We give a new derivation of the variational formula for the pressure of the long-range-hopping Bose-Hubbard model, which was first proved in [1]. The proof is analogous to that of a theorem on noncommutative large deviations introduced by Petz, Raggio and Verbeure [2] and could similarly be extended to more general Bose system of mean-field type. We apply this formalism to prove Bose-Einstein c...

We investigate ground state properties of a quasi-one-dimensional electron-lattice coupled model for quarter-filled molecular conductors. The effective one-dimensional extended Hubbard model coupled to adiabatic lattice degree of freedom is derived by the inter-chain mean-field approximation and solved by Lanczos exact diagonalization method. We find that the critical behavior among lattice tet...

We compute the eigenfunctions, energies and Bethe equations for a class of generalized integrable Hubbard models based on gl(n|m)⊕ gl(2) superalgebras. The Bethe equations appear to be similar to the Hubbard model ones, up to a phase due to the integration of a subset of ‘simple’ Bethe equations. We discuss relations with AdS/CFT correspondence, and with condensed matter physics.

Let f : S → S be the “rabbit” polynomial z + c with c ∼= (−0.1+ 0.8i) a root of (c + c) + c = 0. Let T : S → S be the Dehn about c and c + c. We are interested in such maps up to combinatorial equivalence, that is, letting Pf denote the critical values of f and their forward images, we declare two maps f, g : S → S to be equivalent if there exist orientation-preserving homeomorphisms φ0, φ1 : (...

Crop coefficient (Kc)-based estimation of crop evapotranspiration is one of the most commonly used methods for irrigation water management. However, uncertainties of the generalized dual crop coefficient (Kc) method of the Food and Agricultural Organization of the United Nations Irrigation and Drainage Paper No. 56 can contribute to crop evapotranspiration estimates that are substantially diffe...

We review the theoretical literature on market determinants of media bias. We present a theoretical framework that organizes many key themes in the literature, and discuss substantive lessons. Matthew Gentzkow University of Chicago Booth School of Business 5807 South Woodlawn Avenue Chicago, IL 60637 and NBER [email protected] Jesse M. Shapiro University of Chicago Booth School of Busin...

With the use of the Hubbard model bound hole states in YBa 2 Cu 3 O 6+x are studied. For the parameters of this crystal the exchange interaction between the spin-carrying chain ion O − and Cu − O plane sites is shown to ensure the formation of a large ferromagnetically ordered clusters around holes in the plane.

The flow equation method has been used to calculate the energy of single impurity in a superconductor for the Anderson model with U 6= 0.We showed that the energy of the impurity depends only of the ∆R (renormalized order parameter) which depends of the renormalized Hubbard repulsion U. For a strong Hubbard repulsion U = U and ∆ = ∆ the effect of the s− d interactions are nonrelevant,a result w...

The spatial variations of the pair amplitude, and the local density of states in d-wave or s-wave superconductor-ferromagnet hybrid structures are calculated self consistently using the Bogoliubov-deGennes formalism within the two dimensional extended Hubbard model. We describe the proximity effect in superconductor / ferromagnet (SF) bilayers, FSF trilayers, and interfaces between a supercondu...