Numerical Studies of Metal—Insulator Transitions in Disordered Hubbard Models
Numerical Studies of Metal—Insulator Transitions in Disordered Hubbard Models
This chapter reviews Determinant Quantum Monte Carlo studies of the disordered Hubbard Hamiltonian. The effect of the interplay of interactions and a variety of realizations of the randomness, including spatially varying hopping and chemical potentials, on the conductivity, magnetism, Mott gap formation, and s-wave superconductivity is evaluated. Advances in algorithms and in computer hardware have made possible an order of magnitude increase in system sizes over the last several years, and optical lattice emulators of the Hubbard Hamiltonian are providing a new experimental realization of disordered and interacting fermions. This suggests the possibility of new efforts in this field.
Keywords: Metal-Insulator Transition, Superconductor-Insulator Transition, Hubbard Model, Quantum Monte Carlo
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