139 research outputs found
Diquark Bose-Einstein condensation
Bose-Einstein condensation (BEC) of composite diquarks in quark matter (the
color superconductor phase) is discussed using the quasi-chemical equilibrium
theory at a relatively low density region near the deconfinement phase
transition, where dynamical quark-pair fluctuations are assumed to be described
as bosonic degrees of freedom (diquarks). A general formulation is given for
the diquark formation and particle-antiparticle pair-creation processes in the
relativistic flamework, and some interesting properties are shown, which are
characteristic for the relativistic many-body system. Behaviors of transition
temperature and phase diagram of the quark-diquark matter are generally
presented in model parameter space, and their asymptotic behaviors are also
discussed. As an application to the color superconductivity, the transition
temperatures and the quark and diquark density profiles are calculated in case
with constituent/current quarks, where the diquark is in bound/resonant state.
We obtained MeV for constituent quarks and MeV
for current quarks at a moderate density (). The method
is also developed to include interdiquark interactions into the quasi-chemical
equilibrium theory within a mean-field approximation, and it is found that a
possible repulsive diquark-diquark interaction lowers the transition
temperature by nearly 50%.Comment: 21 pages, 23 figure
Vector current conservation and neutrino emission from singlet-paired baryons in neutron stars
Neutrino emission caused by singlet Cooper pairing of baryons in neutron
stars is recalculated by accurately taking into account for conservation of the
vector weak currents. The neutrino emissivity via the vector weak currents is
found to be several orders of magnitude smaller than that obtained before by
different authors. This makes unimportant the neutrino radiation from singlet
pairing of protons or hyperons.Comment: 5 pages, 1 figur
Superconducting properties of the attractive Hubbard model
A self-consistent set of equations for the one-electron self-energy in the
ladder approximation is derived for the attractive Hubbard model in the
superconducting state. The equations provide an extension of a T-matrix
formalism recently used to study the effect of electron correlations on
normal-state properties. An approximation to the set of equations is solved
numerically in the intermediate coupling regime, and the one-particle spectral
functions are found to have four peaks. This feature is traced back to a peak
in the self-energy, which is related to the formation of real-space bound
states. For comparison we extend the moment approach to the superconducting
state and discuss the crossover from the weak (BCS) to the intermediate
coupling regime from the perspective of single-particle spectral densities.Comment: RevTeX format, 8 figures. Accepted for publication in Z.Phys.
Magnetic Properties of a Bose-Einstein Condensate
Three hyperfine states of Bose-condensed sodium atoms, recently optically
trapped, can be described as a spin-1 Bose gas. We study the behaviour of this
system in a magnetic field, and construct the phase diagram, where the
temperature of the Bose condensation increases with magnetic field.
In particular the system is ferromagnetic below and the magnetization
is proportional to the condensate fraction in a vanishing magnetic field.
Second derivatives of the magnetisation with regard to temperature or magnetic
field are discontinuous along the phase boundary.Comment: 5 pages, 5 figures included, to appear in Phys. Rev.
Phenomenological theory of cuprate superconductivity
Reasonably good agreement with the superconducting transitiontemperatures of the cuprate highâT c superconductors can be obtained on the basis of an approximate phenomenological theory. In this theory, two criteria are used to calculate the superconducting transitiontemperature. One is that the quantum wavelength is of the order of the electronâpair spacing. The other is that a fraction of the normal carriers exist as Cooper pairs at T c . The resulting simple equation for T c contains only two parameters: the normal carrier density and effective mass. We calculate specific transition temperatures for 12 cuprate superconductors
Optimal interlayer hopping and high temperature BoseâEinstein condensation of local pairs in quasi 2D superconductors
Both FeSe and cuprate superconductors are quasi 2D materials with high transition temperatures and local fermion pairs. Motivated by such systems, we investigate real space pairing of fermions in an anisotropic lattice model with intersite attraction, V, and strong local Coulomb repulsion, U, leading to a determination of the optimal conditions for superconductivity from BoseâEinstein condensation. Our aim is to gain insight as to why high temperature superconductors tend to be quasi 2D. We make both analytically and numerically exact solutions for two body local pairing applicable to intermediate and strong V. We find that the BoseâEinstein condensation temperature of such local pairs pairs is maximal when hopping between layers is intermediate relative to in-plane hopping, indicating that the quasi 2D nature of unconventional superconductors has an important contribution to their high transition temperatures
Molecular formations in ultracold mixtures of interacting and noninteracting atomic gases
Atom-molecule equilibrium for molecular formation processes is discussed for
boson-fermion, fermion-fermion, and boson-boson mixtures of ultracold atomic
gases in the framework of quasichemical equilibrium theory. After presentation
of the general formulation, zero-temperature phase diagrams of the
atom-molecule equilibrium states are calculated analytically; molecular, mixed,
and dissociated phases are shown to appear for the change of the binding energy
of the molecules. The temperature dependences of the atom or molecule densities
are calculated numerically, and finite-temperature phase structures are
obtained of the atom-molecule equilibrium in the mixtures. The transition
temperatures of the atom or molecule Bose-Einstein condensations are also
evaluated from these results. Quantum-statistical deviations of the law of mass
action in atom-molecule equilibrium, which should be satisfied in mixtures of
classical Maxwell-Boltzmann gases, are calculated, and the difference in the
different types of quantum-statistical effects is clarified. Mean-field
calculations with interparticle interactions (atom-atom, atom-molecule, and
molecule-molecule) are formulated, where interaction effects are found to give
the linear density-dependent term in the effective molecular binding energies.
This method is applied to calculations of zero-temperature phase diagrams,
where new phases with coexisting local-equilibrium states are shown to appear
in the case of strongly repulsive interactions.Comment: 35 pages, 14 figure
Metal-Insulator Transition in the Two-Dimensional Hubbard Model at Half-Filling with Lifetime Effects within the Moment Approach
We explore the effect of the imaginary part of the self-energy,
, having a single pole, ,
with spectral weight, , and quasi-particle lifetime,
, on the density of states. We solve the set of parameters,
), , and by means of
the moment approach (exact sum rules) of Nolting. Our choice for
, satisfies the Kramers - Kronig relationship automatically.
Due to our choice of the self - energy, the system is not a Fermi liquid for
any value of the interaction, a result which is also true in the moment
approach of Nolting without lifetime effects. By increasing the value of the
local interaction, , at half-filling (), we go from a
paramagnetic metal to a paramagnetic insulator, (Mott metal - insulator
transition ()) for values of of the order of ( is
the band width) which is in agreement with numerical results for finite
lattices and for infinity dimensions (). These results settle down
the main weakness of the spherical approximation of Nolting: a finite gap for
any finite value of the interaction, i.e., an insulator for any finite value of
. Lifetime effects are absolutely indispensable. Our scheme works better
than the one of improving the narrowing band factor, , beyond the
spherical approximation of Nolting.Comment: 5 pages and 5 ps figures (included
Bose-Einstein condensation of atomic gases in a harmonic oscillator confining potential trap
We present a model which predicts the temperature of Bose-Einstein
condensation in atomic alkali gases and find excellent agreement with recent
experimental observations. A system of bosons confined by a harmonic oscillator
potential is not characterized by a critical temperature in the same way as an
identical system which is not confined. We discuss the problem of Bose-Einstein
condensation in an isotropic harmonic oscillator potential analytically and
numerically for a range of parameters of relevance to the study of low
temperature gases of alkali metals.Comment: 11 pages latex with two postscript figure
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