The one-dimensional XXZ model (s=12) in a transverse field, with uniform long-range interactions among the transverse components of the spins, is studied. The model is exactly solved by introducing the Jordan–Wigner transformation and the integral Gaussian transformation. The complete critical...

A real-space renormalization-group approach is used to investigate the zero temperature phase diagram of the Kondo necklace (KN) model in the presence of an Ising-like anisotropy parameter (δ). In the full anisotropic case, δ=1, this approach yields a quantum critical point (QCP) separating an...

Recent developments of the study on quantum mechanical effects on condensed matter phenomena are overviewed from the viewpoint of numerical investigations. Various phases and phase transitions inherent to quantum mechanical interactions are reviewed. Quantum mechanical dynamics in nanoscale...