Electron-doping Evolution of the Quasiparticle Band of the Cuprates

Numerical Studies of the 2D Hubbard Model

“…Determinantal quantum Monte Carlo calculations [21] as well as various cluster calculations show that the underdoped Hubbard model also exhibits pseudogap phenomena. [27][28][29][30][31][32] The remarkable similarity of this behavior to the range of phenomena observed in the cuprates provides strong evidence that the Hubbard and t-J models indeed contain a significant amount of the essential physics of the problem. [34] In this chapter, we will focus on the one-band Hubbard model.…”

“…In addition, recent cluster generalizations of dynamic mean-field theory [4,6,7,[25][26][27][28][29][30][31][32][33] are providing new insight into the low temperature properties of these models. A significant finding of these numerical studies is that these basic models can exhibit antiferromagnetism, overview of the numerical methods which were used to obtain the results that will be discussed.…”

“…For example, density matrix renormalization group (DMRG) calculations for doped 8-leg t-J ladders find evidence for a striped ground state.[12] However, variational and Green's function Monte Carlo calculations for the doped t-J lattice, pioneered by Sorella and co-workers, [23,24] find groundstates characterized by d x 2 −y 2 superconducting order with only weak signs of stripes. Similarly, DMRG calculations for doped 6-leg Hubbard ladders [14] find stripes when the ratio of U to the near-neighbor hopping t is greater than 3, while various cluster calculations [27,[30][31][32][33] find evidence that antiferromagnetism and d x 2 −y 2 superconductivity compete in this same parameter regime.These techniques represent present day state-of-the-art numerical approaches. The fact that they can give different results may reflect the influence of different boundary conditions or different aspect ratios of the lattices that were studied.…”

“…[12] However, variational and Green's function Monte Carlo calculations for the doped t-J lattice, pioneered by Sorella and co-workers, [23,24] find groundstates characterized by d x 2 −y 2 superconducting order with only weak signs of stripes. Similarly, DMRG calculations for doped 6-leg Hubbard ladders [14] find stripes when the ratio of U to the near-neighbor hopping t is greater than 3, while various cluster calculations [27,[30][31][32][33] find evidence that antiferromagnetism and d x 2 −y 2 superconductivity compete in this same parameter regime.…”

Electronic structure calculations with dynamical mean-field theory

“…The discovery of high-temperature superconductivity in cuprates posed a great theoretical and computational challenge of uncovering the mechanism of this phenomenon, which today is still not sufficiently understood. Cluster extensions of DMFT have been applied in an effort to unravel the mystery of high-temperature superconductivity ͑Katsnelson and Maier et al, 2000aHuscroft et al, 2001;Aryanpour et al, 2002;Maier, Pruschke, et al, 2002;Potthoff et al, 2003;Dahnken et al, 2004Dahnken et al, , 2005Macridin et al, 2004Macridin et al, , 2005Maier, Jarrell, Macridin, et al, 2004;Civelli et al, 2005͒. DMFT has been applied to situations involving long periodicities such as stripes ͑Fleck et al, 1999͒.…”