Phase separation in the 2D Hubbard model: a fixed-node quantum Monte Carlo study

Fixed-node Green's function Monte Carlo calculations have been performed for very large 16x6 2D Hubbard lattices, large interaction strengths U=10,20, and 40, and many (15-20) densities between empty and half filling. The nodes were fixed by a simple Slater-Gutzwiller trial wavefunction. For each value of U we obtained a sequence of ground-state energies which is consistent with the possibility of a phase separation close to half-filling, with a hole density in the hole-rich phase which is a decreasing function of U. The energies suffer, however, from a fixed-node bias: more accurate nodes are needed to confirm this picture. Our extensive numerical results and their test against size, shell, shape and boundary condition effects also suggest that phase separation is quite a delicate issue, on which simulations based on smaller lattices than considered here are unlikely to give reliable predictions.Comment: 4 pages, 1 figure; revised version, more data point

Harmonic Vibrational Excitations in Disordered Solids and the "Boson Peak"

We consider a system of coupled classical harmonic oscillators with spatially fluctuating nearest-neighbor force constants on a simple cubic lattice. The model is solved both by numerically diagonalizing the Hamiltonian and by applying the single-bond coherent potential approximation. The results for the density of states $g(\omega)$ are in excellent agreement with each other. As the degree of disorder is increased the system becomes unstable due to the presence of negative force constants. If the system is near the borderline of stability a low-frequency peak appears in the reduced density of states $g(\omega)/\omega^2$ as a precursor of the instability. We argue that this peak is the analogon of the "boson peak", observed in structural glasses. By means of the level distance statistics we show that the peak is not associated with localized states

DYNAMICS OF RANDOMLY DILUTED ANTIFERROMAGNETS

The fracton scaling model, and the efective-medium-approximation are used to describe the excitation spectrum of randomly diluted antiferromagnets. The calculated scattering structure factor exhibits a crossover from extended magnons to localized fractons. These calculations are in agreement with experimental data of inelastic-neutron-scattering off spin-waves in MnxZn1-xF2

Magnetic state of Yb in Kondo-lattice YbNi₂B₂C

We report neutron scattering experiments performed to investigate the dynamic magnetic properties of the Kondo-lattice compound YbNi2B2C. The spectrum of magnetic excitations is found to be broad, extending up to at least 150 meV, and contains inelastic peaks centred near 18 meV and 43 meV. At low energies we observe quasielastic scattering with a width Gamma = 2.1 meV. The results suggest a Yb3+ ground state with predominantly localized 4f electrons subject to (i) a crystalline electric field (CEF) potential, and (ii) a Kondo interaction, which at low temperatures is about an order of magnitude smaller than the CEF interaction. From an analysis of the dynamic magnetic response we conclude that the crystalline electric field acting on the Yb ions has a similar anisotropy to that in other RNi2B2C compounds, but is uniformly enhanced by almost a factor of 2. The static and dynamic magnetic properties of YbNi2B2C are found to be reconciled quite well by means of an approximation scheme to the Anderson impurity model, and this procedure also indicates that the effective Kondo interaction varies with temperature due to the crystal field splitting. We discuss the nature of the correlated-electron ground state of YbNi2B2C based on these and other experimental results, and suggest that this compound might be close to a quantum critical point on the non-magnetic side.Comment: Revised version to be published in Phys Rev