We formulate the exact Wilsonian renormalization group for a system of interacting fermions on lattice. The flow equations all vertices Wilson effective action are expressed in form Polchinski equation. advantage this scheme is that itself has physical interpretation, i.e., cutoff meaning temperature. apply method to Hubbard model square lattice using both zero- and finite-temperature methods. Truncating at sixth term fermionic variables neglecting self-energy renormalization, we obtain...

The problem of weakly correlated electrons on a square lattice is formulated in terms one-loop renormalization group. Starting from the action for entire Brillouin zone we reduce successively cutoff \ensuremath{\Lambda} about Fermi surface and follow coupling U as function three energy-momenta. We calculate intrinsic temperature scale ${\mathit{T}}_{\mathit{co}}$ where renormalization-group flow crosses over regime (\ensuremath{\Lambda}>${\mathit{T}}_{\mathit{co}}$) electron-electron (e-e)...

The influence of an external magnetic field on a quasi one-dimensional system with charge density wave (CDW) instability is treated within the random phase approximation which includes both CDW and spin correlations. We show that sensitive to orbital Pauli effects field. In case perfect nesting, critical temperature decreases monotonously field, vector starts shift above some value Depending ratio between coupling constants direction applied either parallel ($CDW_x$ order) or perpendicular...

We have investigated the structure of casein micelles using small-angle X-ray scattering, spanning three orders magnitude in scattering vector. The high-resolution data can be modeled terms a polydisperse spherical core–shell with core consisting protein matrix reticulated ellipsoidal calcium phosphate nanoparticles and brush layer κ-caseins. This model is validated by means structural modification induced addition small tannins which an affinity towards proline groups on proteins. Small are...

We study the weakly interacting Hubbard model on square lattice using a one-loop renormalization group approach. The transition temperature Tc between metallic and (nearly) ordered states is found. In parquet regime (Tc ≫ |μ|), dominant correlations at temperatures below are antiferromagnetic, while in BCS ≪ |μ|) d-wave singlet pairing susceptibility most divergent.

The molecular interactions of grape-seed tannins dissolved in water−ethanol solutions have been studied through small angle neutron scattering, light and physical separation techniques. Through selective precipitation different solvent mixtures, three populations tannin macromolecules identified: T1 (2% the total tannin), which forms colloidal particles when ethanol content is brought below φA = 0.6; T2a (33% phase-separates 0.08 ionic conditions that are typical wine; T2b (65% remains...

Interactions of plant tannins with polysaccharide hyaluronan are studied by means light scattering and small-angle X-ray (SAXS). In this paper, we show that (1) the tannin–polysaccharide complexes remain stable in colloidal suspension; (2) masses structures objects depend on tannin degree polymerization; (3) densities aggregates about 7 times lower than density a single solvated molecule. Short polysaccharides aggregated loose oligomeric whose sizes comparable to Tannins longer 10 nm larger...

We studied by light scattering and small angle x-rays (SAXS) conformations solvation of plant tannins (oligomers polymers) in mixed water-ethanol solutions. Their structures are not simple linear chains but contain about 6% branching. Ab initio reconstruction reveals that monomers within a branch closely bound pairwise. The rather rigid, with the Kuhn length b=13±3 nm, corresponding to 35 linearly monomers. Contribution layer SAXS intensity varies nonmonotonic way ethanol content ϕA, which...

Coupling a hydrophobic drug onto monoclonal antibodies via lysine residues is common route to prepare antibody–drug conjugates (ADC), promising class of biotherapeutics. But few chemical modifications on protein surface often increase aggregation propensity, without clear understanding the mechanisms at stake (loss colloidal stability, self-assemblies, denaturation, etc.), and statistical nature conjugation introduces polydispersity in ADC population, which raises questions whether whole...

Tannin–tannin and tannin–protein interactions in water–ethanol solvent mixtures are studied the context of red wine tasting. While tannin self-aggregation is relevant for visual aspect tasting (limpidity related colloidal phenomena), affinities salivary proline-rich proteins fundamental a wide spectrum organoleptic properties to astringency.

Tannin-protein interactions are essentially physical: hydrophobic and hydrogen-bond–mediated. We explored the tannin-assisted protein aggregation on case of β-casein, which is a natively unfolded known for its ability to form micellar aggregates. used several tannins with specified length. Our SAXS results show that small increase number proteins per micelle, but keeping their size constant. It leads compactization micelles. Larger tannins, linear dimensions greater than crown width...

Massive foam formation in aquatic environments is a seasonal event that has significant impact on the stability of marine ecosystems. Liquid foams are known to filter passive solid particles, with large particles remaining trapped by confinement network liquid channels and small being freely advected gravity-driven flow. By contrast, potential role similar retention effect biologically active such as phytoplankton cells still relatively unknown. To assess if passively through foam, model...

The sign reversals of the Quantum Hall Effect observed in quasi-one-dimensional conductors Bechgaard salts family are explained within framework quantized nesting model. sequence is driven by slight modifications geometry Fermi surface. It why only even phases can have and negative less stable than positive ones.

The problem of weakly correlated electrons on a square lattice is studied theoretically.A simple renormalization group scheme for the angle-resolved weight Z(θ) quasiparticles at Fermi surface presented and applied to Hubbard model.Upon reduction cutoff progressively destroyed from van Hove points toward zone diagonals.Due renormalized Z(θ), divergences both antiferromagnetic superconducting correlation functions are suppressed critical scale, where interactions diverge.

The complexation kinetics of β-casein with tannins were investigated by means stopped flow and small-angle X-ray scattering (SAXS). Several small plant have been considered: epigallocatechin-gallate (EGCG) from green tea a set oligomeric apples. We show that the are composed two processes. first process is rapid uptake micelles over 40–100 ms second slow reorganization tannin-dressed proteins into stable heavier period up to 200 s. In process, protein segments in cores rapidly coated...

The spin density wave instabilities in the quasi-one-dimensional metal (TMTSF)2ClO4 are studied framework of a matrix random phase approximation for intraband and interband order parameters. Depending on anion ordering potential V which measures lattice doubling transverse direction, two different possible. SDW0 state at low values is antiferromagnetic b direction has critical temperature that decreases rapidly with V. degenerated states SDW±, stable higher V, superpositions magnetic orders,...

Using the renormalization group with included self-energy effects and exact diagonalization of small clusters we investigate ground-state phase diagram a two-dimensional extended Hubbard model nearest-neighbor exchange interaction $J$, in addition to local Coulomb repulsion $U$. The main instabilities are antiferromagnetism close half filling ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$ superconductivity doped system. We find that fatal for repulsive (i.e., $J=0$, $U>0$). is triggered by finite...

We report an analysis of the effects magnetic field on a quasi-one-dimensional band interacting electrons with transverse dimerizing potential. One-particle problem in bond-antibond representation is solved exactly. The resulting propagator used to calculate spin-density-wave (SDW) response system within matrix random-phase approximation for SDW susceptibility. find that value anion potential fitting experiments relaxed $(\mathrm{TMTSF}{)}_{2}{\mathrm{ClO}}_{4}$ large, order interchain...

The effects of the external magnetic field on spin-density-wave (SDW) order and accompanying fluctuations are calculated within random-phase approximation for extended Hubbard model with imperfectly nested quasi-one-dimenisonal Fermi surfaces. Both Pauli orbital mechanisms treated in parallel. It is shown that coupling leads to a finite hybridization SDW component direction charge-density wave. mean value this remains zero below critical temperature isotropic system, but may be activated...