5,774 research outputs found
Theory of tricriticality for miscut surfaces
We propose a theory for the observed tricriticality in the orientational
phase diagram of Si(113) misoriented towards [001]. The systems seems to be at
or close to a very special point for long range interactions.Comment: Revtex, 1 ps figur
The Crossover from Impurity to Valence Band in Diluted Magnetic Semiconductors: The Role of the Coulomb Attraction by Acceptor
The crossover between an impurity band (IB) and a valence band (VB) regime as
a function of the magnetic impurity concentration in models for diluted
magnetic semiconductors (DMS) is studied systematically by taking into
consideration the Coulomb attraction between the carriers and the magnetic
impurities. The density of states and the ferromagnetic transition temperature
of a Spin-Fermion model applied to DMS are evaluated using Dynamical Mean-Field
Theory (DMFT) and Monte Carlo (MC) calculations. It is shown that the addition
of a square-well-like attractive potential can generate an IB at small enough
Mn doping for values of the exchange that are not strong enough
to generate one by themselves. We observe that the IB merges with the VB when
where is a function of and the Coulomb attraction strength
. Using MC calculations, we demonstrate that the range of the Coulomb
attraction plays an important role. While the on-site attraction, that has been
used in previous numerical simulations, effectively renormalizes for all
values of , an unphysical result, a nearest-neighbor range attraction
renormalizes only at very low dopings, i.e., until the bound holes wave
functions start to overlap. Thus, our results indicate that the Coulomb
attraction can be neglected to study Mn doped GaSb, GaAs, and GaP in the
relevant doping regimes, but it should be included in the case of Mn doped GaN
that is expected to be in the IB regime.Comment: 8 pages, 4 Postscript figures, RevTex
Force induced triple point for interacting polymers
We show the existence of a force induced triple point in an interacting
polymer problem that allows two zero-force thermal phase transitions. The phase
diagrams for three different models of mutually attracting but self avoiding
polymers are presented. One of these models has an intermediate phase and it
shows a triple point but not the others. A general phase diagram with
multicritical points in an extended parameter space is also discussed.Comment: 4 pages, 8 figures, revtex
Directed Polymers with Random Interaction : An Exactly Solvable Case -
We propose a model for two -dimensional directed polymers subjected to
a mutual -function interaction with a random coupling constant, and
present an exact renormalization group study for this system. The exact
-function, evaluated through an expansion for second
and third moments of the partition function, exhibits the marginal relevance of
the disorder at , and the presence of a phase transition from a weak to
strong disorder regime for . The lengthscale exponent for the critical
point is . We give details of the renormalization. We
show that higher moments do not require any new interaction, and hence the
function remains the same for all moments. The method is extended to
multicritical systems involving an chain interaction. The corresponding
disorder induced phase transition for has the critical exponent
. For both the cases, an essential singularity
appears for the lengthscale right at the upper critical dimension . We
also discuss the strange behavior of an annealed system with more than two
chains with pairwise random interactions among each other.Comment: No of pages: 36, 7figures on request, Revtex3, Report No:IP/BBSR/929
Effects of non-denumerable fixed points in finite dynamical systems
The motion of a spinning football brings forth the possible existence of a
whole class of finite dynamical systems where there may be non-denumerably
infinite number of fixed points. They defy the very traditional meaning of the
fixed point that a point on the fixed point in the phase space should remain
there forever, for, a fixed point can evolve as well! Under such considerations
one can argue that a free-kicked football should be non-chaotic.Comment: This paper is a replaced version to modify the not-so-true claim,
made unknowingly in the earlier version, of being first to propose the
peculiar dynamical systems as described in the paper. With respect to the
original workers, we present here our original finding
Dynamic Response of Ising System to a Pulsed Field
The dynamical response to a pulsed magnetic field has been studied here both
using Monte Carlo simulation and by solving numerically the meanfield dynamical
equation of motion for the Ising model. The ratio R_p of the response
magnetisation half-width to the width of the external field pulse has been
observed to diverge and pulse susceptibility \chi_p (ratio of the response
magnetisation peak height and the pulse height) gives a peak near the
order-disorder transition temperature T_c (for the unperturbed system). The
Monte Carlo results for Ising system on square lattice show that R_p diverges
at T_c, with the exponent , while \chi_p shows a peak at
, which is a function of the field pulse width . A finite size
(in time) scaling analysis shows that , with
. The meanfield results show that both the divergence of R
and the peak in \chi_p occur at the meanfield transition temperature, while the
peak height in , for small values of
. These results also compare well with an approximate analytical
solution of the meanfield equation of motion.Comment: Revtex, Eight encapsulated postscript figures, submitted to Phys.
Rev.
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