The spectral weight of the Hubbard model through cluster perturbation theory

We calculate the spectral weight of the one- and two-dimensional Hubbard models, by performing exact diagonalizations of finite clusters and treating inter-cluster hopping with perturbation theory. Even with relatively modest clusters (e.g. 12 sites), the spectra thus obtained give an accurate description of the exact results. Thus, spin-charge separation (i.e. an extended spectral weight bounded by singularities) is clearly recognized in the one-dimensional Hubbard model, and so is extended spectral weight in the two-dimensional Hubbard model.Comment: 4 pages, 5 figure

One-Particle Spectral Properties of Mott-Hubbard Insulators

We use an exact holon and spinon Landau-liquid functional which describes the holon - spinon interactions at all scattering orders, to study correlation functions of integrable multicomponent many-particle problems showing both linear and non-linear energy bands. We consider specific cases when the dominant non-linear band terms are quadratic and apply our results to the evaluation of the 1D Hubbard model correlation functions beyond conformal-field theory.Comment: 10 Pages, Revte

Short-range spin correlations and induced local spin-singlet amplitude in the Hubbard model

In this paper, from the microscopic Hubbard Hamiltonian we extract the local spin-singlet amplitude due to short-range spin correlations, and quantify its strength near half-filling. As a first application of the present approach, we study a problem of the energy dispersion and its d-wave modulation in the insulating cuprates, Sr$_{2}$CuO$_{2}$Cl$_{2}$ and Ca$_{2}$CuO$_{2}$Cl$_{2}$. Without any adjustable parameters, most puzzling issues are naturally and quantitatively explained within the present approach.Comment: 6 pages, 3 figure

Potentielle Wirkung von Unkräutern auf die P-Mobilisierung unter Mais

Die Rhizosphäre ist ein Hot Spot pflanzlicher und mikrobieller Aktivität zur Nährstoffmobilisierung und die Effizienz der Nutzung von Phosphor (P) unterscheidet sich pflanzen- artenspezifisch. Während die P-Mobilisierung in der Rhizosphäre verschiedener Kulturpflanzen intensiv untersucht wurde, ist die Bedeutung der Unkräuter auf die P-Verfügbarkeit für die vergesellschafteten Kulturpflanzen in Balance von Nährstoffkonkurrenz und Mobilisierungsleistung wenig bekannt. In der vorliegenden Untersuchung wird geprüft, ob eine zeitweise Toleranz von Unkräutern im Bestand die P-Verfügbarkeit für die Nutzpflanze Mais (Zea mays) durch die Mobilisierungsaktivität der Unkrautarten verbessern kann. Zu diesem Zweck wurden in zwei Versuchsjahren (2015 und 2016) Gefäßversuche unter Halbfreilandbedingungen mit einem P-defizienten Boden etabliert. Mais als mykorrhizierte Testpflanze wurde alleine und in Kombination mit sechs verschiedenen sowohl mykorrhizierten als auch nicht mykorrhizierten Unkrautarten kultiviert (Chenopodium album, Echinochloa crus-galli, Tripleurospermum perforatum, Polygonum convolvulus, Solanum nigrum, Viola arvensis). Um einen möglichen unkrautartspezifischen Einfluss auf die P-Mobilisierung unter Mais zu erfassen, wurden Boden- (u.a. Phosphatasen-Aktivitäten, mikrobieller Biomasse-P, pflanzenverfügbarer P) und Pflanzenparameter (Ertrag, Nährstoffgehalte und Mykorrhizierungsgrad der Feinwurzeln) untersucht. Die Ergebnisse belegen signifikante pflanzenkombinationsspezifische Unterschiede in der P-Mobilisierung und P-Aufnahme

On a graph related to permutability in finite groups

This paper has been published in Annali di Matematica Pura ed Applicata. Series IV, 189(4):567-570 (2010). Copyright 2010 by Springer-Verlag. The final publication is available at www.springerlink.com. http://link.springer.com/article/10.1007%2Fs10231-009-0124-7 http://dx.doi.org/10.1007/s10231-009-0124-7For a finite group G we define the graph $\Gamma(G)$ to be the graph whose vertices are the conjugacy classes of cyclic subgroups of G and two conjugacy classes $\{\mathcal {A}, \mathcal {B}\}$ are joined by an edge if for some $\{A \in \mathcal {A},\, B \in \mathcal {B}\, A\}$ and B permute. We characterise those groups G for which $\Gamma(G)$ is complete.This paper has been suported by the research grants MTM2007-68010-C03-02 from MEC (Spain) and FEDER (European Union) and GV/2007/243 from Generalitat (Valencian Community).http://dx.doi.org/10.1007/s10231-009-0124-7Ballester Bolinches, A.; Cossey, J.; Esteban Romero, R. (2010). On a graph related to permutability in finite groups. Annali di Matematica Pura ed Applicata. 4(189). doi:10.1007/s10231-009-0124-74189Abe S., Iiyori N.: A generalization of prime graphs of finite groups. Hokkaido Math. J. 29(2), 391–407 (2000)Agrawal R.K.: Finite groups whose subnormal subgroups permute with all Sylow subgroups. Proc. Am. Math. Soc. 47(1), 77–83 (1975)Alejandre M.J., Ballester-Bolinches A., Pedraza-Aguilera M.C.: Finite soluble groups with permutable subnormal subgroups. J. Algebra 240(2), 705–722 (2001)Ballester-Bolinches A., Esteban-Romero R.: Sylow permutable subnormal subgroups of finite groups. J. Algebra 251(2), 727–738 (2002)Cooper C.D.H.: Power automorphisms of a group. Math. Z. 107, 335–356 (1968)Herzog M., Longobardi P., Maj M.: On a commuting graph on conjugacy classes of groups. Commun. Algebra 37(10), 3369–3387 (2009)Huppert B.: Endliche Gruppen I, vol. 134 of Grund. Math. Wiss. Springer, Berlin (1967)Longobardi P.: Gruppi finite a fattoriali modulari. Note Math. II, 73–100 (1982)Neumann B.: A problem of Paul Erdős on groups. J. Austral. Math. Soc. Ser. A 21, 467–472 (1976)Ore O.: Contributions to the theory of groups of finite order. Duke Math. J. 5, 431–460 (1939)Schmidt R.: Subgroup lattices of groups. De Gruyter Expositions in Mathematics, vol. 14. Walter de Gruyter, Berlin (1994)Zacher G.: I gruppi risolubli finiti in cui i sottogruppi di composizione coincidono con i sottogrupi quasi-normali. Atti Accad. Naz. Lincei Rend. cl. Sci. Fis. Mat. Natur. 37(8), 150–154 (1964

Critical Properties in Photoemmision Spectra for One Dimensional Orbitally Degenerate Mott Insulator

Critical properties in photoemission spectra for the one-dimensional Mott insulator with orbital degeneracy are studied by exploiting the integrable {\it t-J} model, which is a supersymmetric generalization of the SU($n$) degenerate spin model. We discuss the critical properties for the holon dispersion as well as the spinon dispersions, by applying the conformal field theory analysis to the exact finite-size energy spectrum. We study the effect of orbital-splitting on the spectra by evaluating the momentum-dependent critical exponents.Comment: 8 pages, REVTeX, 2 figures(available upon request), accepted for publication in JPSJ 68 (1999) No.

Lattice anisotropy as microscopic origin of static stripes in cuprates

Structural distortions in cuprate materials offer a microscopic origin for anisotropies in electron transport in the basal plane. Using a real-space Hartree-Fock approach, we consider the ground states of the anisotropic Hubbard (t_x \ne t_y) and t-J (t_x \ne t_y, J_x \ne J_y) models. Symmetrical but inhomogeneous (``polaronic'') charge structures in the isotropic models are altered even by rather small anisotropies to one-dimensional, stripe-like features. We find two distinct types of stripe, namely uniformly filled, antiphase domain walls and non-uniform, half-filled, in-phase ones. We characterize their properties, energies and dependence on the model parameters, including filling and anisotropy in t (and J). We discuss the connections among these results, other theoretical studies and experimental observation.Comment: 18 pages, 16 figures, 8 table

Entrepreneurs’ age, institutions, and social value creation goals: a multi-country study

This study explores the relationship between an entrepreneur's age and his/her social value creation goals. Building on the lifespan developmental psychology literature and institutional theory, we hypothesize a U-shaped relationship between entrepreneurs’ age and their choice to create social value through their ventures, such that younger and older entrepreneurs create more social value with their businesses while middle age entrepreneurs are relatively more economically and less socially oriented with their ventures. We further hypothesize that the quality of a country’s formal institutions in terms of economic, social, and political freedom steepen the U-shaped relationship between entrepreneurs’ age and their choice to pursue social value creation as supportive institutional environments allow entrepreneurs to follow their age-based preferences. We confirm our predictions using multilevel mixed-effects linear regressions on a sample of over 15,000 entrepreneurs (aged between 18 and 64 years) in 45 countries from Global Entrepreneurship Monitor data. The findings are robust to several alternative specifications. Based on our findings, we discuss implications for theory and practice, and we propose future research directions