Entanglement entropy of fermions in any dimension and the Widom conjecture

We show that entanglement entropy of free fermions scales faster than area law, as opposed to the scaling L(d-1) for the harmonic lattice, for example. We also suggest and provide evidence in support of an explicit formula for the entanglement entropy of free fermions in any dimension d, S approximately c(deltagamma, deltaomega)L(d-1) logL as the size of a subsystem L-->infinity, where deltagamma is the Fermi surface and is the boundary of the region in real space. The expression for the constant c(deltagamma, deltaomega) is based on a conjecture due to Widom. We prove that a similar expression holds for the particle number fluctuations and use it to prove a two sided estimate on the entropy S.     

Evaluating glutamate and aspartate binding mechanisms to rutile (α-TiO2) via ATR-FTIR spectroscopy and quantum chemical calculations

Attenuated total reflectance (ATR) Fourier transform infrared (FTIR) spectroscopy and quantum chemical calculations were used to elucidate the influence of solution chemistry (pH, amino acid concentration) on the binding mechanisms of glutamic and aspartic acid to rutile (α-TiO(2)). The amino acids, glutamate and aspartate, contain carboxyl and amine groups whose dissociation over a pH range results in changes of molecular charge and reactivity, including reactions with mineral surfaces. At pH 3, a decrease of IR bands corresponding to protonated carboxyl groups is observed upon reaction with TiO(2) and indicates involvement of distal carboxyl groups during sorption. In addition, decreased IR bands arising from carboxyl bonds at 1400 cm(-1), concomitant to shifts to higher wavenumbers for ν(as)(γ-COO(-)) and ν(as)(α-COO(-)) (particularly at low glutamate concentrations), are indicative of inner-sphere coordination of both carboxyl groups and therefore suggest a "lying down" surface species. IR spectra of aspartate reacted with rutile are similar to those of solution-phase samples, without peak shifts indicative of covalent bonding, and outer-sphere coordination is predicted. Quantum chemical calculations were carried out to assist in elucidating molecular mechanisms for glutamate binding to rutile and are in reasonable agreement with experimental data. The combined use of ATR-FTIR data and quantum calculations suggests three potential surface configurations, which include (1) bridging-bidentate where glutamate is "lying down" and binding occurs through inner-sphere coordination of both α- and γ-carboxyl groups; (2) chelating-monodentate in which glutamate binds through inner-sphere coordination with the γ-carboxyl group in a "standing up" configuration (with or without protonation of the α-carboxyl); and (3) another bridging-bidentate configuration where glutamate is binding to rutile via inner-sphere coordination of the α-carboxyl group and outer-sphere coordination with the γ-carboxyl ("lying down").     

Relativistic electron transport and confinement within charge-insulated, mass-limited targets

We present experimental results on the interaction of short-pulse ultra-high-intensity laser beams with small size (“mass-limited”) targets. Several diagnostics (X-ray spectroscopy, K_α and optical imaging of target rear side) have been simultaneously used in order to characterize the laser-generated fast electron transport and energy deposition into the target material. Our results show that fast electrons are effectively confined inside the target by the induced space charge. This electrostatic confinement opens new opportunities to create “Warm Dense Matter” states characterized by solid-state density and temperatures of the order of a few tens of eV.     

Unprecedented Route to Ordered Polyaniline: Direct Synthesis of Highly Crystalline Fibrillar Films with Strong π‐π Stacking Alignment

Films of polyaniline (PANI) featuring about 80% crystallinity and characterised with strong π‐π stacking alignment parallel to the film surface have been obtained directly after the original synthesis upon simple drying of the aqueous PANI suspension. A strong anisotropy in the growth of the nano‐sized crystals produced during the synthesis results in the formation of micrometer‐length fibrils perpendicular to the film surface in the course of water evaporation. The regular intercalation of water molecules between the PANI chains seems to be crucial for their ordering throughout the synthesis and film formation.