We investigate the structure of the non homogeneous Markov states on general Fermi algebras. This covers d–Markov states on the CAR algebra on Z, the case when there are more than one creators and annichilators in each site, and finally Fermi Markov fields on Z . Natural connections with the KMS boundary condition, diagonalizability, and entropy of Fermi Markov states are studied in detail. Apa...

A first-principles approach is presented for the thermoelectricity in molecular junctions formed by a single molecule contact. The study investigates the Seebeck coefficient considering the source-drain electrodes with distinct temperatures and chemical potentials in a three-terminal geometry junction. We compare the Seebeck coefficient in the amino-substituted and unsubstituted butanethiol jun...

First principles total energy calculations were performed to characterize oxygen vacancy defects in tantalum pentoxide (Ta2O5). A simplified version of the crystalline orthorhombic phase of Ta2O5 was used in this study. Results indicate that O vacancies in Ta2O5 can be broadly classified based on their location in the lattice. One type of vacancy that occupies the ‘‘in-plane’’ sites displays de...

M. Dann, J. Nyéki,* B. P. Cowan, and J. Saunders Millikelvin Laboratory, Department of Physics, Royal Holloway University of London, Egham, Surrey, TW20 0EX, United Kingdom (Received 28 January 1999) Measurements are reported of the heat capacity of 3He bound to an atomically layered 4He film on the surface of graphite. At 3He coverages n3 , 4 nm22, the 3He forms a uniform 2D Fermi system. Ther...

Recently, Schmidt and Schnack ͓Physica A 260, 479 ͑1998͔͒, following earlier references, reiterate that the specific heat of N noninteracting bosons in a one-dimensional harmonic well equals that of N noninteracting fermions in the same potential. We show that this peculiar relationship between heat capacities results from a more dramatic equivalence between Bose and Fermi systems. Namely, we prove...

By combining results of Mizumachi on the stability of solitons for the Toda lattice with a simple rescaling and a careful control of the KdV limit we give a simple proof that small amplitude, long-wavelength solitary waves in the Fermi-Pasta-Ulam (FPU) model are linearly stable and hence by the results of Friesecke and Pego that they are also nonlinearly, asymptotically stable.

Theories which include neutrinos in large extra dimensions can be constrained by nuclear beta decay experiments. We examine universality of β decay strengths of Fermi transitions. From this we find that the extra dimensional Yukawa coupling for a higher dimensional scale of 10 TeV, and two extra dimensions can be constrained to y < ∼ 1. Kinematic implications are also discussed. In particular, ...

There have been extensive studies of the many phases of carbon, involving diamond and graphite, fullerenes, carbon nanotubes, amorphous carbon [1–3] and Schwarzites. In this study, the authors explore the impact of topological disorder (oddmembered rings) on the electron localisation of amorphous graphene. The authors employ realistic structural models, and find that the electronic states aroun...

must be applied to discover just what happens in this case, and how the extension is to be made into the unphysical region. Because of the small numerical value of the constant coefficients of higher order terms in the HeisenbergKuler Lagrangian density, these efI'ects are too small to be susceptible to experimental test. 4 The primary importance of our investigation is to point out theoretical...

In their recent work Cooper and Ponec [Phys. Chem. Chem. Phys., 2008, 10, 13191329] proposed a “one-electron approximation to domain-averaged Fermi hole (DAFH)” used in electronic population studies. The goal of this comment is to note that the proposal had been already published within the framework of domain-restricted reduced density matrices (Ω-RDM) and to show that it cannot conceptually b...