287 research outputs found
Quantum statistical metastability for a finite spin
We study quantum-classical escape-rate transitions for uniaxial and biaxial
models with finite spins S=10 (such as Mn_12Ac and Fe_8) and S=100 by a direct
numerical approach. At second-order transitions the level making a dominant
contribution into thermally assisted tunneling changes gradually with
temperature whereas at first-order transitions a group of levels is skipped.
For finite spins, the quasiclassical boundaries between first- and second-order
transitions are shifted, favoring a second-order transition: For Fe_8 in zero
field the transition should be first order according to a theory with S \to
\infty, but we show that there are no skipped levels at the transition.
Applying a field along the hard axis in Fe_8 makes transition the strongest
first order. For the same model with S=100 we confirmed the existence of a
region where a second-order transition is followed by a first-order transition
[X. Martines Hidalgo and E. M. Chudnovsky, J. Phys.: Condensed Matter (in
press)].Comment: 7 Phys. Rev. pages, 10 figures, submitted to PR
Tunnelling series in terms of perturbation theory for quantum spin systems
Considered is quantum tunnelling in anisotropic spin systems in a magnetic
field perpendicular to the anisotropy axis. In the domain of small field the
problem of calculating tunnelling splitting of energy levels is reduced to
constructing the perturbatio n series with degeneracy, the order of degeneracy
being proportional to a spin value. Partial summation of this series taking
into account ''dangerous terms'' with small denominators is performed and the
value of tunnelling splitting is calculated with allowance for the first
correction with respect to a magnetic field.Comment: 7 pages, REVTeX 3.
Macroscopic Quantum Tunneling of a Domain Wall in a Ferromagnetic Metal
The macroscopic quantum tunneling of a planar domain wall in a ferromagnetic
metal is studied based on the Hubbard model. It is found that the ohmic
dissipation is present even at zero temperature due to the gapless Stoner
excitation, which is the crucial difference from the case of the insulating
magnet. The dissipative effect is calculated as a function of width of the wall
and is shown to be effective in a thin wall and in a weak ferromagnet. The
results are discussed in the light of recent experiments on ferromagnets with
strong anisotropy. PACS numbers:75.60.Ch, 03.65.Sq, 75.10.LpComment: 13page
Macroscopic Quantum Coherence in a Magnetic Nanoparticle Above the Surface of a Superconductor
We study macroscopic quantum tunneling of the magnetic moment in a
single-domain particle placed above the surface of a superconductor. Such a
setup allows one to manipulate the height of the energy barrier, preserving the
degeneracy of the ground state. The tunneling amplitude and the effect of the
dissipation in the superconductor are computed.Comment: RevTeX, 4 pages, 1 figure. Submitted to Phys. Rev. Let
Macroscopic Quantum Tunneling and Dissipation of Domain Wall in Ferromagnetic Metals
The depinning of a domain wall in ferromagentic metal via macroscopic quantum
tunneling is studied based on the Hubbard model. The dynamics of the
magnetization verctor is shown to be governed by an effective action of
Heisenberg model with a term non-local in time that describes the dissipation
due to the conduction electron. Due to the existence of the Fermi surface there
exists Ohmic dissipation even at zero temperature, which is crucially different
from the case of the insulator. Taking into account the effect of pinning and
the external magnetic field the action is rewritten in terms of a collective
coordinate, the position of the wall, . The tunneling rate for is
calculated by use of the instanton method. It is found that the reduction of
the tunneling rate due to the dissipation is very large for a thin domain wall
with thickness of a few times the lattice spacing, but is negligible for a
thick domain wall. Dissipation due to eddy current is shown to be negligible
for a wall of mesoscopic size.Comment: of pages 26, to appear in "Quantum Tunneling of Magnetization, ed. B.
Barbara and L. Gunther (Kluwer Academic Pub.), Figures available by FAX
(81-48-462-4649
The Order of Phase Transitions in Barrier Crossing
A spatially extended classical system with metastable states subject to weak
spatiotemporal noise can exhibit a transition in its activation behavior when
one or more external parameters are varied. Depending on the potential, the
transition can be first or second-order, but there exists no systematic theory
of the relation between the order of the transition and the shape of the
potential barrier. In this paper, we address that question in detail for a
general class of systems whose order parameter is describable by a classical
field that can vary both in space and time, and whose zero-noise dynamics are
governed by a smooth polynomial potential. We show that a quartic potential
barrier can only have second-order transitions, confirming an earlier
conjecture [1]. We then derive, through a combination of analytical and
numerical arguments, both necessary conditions and sufficient conditions to
have a first-order vs. a second-order transition in noise-induced activation
behavior, for a large class of systems with smooth polynomial potentials of
arbitrary order. We find in particular that the order of the transition is
especially sensitive to the potential behavior near the top of the barrier.Comment: 8 pages, 6 figures with extended introduction and discussion; version
accepted for publication by Phys. Rev.
Dipolar ordering in Fe8?
We show that the low-temperature physics of molecular nanomagnets, contrary
to the prevailing one-molecule picture, must be determined by the long-range
magnetic ordering due to many-body dipolar interactions. The calculations here
performed, using Ewald's summation, suggest a ferromagnetic ground state with a
Curie temperature of about 130 mK. The energy of this state is quite close to
those of an antiferromagnetic state and to a glass of frozen spin chains. The
latter may be realized at finite temperature due to its high entropy.Comment: 7 pages, no figures, submitted to EP
Quantum-Classical Phase Transition of Escape rate in Biaxial Spin Particles
The escape rates of the biaxial single domain spin particles with and without
an applied magnetic field are investigated. Using the strict potential field
description of spin systems developed by Ulyanov and Zaslavskii we obtain new
effective Hamiltonians which are considered to be in exact spin-coordinate
correspondence unlike the well studied effective Hamiltonians with the
approximate correspondence. The sharp first-order transition is found in both
cases. The phase diagram of the transitions depending on the anisotropy
constant and the external field is also given.Comment: 15 pages, 8 figure
Crossover between Thermally Assisted and Pure Quantum Tunneling in Molecular Magnet Mn12-Acetate
The crossover between thermally assisted and pure quantum tunneling has been
studied in single crystals of high spin (S=10) uniaxial molecular magnet Mn12
using micro-Hall-effect magnetometry. Magnetic hysteresis and relaxation
experiments have been used to investigate the energy levels that determine the
magnetization reversal as a function of magnetic field and temperature. These
experiments demonstrate that the crossover occurs in a narrow (0.1 K) or broad
(1 K) temperature interval depending on the magnitude of the field transverse
to the anisotropy axis.Comment: 5 pages, 4 figure
Gravity in 2+1 dimensions as a Riemann-Hilbert problem
In this paper we consider 2+1-dimensional gravity coupled to N
point-particles. We introduce a gauge in which the - and
-components of the dreibein field become holomorphic and
anti-holomorphic respectively. As a result we can restrict ourselves to the
complex plane. Next we show that solving the dreibein-field: is
equivalent to solving the Riemann-Hilbert problem for the group . We
give the explicit solution for 2 particles in terms of hypergeometric
functions. In the N-particle case we give a representation in terms of
conformal field theory. The dreibeins are expressed as correlators of 2 free
fermion fields and twistoperators at the position of the particles.Comment: 32 pages Latex, 4 figures (uuencoded
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