Gui Lu Long, Yi-Fan Zhou, Jia-Qi Jin, Yang Sun, Hai-Woong Lee Key Laboratory For Quantum Information and Measurements, and Department of Physics, Tsinghua University, Beijing, 100084, P R China 2 Key Laboratory for Atomic and Molecular NanoSciences, Tsinghua University, Beijing 100084, China 3 Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USA Department of Physics, KAIS...

We have considered the properties of anisotropic two-leg ladder models with S = 1/2 or S = 1 spins on the rungs, using White’s density matrix renormalization group method. We have generalized the method by taking into account the symmetries of the model in order to reduce the dimensions of the matrix to be diagonalized, thereby making possible to consider more states. The boundaries in the para...

using the nanotechnology and decreasing the dimension of reinforcement particles to nanometer, outstanding mechanical properties are achieved in aluminum matrix nanocomposites. fabrication of aluminum matrix nanocomposites by casting is of great importance because of its simplicity, low cost and ease of the control of matrix microstructure. in this study, the aging behavior of nanocomposite sam...

4 Non-technical summary 5

In this paper we give an introduction to the numerical density matrix renormalization group (DMRG) algorithm, from the perspective of the more general matrix product state (MPS) formulation. We cover in detail the differences between the original DMRG formulation and the MPS approach, demonstrating the additional flexibility that arises from constructing both the wavefunction and the Hamiltonia...