Short-distance thermal correlations in the XXZ chain

Recent studies have revealed much of the mathematical structure of the static correlation functions of the XXZ chain. Here we use the results of those studies in order to work out explicit examples of short-distance correlation functions in the infinite chain. We compute two-point functions ranging over 2, 3 and 4 lattice sites as functions of the temperature and the magnetic field for various anisotropies in the massless regime $- 1 < \Delta < 1$. It turns out that the new formulae are numerically efficient and allow us to obtain the correlations functions over the full parameter range with arbitrary precision.Comment: 25 pages, 5 colored figure

Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field

We present a conjecture for the density matrix of a finite segment of the XXZ chain coupled to a heat bath and to a constant longitudinal magnetic field. It states that the inhomogeneous density matrix, conceived as a map which associates with every local operator its thermal expectation value, can be written as the trace of the exponential of an operator constructed from weighted traces of the elements of certain monodromy matrices related to $U_q (\hat{\mathfrak{sl}}_2)$ and only two transcendental functions pertaining to the one-point function and the neighbour correlators, respectively. Our conjecture implies that all static correlation functions of the XXZ chain are polynomials in these two functions and their derivatives with coefficients of purely algebraic origin.Comment: 35 page

Adsorption of Purine Compounds in Beer with Activated Carbon Prepared from Beer Lees

Six hundred thousand tons of beer lees are discharged annually in Japanese breweries. It is well known that purine compounds are one of substances which cause the gout and beer especially contains a lot of purine compounds such as adenosine, adenosine 5’-phosphate and so on, compared with the other alcoholic drinks. The application of activated carbon prepared from beer lees was investigated in order to remove purine compounds in beer. The reuse and recycling of beer lees to activated carbon for removing purine compounds in beer could make a contribution to the zero emission in breweries. In this study, the effect of physical properties of activated carbon derived from beer lees on the adsorption behavior of purine compounds was researched. Adenine, adenosine and adenosine 5’-phosphate, which are one of purine compounds, are selected as an example of model compounds in beer. The size of purine compounds and the pore structure of activated carbon affect the adsorption characteristic of purine compounds. It is found that beer lees can be reused and recycled in breweries by transforming to beer lees activated carbon for removing purine compounds in beer

Behavior of Leakage Current in SiC MOS Capacitors Introduced by Heavy Ions

Gradual increase in leakage current introduced by heavy ions irradiation was observed for silicon carbide metal-oxide-semiconductor (SiC MOS) capacitors under the negative bias voltage condition. In contrast, abrupt increase was observed for positive biased condition as previously observed for Si MOS devices. It was identified that the degradation sites introduced under negative bias have a rectifying I–V characteristic, which were too small to cause a clear shift of the C–V curve. It was inferred that the hetero junction formed in SiC MOS capacitors was the key structure for suppressing catastrophic failures mode observed in Si MOS structures. 　Nuclear & Space Radiation Effects Conference 2020( NSREC 2020