Symmetry-broken local-density approximation for one-dimensional systems

Generalized Local Density Approximation Uniform Electron Gases . II . The Generalized Local Density Approximation in One Dimension

We introduce a generalization (gLDA) of the traditional Local Density Approximation (LDA) within density functional theory. The gLDA uses both the one-electron Seitz radius rs and a two-electron hole curvature parameter η at each point in space. The gLDA reduces to the LDA when applied to the infinite homogeneous electron gas but, unlike the LDA, is is also exact for finite uniform electron gas...

The survival probability and the local density of states for one-dimensional Hamiltonian systems

For chaotic systems there is a theory for the decay of the survival probability, and for the parametric dependence of the local density of states. This theory leads to the distinction between ”perturbative” and ”non-perturbative” regimes, and to the observation that semiclassical tools are useful in the latter case. We discuss what is ”left” from this theory in the case of one-dimensional syste...

Survival probability and local density of states for one-dimensional Hamiltonian systems

For chaotic systems there is a theory for the decay of the survival probability, and for the parametric dependence of the local density of states. This theory leads to the distinction between “perturbative” and “non-perturbative” regimes, and to the observation that semiclassical tools are useful in the latter case. We discuss what is “left” from this theory in the case of one-dimensional syste...

Nature of the broken-symmetry phase of the one-dimensional metallic In/Si(111) surface

Representative statistical ensembles for Bose systems with broken gauge symmetry

Bose-condensed systems with broken global gauge symmetry are considered. The description of these systems, as has been shown by Hohenberg and Martin, possesses an internal inconsistency, resulting in either nonconserving theories or yielding an unphysical gap in the spectrum. The general notion of representative statistical ensembles is formulated for arbitrary statistical systems, equilibrium ...