27,356 research outputs found
Is there a prescribed parameter's space for the adiabatic geometric phase?
The Aharonov-Anandan and Berry phases are determined for the cyclic motions
of a non-relativistic charged spinless particle evolving in the superposition
of the fields produced by a Penning trap and a rotating magnetic field.
Discussion about the selection of the parameter's space and the relationship
between the Berry phase and the symmetry of the binding potential is given.Comment: 7 pages, 2 figure
Competition between quantum spin tunneling and Kondo effect
Quantum spin tunneling (QST) and Kondo effect are two very different quantum
phenomena that produce the same effect on quantized spins, namely, the
quenching of their magnetization. However, the nature of this quenching is very
different so that QST and Kondo effects compete with each other. Importantly,
both QST and Kondo produce very characteristic features in the spectral
function that can be measured by means of single spin scanning tunneling
spectroscopy that makes it possible to probe the crossover from one regime to
the other. We model this crossover, and the resulting changes in transport,
using a non-perturbative treatment of a generalized Anderson model including
magnetic anisotropy that leads to quantum spin tunneling. We predict that, at
zero magnetic field, integer spins can feature a split-Kondo peak driven by
quantum spin tunneling.Comment: 5 pages, 3 figures; accepted in EPJB; replaced with revised
manuscrip
Supersymmetric partners of the trigonometric Poschl-Teller potentials
The first and second-order supersymmetry transformations are used to generate
Hamiltonians with known spectra departing from the trigonometric Poschl-Teller
potentials. The several possibilities of manipulating the initial spectrum are
fully explored, and it is shown how to modify one or two levels, or even to
leave the spectrum unaffected. The behavior of the new potentials at the
boundaries of the domain is studied.Comment: 20 pages, 4 figure
Hydrogenated Graphene Nanoribbons for Spintronics
We show how hydrogenation of graphene nanoribbons at small concentrations can
open new venues towards carbon-based spintronics applications regardless of any
especific edge termination or passivation of the nanoribbons. Density
functional theory calculations show that an adsorbed H atom induces a spin
density on the surrounding orbitals whose symmetry and degree of
localization depends on the distance to the edges of the nanoribbon. As
expected for graphene-based systems, these induced magnetic moments interact
ferromagnetically or antiferromagnetically depending on the relative adsorption
graphene sublattice, but the magnitude of the interactions are found to
strongly vary with the position of the H atoms relative to the edges. We also
calculate, with the help of the Hubbard model, the transport properties of
hydrogenated armchair semiconducting graphene nanoribbons in the diluted regime
and show how the exchange coupling between H atoms can be exploited in the
design of novel magnetoresistive devices
Distorted Heisenberg Algebra and Coherent States for Isospectral Oscillator Hamiltonians
The dynamical algebra associated to a family of isospectral oscillator
Hamiltonians is studied through the analysis of its representation in the basis
of energy eigenstates. It is shown that this representation becomes similar to
that of the standard Heisenberg algebra, and it is dependent of a parameter
. We name it {\it distorted Heisenberg algebra}, where is the
distortion parameter. The corresponding coherent states for an arbitrary
are derived, and some particular examples are discussed in full detail. A
prescription to produce the squeezing, by adequately selecting the initial
state of the system, is given.Comment: 21 pages, Latex, 3 figures available as hard copies upon request from
the first Autho
Phases of anisotropic dipolar antiferromagnets
We study systems of classical magnetic dipoles on simple cubic lattices with
dipolar and antiferromagnetic exchange interactions. By analysis and Monte
Carlo (MC) simulations, we find how the antiferromagnetic phases vary with
uniaxial and fourfold anisotropy constants, C and D, as well as with exchange
strength J. We pay special attention to the spin reorientation (SR) phase, and
exhibit in detail the nature of its broken symmetries. By mean field theory and
by MC, we also obtain the ratio of the higher ordering temperature to the SR
transition temperature, and show that it depends mainly on D/C, and rather
weakly on J. We find a reverse SR transition.Comment: 10 LaTeX pages, 14 eps figures. Submitted to PRB on 03 October 2005.
Accepted on 13 December 200
Berry phase in homogeneous K\"ahler manifolds with linear Hamiltonians
We study the total (dynamical plus geometrical (Berry)) phase of cyclic
quantum motion for coherent states over homogeneous K\"ahler manifolds X=G/H,
which can be considered as the phase spaces of classical systems and which are,
in particular cases, coadjoint orbits of some Lie groups G. When the
Hamiltonian is linear in the generators of a Lie group, both phases can be
calculated exactly in terms of {\em classical} objects. In particular, the
geometric phase is given by the symplectic area enclosed by the (purely
classical) motion in the space of coherent states.Comment: LaTeX fil
Lusternik-Schnirelmann category of simplicial complexes and finite spaces
In this paper we establish a natural definition of Lusternik-Schnirelmann
category for simplicial complexes via the well known notion of contiguity. This
category has the property of being homotopy invariant under strong
equivalences, and only depends on the simplicial structure rather than its
geometric realization.
In a similar way to the classical case, we also develop a notion of geometric
category for simplicial complexes. We prove that the maximum value over the
homotopy class of a given complex is attained in the core of the complex.
Finally, by means of well known relations between simplicial complexes and
posets, specific new results for the topological notion of category are
obtained in the setting of finite topological spaces.Comment: 18 pages, 10 figures, this is a new version with some minor changes
and a new exampl
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