P. E. Mijnarends, Y. Kubo, B. Barbiellini, and A. Bansil
- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198501688
- eISBN:
- 9780191718045
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198501688.003.0008
- Subject:
- Physics, Atomic, Laser, and Optical Physics
This chapter covers the calculation of the electron momentum density within the Local Density Approximation (LDA) and the Local Spin Density Approximation (LDSA). The KKR-CPA method is discussed ...
More
This chapter covers the calculation of the electron momentum density within the Local Density Approximation (LDA) and the Local Spin Density Approximation (LDSA). The KKR-CPA method is discussed followed by sections on the linearized augmented plane wave (LAPW) and linearized muffin-tin orbitals (LMTO) methods. Band theory methods beyond the LDA, the self-interaction correction, the Lam-Platzman correction, the GW method, and Quantum Monte Carlo methods are described.Less
This chapter covers the calculation of the electron momentum density within the Local Density Approximation (LDA) and the Local Spin Density Approximation (LDSA). The KKR-CPA method is discussed followed by sections on the linearized augmented plane wave (LAPW) and linearized muffin-tin orbitals (LMTO) methods. Band theory methods beyond the LDA, the self-interaction correction, the Lam-Platzman correction, the GW method, and Quantum Monte Carlo methods are described.
S. Chiesa, R.T. Scalettar, P.J.H. Denteneer, P. Chakraborty, T. Paiva, and S. Story
- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199592593
- eISBN:
- 9780191741050
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199592593.003.0005
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics
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, ...
More
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.Less
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.
