Swap action in a solid-state controllable anisotropic Heisenberg model

Quench dynamics of the anisotropic Heisenberg model.

We develop an analytical approach for the study of the quench dynamics of the anisotropic Heisenberg model (XXZ model) on the infinite line. We present the exact time-dependent wave functions after a quench in an integral form for any initial state and for any anisotropy Δ by means of a generalized Yudson contour representation. We calculate the evolution of several observables from two particu...

Analyticity Properties of the Anisotropic Heisenberg Model

An upper bound Te for the critical temperature of a class of spin systems which includes the Heisenberg ferromagnet is derived. The analyticity of the free energy as a function of the temperature, the external magnetic field, and the interaction potentials, is demonstrated in a domain which includes all temperatures T > Tc For the isotropic Heisenberg ferromagnet in v dimensions we find the poo...

Solid-state dewetting and island morphologies in strongly anisotropic materials

a School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China b Computational Science Hubei Key Laboratory, Wuhan University, Wuhan 430072, China c Department of Mathematics, National University of Singapore, 119076, Singapore d Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104, USA e Department of Mechanical Engineering and Appl...

Scheduled Review Methods for Controllable State Variables

In many real systems in which a state variable should be controlled for being in appropriate range, the length of control (review) intervals is taken to be constant. In such systems, when the cost of reviews and out-of-range values of the state variable are considerable, this method may not be optimal. In this paper we let the length of review intervals to be variable during each operating cycl...

Antiferromagnetic Heisenberg model on an anisotropic triangular lattice in the presence of a magnetic field