Nature of order from random two-body interactions

Nature of order from random two-body interactions

We investigate the origin of order in the low-lying spectra of many-body systems with random two-body interactions. Our study based both on analytical as well as on numerical arguments shows that except for the most J-stretched states, the ground states in the higher J-sectors are more orderly and develop larger energy gaps than the ones in the J = 0-sector. Due to different characteristic ener...

Sensitivity Analysis of random two-body interactions

Exactly solvable random matrix models with additional two-body interactions

It has been argued that despite remarkable success, existing random matrix theories are not adequate to describe disordered conductors in the metallic regime, due to the presence of certain two-body interactions in the effective Hamiltonian for the eigenvalues, in addition to the standard logarithmic interaction that arises entirely from symmetry considerations. We present a new method that all...

Two and Three-Body Interactions between CO, H2O, and HClO4

Intermolecular interactions of different configurations in the HOClO3···CO and HOClO3···H2O dyad and CO···HOClO3···H2O triad systems have been studied at MP2/6-311++G(2d,2p) computational level. Molecular geometries, binding energies, cooperative energies, many-body interaction energies, and Energy Decomposition Analysis (EDA) were eval...

Two-body random ensembles: from nuclear spectra to random polynomials

The two-body random ensemble for a many-body bosonic theory is mapped to a problem of random polynomials on the unit interval. In this way one can understand the predominance of 0(+) ground states, and analytic expressions can be derived for distributions of lowest eigenvalues, energy gaps, density of states, and so forth. Recently studied nuclear spectroscopic properties are addressed.