Chapter

Numerical Studies of Metal—Insulator Transitions in Disordered Hubbard Models

S. Chiesa, R.T. Scalettar, P.J.H. Denteneer, P. Chakraborty, T. Paiva and S. Story

in Conductor-Insulator Quantum Phase Transitions

Published in print June 2012 | ISBN: 9780199592593
Published online September 2012 | e-ISBN: 9780191741050 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199592593.003.0005
Numerical Studies of Metal—Insulator Transitions in Disordered Hubbard Models

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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

Chapter.  16952 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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