We present an efficient program for the exact diagonalization solution of pairing Hamiltonian in spherical systems with rotational invariance based on SU(2) quasi-spin algebra. The basis vectors symmetry considered are generated by using iterative algorithm. Then matrix constructed this is diagonalized Lanczos All non-zero elements evaluated “on fly” scattering operator and hash search acting v...

2 The cluster approach 4 2.1 Tiling the lattice into small clusters . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Cluster perturbation theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Green’s function and exact diagonalization . . . . . . . . . . . . . . . . . . . . 5 2.4 Freedom in the CPT construction . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.5 The Ritz...

The stability of the lD Luttinger hquid phase of interacting spinless particles (t V mortel) to an on-site diagonal disorder is studied by exact diagonalization of small ID

The ground state and the excitation spectrum of strongly correlated electrons in quantum dots are investigated. An analytical solution is constructed by exact diagonalization of the Hamiltonian in terms of the N-particle eigenmodes.

in this paper, we study the electronic properties of a concentric triple quantum ring using exact diagonalization technique. the energy spectra and magnetization for a single electron and two electrons, in the presence of an applied magnetic field, are calculated and discussed. it is shown that, for two-interacting electrons, the period of aharonov-bohm oscillations decreases to the half of tha...