Negative-ion formation from surface scattering and the Anderson correlation energy U

A theoretical investigation of negative-ion formation from positive-ion-surface scattering is presented from a unified point of view. Based on the time-dependent Anderson-Newns model, the correlation energy U is seen to play an important role in the two-electron transfer process. Calculations of the probability of negative-ion formation are in good agreement with experiments on the conversion of H⁺(D⁺) to H^?(D^?) by scattering from a cesiated W(100) surface.     

Two-magnon Raman scattering in antiferromagnets at finite temperatures

A high density perturbation method is employed to calculate the two-magnon Raman scattering spectra of antiferromagnets at finite temperatures. The theory incorporates the leading order effects of magnon-magnon interactions, and the results are applied to RbMnF₃ and NiO in the antiferromagnetic phase. A comparison is made with experimental work and fairly good agreement is obtained.     

Two-magnon Raman scattering in two-dimensional antiferromagnets at finite temperatures

The temperature dependence of two-magnon Raman scattering in the quadratic-layer antiferromagnets K₂NiF₄ and K₂MnF₄ is found to agree with the higher-order Green function theory of Balucani and Tognetti. New experimental data on K₂MnF₄ are also presented.     

Quasi-particles at finite temperatures

We study the consequences of the KMS-condition on the properties of quasi-particles, assuming their existence. We establish

1. If the correlation functions decay sufficiently, we can create them by quasi-free field operators.
2. The outgoing and incoming quasi-free fields coincide, there is no scattering.
3. There are may age-operatorsT conjugate toH. For special forms of the dispersion law ε(k) of the quasi-particles there is aT commuting with the number of quasi-particles and its time-monotonicity describes how the quasi-particles travel to infinity.

     

Strange matter at finite temperatures

The properties of strange quark matter at finite temperatures and in equilibrium with respect to weak interaction are explored on the basis of the MIT bag model picture of QCD. Furthermore, to determine the stability of strange quark matter, analogous investigations are also performed for nuclear matter within Walecka's model field theory. It is found that strange quark matter can be stable at zero external pressure only for temperatures below 20 MeV. The existence of this limiting temperature is a consequence of the Van der Waals like behaviour of nuclear matter at low temperatures.     

Quark potentials at finite temperatures

We scan the quark-antiquark potential and the meson-meson potential for static quarks in aSU ₃ gluon field from strong coupling to weak coupling. The breakdown of the confinement between quark and antiquark at the phase transition is observed. There is no interaction between pointlike mesons in the whole coupling regime. It is pointed out that the interaction mechanism between two quark clusters can be classified by these two fundamental examples.     

Gross features of finite nuclei at finite temperatures

A simple expression is obtained for the low-temperature behaviour of the energy and entropy of finite nuclei for 20 ￡ leq A ￡ leq 250 . The dependence on A of these quantities is for the most part due to the presence of the asymmetry energy.     

Boson Mott insulators at finite temperatures

We discuss the finite temperature properties of ultracold bosons in optical lattices in the presence of an additional, smoothly varying potential, as in current experiments. Three regimes emerge in the phase diagram: a low-temperature Mott regime similar to the zero-temperature quantum phase, an intermediate regime where Mott insulator features persist, but where superfluidity is absent, and a thermal regime where features of the Mott insulator state have disappeared. We obtain the thermodynamic functions of the Mott phase in the latter cases. The results are used to estimate the temperatures achieved by adiabatic loading in current experiments. We point out the crucial role of the trapping potential in determining the final temperature, and suggest a scheme for further cooling by adiabatic decompression.     

Nuclear interface energy at finite temperatures

The thermodynamic properties at finite temperatures of the plane interface between two phases of nuclear matter in equilibrium are examined theoretically, and explored numerically. The microscopic hamiltonian, the Skyrme I′ interaction, is used in the Thomas-Fermi approximation to obtain the finite-temperature extensions of earlier zero-temperature results which used the Hartree-Fock and Thomas-Fermi methods. Approximate analytic fits are given to the χ_i (proton fraction on the dense-matter side) dependence of the critical temperature, and to the T and χ_i dependences of the surface thermodynamic potentials, the density of surface neutrons, the surface entropy and the neutron and proton chemical potentials at phase equilibrium. These fits are an ingredient in a compressible liquid-drop nuclear model, the basis of an equation of state for hot, dense matter needed in certain astrophysical applications.The liquid-drop model is used here to construct an isolated, low-T nucleus, whose properties are compared with the original zero-T Hartree-Fock calculations which lead to the Skyrme I interaction, and with other mass formulae. The low-temperature expansion of the surface energy is compared with that obtained in other calculations. The nuclear level density at the Fermi surface, related to the low-T expansion of the entropy of the whole nucleus, is also discussed.     

Comment on the supersymmetry at finite temperatures

We comment on some of the general thermostatistical properties of the global supersymmetry characterized by Grassmann parameters, which are shared by the ordinary supersymmetry as well as by the BRS supersymmetry associated with any gauge symmetry including local supersymmetry.     

Epitaxially strained SnTiO_3 at finite temperatures

By combining the effective Hamiltonian approach and direct ab initio computation, we obtain the phase diagram of SnTiO_3 with respect to epitaxial strain and temperature. This demonstrates the complex features of the phase diagram and provides an insight into this system, which is a presumably simple perovskite. Two triple points, as shown in the phase diagram, may be exploited to achieve high-performance piezoelectric effects. Despite the inclusion of the degree of freedom related to oxygen octahedron tilting, the ferroelectric displacements dominate the structural phases over the whole misfit strain range. Finally, we show that SnTiO_3 can change from hard to soft ferroelectrics with the epitaxial strain.     

Static potentials for quarkonia at finite temperatures

We review non-perturbative static potentials commonly used in potential models for quarkonia at finite T. Potentials derived from Polyakov loop correlators are shown to be inappropriate for this purpose. The free energy is physical but has the wrong spatial decay and perturbative limit. The so-called singlet free energy is gauge dependent and unphysical. An appropriate static real time potential can be defined through a generalisation of pNRQCD to finite T. In perturbation theory, its real part reproduces the Debye-screened potential, its imaginary part accounts for Landau damping. Possibilities for its non-perturbative evaluation are discussed.