2,449 research outputs found
Universal behaviour of ideal and interacting quantum gases in two dimensions
I discuss ideal and interacting quantum gases obeying general fractional
exclusion statistics. For systems with constant density of single-particle
states, described in the mean field approximation, the entropy depends neither
on the microscopic exclusion statistics, nor on the interaction. Such systems
are called {\em thermodynamically equivalent} and I show that the microscopic
reason for this equivalence is a one-to-one correspondence between the excited
states of these systems. This provides a method, different from the
bosonisation technique, to transform between systems of different exclusion
statistics. In the last section the macroscopic aspects of this method are
discussed.
In Appendix A I calculate the fluctuation of the ground state population of a
condensed Bose gas in grandcanonical ensemble and mean field approximation,
while in Appendix B I show a situation where although the system exhibits
fractional exclusion properties on microscopic energy intervals, a rigorous
calculation of the population of single particle states reveals a condensation
phenomenon. This also implies a malfunction of the usual and simplified
calculation technique of the most probable statistical distributions.Comment: About 14 journal pages, with 1 figure. Changes: Body of paper: same
content, with slight rephrasing. Apendices are new. In the original
submission I just mentioned the condensation, which is now detailed in
Appendix B. They were intended for a separate paper. Reason for changes:
rejection from Phys. Rev. Lett., resubmission to J. Phys. A: Math. Ge
On the difference between proton and neutron spin-orbit splittings in nuclei
The latest experimental data on nuclei at Sn permit us for the first
time to determine the spin-orbit splittings of neutrons and protons in
identical orbits in this neutron-rich doubly-magic region and compare the case
to that of Pb. Using the new results, which are now consistent for the
two neutron-rich doubly magic regions, a theoretical analysis defines the
isotopic dependence of the mean field spin-orbit potential and leads to a
simple explicit expression for the difference between the spin-orbit splittings
of neutrons and protons. The isotopic dependence is explained in the framework
of different theoretical approaches.Comment: 8 pages, revte
Exclusion Statistics in a two-dimensional trapped Bose gas
We briefly explain the notion of exclusion statistics and in particular
discuss the concept of an ideal exclusion statistics gas. We then review a
recent work where it is demonstrated that a {\em two-dimensional} Bose gas with
repulsive delta function interactions obeys ideal exclusion statistics, with a
fractional parameter related to the interaction strength.Comment: 10 pages, RevTeX. Proceedings of the Salerno workshop "Theory of
Quantum Gases and Quantum Coherence", to appear in a special issue of J.Phys.
B, Dec. 200
Classical antiferromagnet on a hyperkagome lattice
Motivated by recent experiments on Na_4Ir_3O_8 [Y. Okamoto, M. Nohara, H.
Aruga-Katori, and H. Takagi, arXiv:0705.2821 (unpublished)], we study the
classical antiferromagnet on a frustrated three-dimensional lattice obtained by
selectively removing one of four sites in each tetrahedron of the pyrochlore
lattice. This ``hyperkagome'' lattice consists of corner-sharing triangles. We
present the results of large-N mean field theory and Monte Carlo computations
on O(N) classical spin models. It is found that the classical ground states are
highly degenerate. Nonetheless a nematic order emerges at low temperatures in
the Heisenberg model (N=3) via ``order by disorder'', representing the
dominance of coplanar spin configurations. Implications for ongoing experiments
are discussed.Comment: 4 pages, 6 figures, published versio
On the isospin dependence of the mean spin-orbit field in nuclei
By the use of the latest experimental data on the spectra of Sb and
Sn and on the analysis of properties of other odd nuclei adjacent to
doubly magic closed shells the isospin dependence of a mean spin-orbit
potential is defined. Such a dependence received the explanation in the
framework of different theoretical approaches.Comment: 52 pages, Revtex, no figure
An embedding potential definition of channel functions
We show that the imaginary part of the embedding potential, a generalised
logarithmic derivative, defined over the interface between an electrical lead
and some conductor, has orthogonal eigenfunctions which define conduction
channels into and out of the lead. In the case of an infinitely extended
interface we establish the relationship between these eigenfunctions and the
Bloch states evaluated over the interface. Using the new channel functions, a
well-known result for the total transmission through the conductor system is
simply derived.Comment: 14 pages, 2 figure
Bosonic and fermionic single-particle states in the Haldane approach to statistics for identical particles
We give two formulations of exclusion statistics (ES) using a variable number
of bosonic or fermionic single-particle states which depend on the number of
particles in the system. Associated bosonic and fermionic ES parameters are
introduced and are discussed for FQHE quasiparticles, anyons in the lowest
Landau level and for the Calogero-Sutherland model. In the latter case, only
one family of solutions is emphasized to be sufficient to recover ES;
appropriate families are specified for a number of formulations of the
Calogero-Sutherland model. We extend the picture of variable number of
single-particle states to generalized ideal gases with statistical interaction
between particles of different momenta. Integral equations are derived which
determine the momentum distribution for single-particle states and distribution
of particles over the single-particle states in the thermal equilibrium.Comment: 6 pages, REVTE
Observation of coherent electron transport in self-catalysed InAs and InAs1–xSbx nanowires grown on silicon
We report the observation of phase coherent transport in catalyst-free InAs and InAs1–xSbx nanowires grown by molecular beam epitaxy on silicon (111) substrates. We investigate three different methods to gain information on the phase coherence length of the nanowires: first through the study of universal conductance fluctuations as a function of both magnetic field and gate voltage and then through localisation effects. The analysis of these different quantum effects gave consistent results and a phase-coherence length in the hundred nanometre range was extracted for all nanowires below 10 K. This demonstrates the potential of catalyst-free nanowires as building blocks for future quantum electronics devices directly integrated with silicon circuits
- …