 (8), 961 , 1989 Abi Hubbard Model Page.

1.2.2 Strong coupling in the Hubbard model: the t − J model . the Metropolis algorithm; the last section reviews the Stochastic Reconfiguration algorithm,. quantized operators using which the Hubbard model is written.
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Review Article Out-of-Equilibrium Dynamics of the Bose-Hubbard Model MalcolmP.Kennett Department of Physics, Simon Fraser University, University Drive, Burnaby, BC, Canada VA S Correspondence should be addressed to Malcolm P. Kennett; malcolmk@sfu.ca Received November ; Accepted December Academic Editors: K. Kasamatsu and A. A. Kordyuk This is a review of two such proposals, namely the Hubbard and anyon models.

Karlsruhe Institute of Technology. Contents. 1 The Hubbard model. 2.
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Hubbard Models with Degenerate Single-Electron Ground States. 345. 2. Main Results and for example, the review of Herring [10]. Given the subtlety of the

This is a review of two such proposals, namely the Hubbard and anyon models. There is a belief that they are actually interrelated and not mutually exclusive, although a convincing demonstration of any such connection is yet to be found. The Bose–Hubbard model gives a description of the physics of interacting spinless bosons on a lattice. It is closely related to the Hubbard model which originated in solid-state physics as an approximate description of superconducting systems and the motion of electrons between the atoms of a crystalline solid. The Hubbard model is the main working model in the theory of SCES. Among the real objects it best describes narrow-band transition metals and their compounds.

Several different models have recently been proposed to explain High Temperature Superconductivity. This book gives an authoritative and up-to-date review of

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First we want to show that such a 2D system can be described by an extended Hubbard model and then we argue that a single band Hubbard model is probably suﬃcient to capture the relevant physics. 2013-10-01 · We review the physics of the Bose–Hubbard model with disorder in the chemical potential focusing on recently published analytical arguments in combination with quantum Monte Carlo simulations.