Structural and insulator-metal quantum phase transitions on a lattice

Details Structural and insulator-metal quantum phase transitions on a lattice Structural and insulator-metal quantum phase transitions on a lattice

1997-08-20

arxiv.org/abs/cond-mat/9708150v1

Physics

Condensed Matter

20 revtex preprint pages + 8 ps figures, uuencoded

Scientific paper

10.1103/PhysRevB.57.6949

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.

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