On ground state phases of quantum spin systems

In this short note, I review some recent results about gapped ground state phases of quantum spin systems and discuss the notion of topological order.Comment: Note written for the News Bulletin of the International Association of Mathematical Physics (IAMP); IAMP News Bulletin, July 201

Interpolated Schur multiple zeta values

Inspired by a recent work of M. Nakasuji, O. Phuksuwan and Y. Yamasaki we combine interpolated multiple zeta values and Schur multiple zeta values into one object, which we call interpolated Schur multiple zeta values. Our main result will be a Jacobi-Trudi formula for a certain class of these new objects. This generalizes an analogous result for Schur multiple zeta values and implies algebraic relations between interpolated multiple zeta values.Comment: 21 page

The role of trust and power in the institutional regulation of territorial business systems

This paper discusses the role of trust and power in organizational relationships. In its theoretical part it draws on conceptual ideas of Systems Theory, Structuration Theory and New Institutionalism. The empirical part investigates the English and the German speaking business regions within Europe as two distinct environments which in different ways shape the quality of organizational relationships. Depending the characteristics of these business systems, trust and power will be shown to inter-link with each other in quite specific patterns. The final part of the paper considers some conclusions relevant for European innovation policy.

Checkerboard style Schur multiple zeta values and odd single zeta values

We give explicit formulas for the recently introduced Schur multiple zeta values, which generalize multiple zeta(-star) values and which assign to a Young tableaux a real number. In this note we consider Young tableaux of various shapes, filled with alternating entries like a Checkerboard. In particular we obtain new sum representation for odd single zeta values in terms of these Schur multiple zeta values. As a special case we show that some Schur multiple zeta values of Checkerboard style, filled with 1 and 3, are given by determinants of matrices with odd single zeta values as entries.Comment: 21 pages. Added Corollary 3.7 and the case (a,b)=(1,2) in Section

Chain-Growth Simulations of Lattice-Peptide Adsorption to Attractive Substrates

Based on a newly developed contact-density chain-growth algorithm, we have simulated a nongrafted peptide in the vicinity of different attractive substrates. We analyzed the specificity of the peptide adsorption by focussing on the conformational transitions the peptide experiences in the binding/unbinding processes. In a single simulation run, we obtained the contact density, i.e., the distribution of intrinsic monomer-monomer contacts and monomer-substrate nearest-neighbor contacts. This allows a systematic reweighting to all values of external control parameters such as temperature and solvent quality after the simulation. The main result is the complete solubility-temperature pseudo-phase diagram which is based on the corresponding specific-heat profile. We find a surprisingly rich structure of pseudo-phases that can roughly be classified into compact and expanded conformations in both regimes, adsorption and desorption. Furthermore, underlying subphases were identified, which, in particular, appear noticeably in the compact pseudo-phases.Comment: 8 pages, 3 figure