Fermi Liquid Properties of a Two Dimensional Electron System With the Fermi Level Near a van Hove Singularity

We use a diagrammatic approach to study low energy physics of a two dimensional electron system where the Fermi level is near van-Hove singularies in the energy spectrum. We find that in most regions of the $\epsilon_F-T$ phase diagram the system behaves as a normal Fermi liquid rather than a marginal Fermi liquid. Particularly, the imaginary part of the self energy is much smaller than the excitation energy, which implies well defined quasiparticle excitations, and single particle properties are only weakly affected by the presence of the van-Hove singularities. The relevance to high temperature superconductivity is also discussed.Comment: 10 pages, 4 postscript figure

Superconducting and pseudogap phases from scaling near a Van Hove singularity

We study the quantum corrections to the Fermi energy of a two-dimensional electron system, showing that it is attracted towards the Van Hove singularity for a certain range of doping levels. The scaling of the Fermi level allows to cure the infrared singularities left in the BCS channel after renormalization of the leading logarithm near the divergent density of states. A phase of d-wave superconductivity arises beyond the point of optimal doping corresponding to the peak of the superconducting instability. For lower doping levels, the condensation of particle-hole pairs due to the nesting of the saddle points takes over, leading to the opening of a gap for quasiparticles in the neighborhood of the singular points.Comment: 4 pages, 6 Postscript figures, the physical discussion of the results has been clarifie

On the violation of the Fermi-liquid picture in two-dimensional systems owing to the Van-Hove singularities

We consider the two-dimensional t-t' Hubbard model with the Fermi level being close to the van Hove singularities. The phase diagram of the model is discussed. In a broad energy region the self-energy at the singularity points has a nearly-linear energy dependence. The corresponding correction to the density of states is proportional to ln^3(e). Both real- and imaginary part of the self-energy increase near the quantum phase transition into magnetically ordered or superconducting phase which implies violation of the Fermi-liquid behavior. The application of the results to cuprates is discussed.Comment: 16 pages, RevTeX, 5 figures; The errors of the published version (PRB 64, 205105, 2001) are correcte

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Efeito do extrato aquoso de leucena na germinação e no desenvolvimento do milho Effect of aqueous extract of leucaena on germination and growth of corn

Foram desenvolvidos bioensaios, na Embrapa-Centro Nacional de Pesquisa de Milho e Sorgo (CNPMS), para avaliar o efeito de extratos aquosos, a frio e a quente, da parte aérea de leucena (Leucaena leucocephala (Lam.) De Wit.), sobre a germinação e o desenvolvimento das plantas de milho (Zea mays L.). Os extratos foram preparados na concentração 20% (p/v), e avaliados em solo e papel- germiteste, em casa de vegetação, e em papel-filtro em laboratório. O extrato obtido com água fria (EF) e aplicado ao solo não causou nenhum efeito fitotóxico sobre a germinação e o desenvolvimento das plantas de milho. O extrato obtido com água quente (EQ), quando aplicado em papel-germiteste ou papel-filtro, causou redução no comprimento da raiz seminal, mas não interferiu na germinação das sementes de milho. O comprimento da raiz seminal foi um indicador mais sensível aos efeitos do EQ do que a germinação.<br>Bioassays were carried out at Embrapa-Centro Nacional de Pesquisa de Milho e Sorgo (CNPMS), to evaluate the effect of leucaena (Leucaena leucocephala (Lam.) De Wit.) cold and hot aqueous extracts on germination and growth of corn (Zea mays L.). Extracts at 20% (w/v) concentration were used in greenhouse on soil and germitest paper, and on filter paper under laboratory conditions. Results indicated that extract obtained with cold water (EC) when applied in soil had no phytotoxic effect on germination and plant growth. Extraction with hot water (EH) caused reduction in root length, but had no effect on maize seeds germination. The root length was more efficient as a sensitive indicator to EH than germination