3,634 research outputs found
NAND gate response in a mesoscopic ring: An exact study
NAND gate response in a mesoscopic ring threaded with a magnetic flux
is investigated by using Green's function formalism. The ring is attached
symmetrically to two semi-infinite one-dimensional metallic electrodes and two
gate voltages, namely, and , are applied in one arm of the ring
those are treated as the two inputs of the NAND gate. We use a simple
tight-binding model to describe the system and numerically compute the
conductance-energy and current-voltage characteristics as functions of the gate
voltages, ring-to-electrode coupling strength and magnetic flux. Our
theoretical study shows that, for (, the
elementary flux-quantum) a high output current (1) (in the logical sense)
appears if one or both the inputs to the gate are low (0), while if both the
inputs to the gate are high (1), a low output current (0) appears. It clearly
exhibits the NAND gate behavior and this feature may be utilized in designing
an electronic logic gate.Comment: 8 pages, 5 figure
On Quasinormal Modes, Black Hole Entropy, and Quantum Geometry
Loop quantum gravity can account for the Bekenstein-Hawking entropy of a
black hole provided a free parameter is chosen appropriately. Recently, it was
proposed that a new choice of the Immirzi parameter could predict both black
hole entropy and the frequencies of quasinormal modes in the large limit,
but at the price of changing the gauge group of the theory. In this note we use
a simple physical argument within loop quantum gravity to arrive at the same
value of the parameter. The argument uses strongly the necessity of having
fermions satisfying basic symmetry and conservation principles, and therefore
supports SU(2) as the relevant gauge group of the theory.Comment: 3 pages, revtex4, no figures, discussion expanded and references
adde
Kerr black hole quasinormal frequencies
Black-hole quasinormal modes (QNM) have been the subject of much recent
attention, with the hope that these oscillation frequencies may shed some light
on the elusive theory of quantum gravity. We compare numerical results for the
QNM spectrum of the (rotating) Kerr black hole with an {\it exact} formula
Re, which is based on Bohr's correspondence
principle. We find a close agreement between the two. Possible implications of
this result to the area spectrum of quantum black holes are discussed.Comment: 3 pages, 2 figure
Black-hole radiation, the fundamental area unit, and the spectrum of particle species
Bekenstein and Mukhanov have put forward the idea that, in a quantum theory
of gravity a black hole should have a discrete mass spectrum with a concomitant
{\it discrete} line emission. We note that a direct consequence of this
intriguing prediction is that, compared with blackbody radiation, black-hole
radiance is {\it less} entropic. We calculate the ratio of entropy emission
rate from a quantum black hole to the rate of black-hole entropy decrease, a
quantity which, according to the generalized second law (GSL) of
thermodynamics, should be larger than unity. Implications of our results for
the GSL, for the value of the fundamental area unit in quantum gravity, and for
the spectrum of massless particles in nature are discussed.Comment: 4 page
Evidence for a null entropy of extremal black holes
We present some arguments in support of a {\it zero} entropy for {\it
extremal} black holes. These rely on a combination of both quantum,
thermodynamic, and statistical physics arguments. This result may shed some
light on the nature of these extreme objects. In addition, we show that within
a {\it quantum} framework the capture of a particle by an initially extremal
black hole always results with a final nonextremal black hole.Comment: 11 page
Superlubricity - a new perspective on an established paradigm
Superlubricity is a frictionless tribological state sometimes occurring in
nanoscale material junctions. It is often associated with incommensurate
surface lattice structures appearing at the interface. Here, by using the
recently introduced registry index concept which quantifies the registry
mismatch in layered materials, we prove the existence of a direct relation
between interlayer commensurability and wearless friction in layered materials.
We show that our simple and intuitive model is able to capture, down to fine
details, the experimentally measured frictional behavior of a hexagonal
graphene flake sliding on-top of the surface of graphite. We further predict
that superlubricity is expected to occur in hexagonal boron nitride as well
with tribological characteristics very similar to those observed for the
graphitic system. The success of our method in predicting experimental results
along with its exceptional computational efficiency opens the way for modeling
large-scale material interfaces way beyond the reach of standard simulation
techniques.Comment: 18 pages, 7 figure
Non-Archimedean character of quantum buoyancy and the generalized second law of thermodynamics
Quantum buoyancy has been proposed as the mechanism protecting the
generalized second law when an entropy--bearing object is slowly lowered
towards a black hole and then dropped in. We point out that the original
derivation of the buoyant force from a fluid picture of the acceleration
radiation is invalid unless the object is almost at the horizon, because
otherwise typical wavelengths in the radiation are larger than the object. The
buoyant force is here calculated from the diffractive scattering of waves off
the object, and found to be weaker than in the original theory. As a
consequence, the argument justifying the generalized second law from buoyancy
cannot be completed unless the optimal drop point is next to the horizon. The
universal bound on entropy is always a sufficient condition for operation of
the generalized second law, and can be derived from that law when the optimal
drop point is close to the horizon. We also compute the quantum buoyancy of an
elementary charged particle; it turns out to be negligible for energetic
considerations. Finally, we speculate on the significance of the absence from
the bound of any mention of the number of particle species in nature.Comment: RevTeX, 16 page
Can coarse-graining introduce long-range correlations in a symbolic sequence?
We present an exactly solvable mean-field-like theory of correlated ternary
sequences which are actually systems with two independent parameters. Depending
on the values of these parameters, the variance on the average number of any
given symbol shows a linear or a superlinear dependence on the length of the
sequence. We have shown that the available phase space of the system is made up
a diffusive region surrounded by a superdiffusive region. Motivated by the fact
that the diffusive portion of the phase space is larger than that for the
binary, we have studied the mapping between these two. We have identified the
region of the ternary phase space, particularly the diffusive part, that gets
mapped into the superdiffusive regime of the binary. This exact mapping implies
that long-range correlation found in a lower dimensional representative
sequence may not, in general, correspond to the correlation properties of the
original system.Comment: 10 pages including 1 figur
Degenerate Rotating Black Holes, Chiral CFTs and Fermi Surfaces I - Analytic Results for Quasinormal Modes
In this work we discuss charged rotating black holes in
that degenerate to extremal black holes with zero entropy. These black holes
have scaling properties between charge and angular momentum similar to those of
Fermi surface operators in a subsector of SYM. We add a
massless uncharged scalar to the five dimensional supergravity theory, such
that it still forms a consistent truncation of the type IIB ten dimensional
supergravity and analyze its quasinormal modes. Separating the equation of
motion to a radial and angular part, we proceed to solve the radial equation
using the asymptotic matching expansion method applied to a Heun equation with
two nearby singularities. We use the continued fraction method for the angular
Heun equation and obtain numerical results for the quasinormal modes. In the
case of the supersymmetric black hole we present some analytic results for the
decay rates of the scalar perturbations. The spectrum of quasinormal modes
obtained is similar to that of a chiral 1+1 CFT, which is consistent with the
conjectured field-theoretic dual. In addition, some of the modes can be found
analytically.Comment: 41 pages, 1 figure, LaTeX; v2: typos corrected, references adde
Quantum-mechanical model of the Kerr-Newman black hole
We consider a Hamiltonian quantum theory of stationary spacetimes containing
a Kerr-Newman black hole. The physical phase space of such spacetimes is just
six-dimensional, and it is spanned by the mass , the electric charge and
angular momentum of the hole, together with the corresponding canonical
momenta. In this six-dimensional phase space we perform a canonical
transformation such that the resulting configuration variables describe the
dynamical properties of Kerr-Newman black holes in a natural manner. The
classical Hamiltonian written in terms of these variables and their conjugate
momenta is replaced by the corresponding self-adjoint Hamiltonian operator and
an eigenvalue equation for the Arnowitt-Deser-Misner (ADM) mass of the hole,
from the point of view of a distant observer at rest, is obtained. In a certain
very restricted sense, this eigenvalue equation may be viewed as a sort of
"Schr\"odinger equation of black holes". Our "Schr\"odinger equation" implies
that the ADM mass, electric charge and angular momentum spectra of black holes
are discrete, and the mass spectrum is bounded from below. Moreover, the
spectrum of the quantity , where is the angular momentum per
unit mass of the hole, is strictly positive when an appropriate self-adjoint
extension is chosen. The WKB analysis yields the result that the large
eigenvalues of , and are of the form , where is an
integer. It turns out that this result is closely related to Bekenstein's
proposal on the discrete horizon area spectrum of black holes.Comment: 30 pages, 3 figures, RevTe
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