We consider 2D gas of spinless fermions with the Coulomb and the short range
interactions on a square lattice at T=0. Using exact diagonalization technique
we study finite clusters up to 16 particles at filling factors $\nu=1/2$ and
1/6. By increasing the hopping amplitude we obtain the low-energy spectrum of
the system in a wide range from the classical Wigner crystal to almost free gas
of fermions. The most efforts are made to study the mechanism of the structural
and insulator-metal transitions. We show that both transitions are determined
by the energy band of the defect with the lowest energy in the Wigner crystal.Comment: 20 revtex preprint pages + 8 ps figures, uuencode
We consider a one-dimensional lattice model with the nearest-neighbor interaction V 1 and the next-nearest neighbor interaction V 2 with filling factor 1/2 at zero temperature. The particles are assumed to be spinless fermions or hard-core bosons. Using very simple assumptions we are able to predict the basic structure of the insulator-metal phase diagram for this model. Computations of the flux sensitivity support the main features of the proposed diagram and show that the system maintains metallic properties at arbitrarily large values of V 1 and V 2 along the line V 1 − 2V 2 = γJ, where J is the hopping amplitude, and γ ≈ 1.2. We think that close to this line the system is a "weak" metal in a sense that the flux sensitivity decreases with the size of the system not exponentially but as 1/L α with α > 1. * current address:
The intermolecular electrostatic and polarization interactions in water are determined using a minimal atomic multipole model constructed with distributed polarizabilities. Hydrogen bonding and other properties of water-water interactions are reproduced by only three multipoles mu(H), mu(O), and theta(O) and two polarizabilities alpha(O) and alpha(H), which characterize a single water molecule and are deduced from single-molecule data.
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