Structural and insulator-metal quantum phase transitions on a lattice

Abstract

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.

arXiv comment20 revtex preprint pages + 8 ps figures, uuencoded

References in corpus (6)

• Correlated Electrons in High Temperature Superconductors
• Quantum-Phase Transitions of Interacting Bosons and the Supersolid Phase
• Simultaneous Diagonal and Off Diagonal Order in the Bose--Hubbard Hamiltonian
• Variational quantum Monte Carlo study of two-dimensional Wigner crystals: exchange, correlation, and magnetic field effects
• Insulator-Metal Transition in One Dimension Induced by Long-Range Electronic Interactions
• First Order Superconductor to Insulator Transition: Evidence for a Supersolid Phase

Cited by in corpus (8)

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• Unconventional metallic conduction in two-dimensional Hubbard-Wigner lattices
• Pseudogap metal induced by long-range Coulomb interactions
• Enhancement of Wigner crystallization in quasi low-dimensional solids
• Fractional charge revealed in computer simulations of resonant tunneling in the fractional quantum Hall regime
• Critical Spectral Statistics at the Metal-Insulator Transition in Interacting Fermionic Systems
• Persistent currents in two dimensions: New regimes induced by the interplay between electronic correlations and disorder