10,238 research outputs found
Point Charge Self-Energy in the General Relativity
Singularities in the metric of the classical solutions to the Einstein
equations (Schwarzschild, Kerr, Reissner -- Nordstr\"om and Kerr -- Newman
solutions) lead to appearance of generalized functions in the Einstein tensor
that are not usually taken into consideration. The generalized functions can be
of a more complex nature than the Dirac \d-function. To study them, a
technique has been used based on a limiting solution sequence. The solutions
are shown to satisfy the Einstein equations everywhere, if the energy-momentum
tensor has a relevant singular addition of non-electromagnetic origin. When the
addition is included, the total energy proves finite and equal to , while
for the Kerr and Kerr--Newman solutions the angular momentum is .
As the Reissner--Nordstr\"om and Kerr--Newman solutions correspond to the point
charge in the classical electrodynamics, the result obtained allows us to view
the point charge self-energy divergence problem in a new fashion.Comment: VI Fridmann Seminar, France, Corsica, Corgeze, 2004, LaTeX, 6 pages,
2 fige
Weak localization, Aharonov-Bohm oscillations and decoherence in arrays of quantum dots
Combining scattering matrix theory with non-linear -model and Keldysh
technique we develop a unified theoretical approach enabling one to
non-perturbatively study the effect of electron-electron interactions on weak
localization and Aharonov-Bohm oscillations in arbitrary arrays of quantum
dots. Our model embraces (i) weakly disordered conductors (ii) strongly
disordered conductors and (iii) metallic quantum dots. In all these cases at the electron decoherence time is found to saturate to a finite value
determined by the universal formula which agrees quantitatively with numerous
experimental results. Our analysis provides overwhelming evidence in favor of
electron-electron interactions as a universal mechanism for zero temperature
electron decoherence in disordered conductors.Comment: 19 pages, 13 figures, invited paper, published in a special issue of
Fiz. Nizk. Temp. (Kharkov) dedicated to Prof. Igor Kuli
Quantal Brownian Motion - Dephasing and Dissipation
We analyze quantal Brownian motion in dimensions using the unified model
for diffusion localization and dissipation, and Feynman-Vernon formalism. At
high temperatures the propagator possess a Markovian property and we can write
down an equivalent Master equation. Unlike the case of the
Zwanzig-Caldeira-Leggett model, genuine quantum mechanical effects manifest
themselves due to the disordered nature of the environment. Using Wigner
picture of the dynamics we distinguish between two different mechanisms for
destruction of coherence. The analysis of dephasing is extended to the low
temperature regime by using a semiclassical strategy. Various results are
derived for ballistic, chaotic, diffusive, both ergodic and non-ergodic motion.
We also analyze loss of coherence at the limit of zero temperature and clarify
the limitations of the semiclassical approach. The condition for having
coherent effect due to scattering by low-frequency fluctuations is also pointed
out. It is interesting that the dephasing rate can be either larger or smaller
than the dissipation rate, depending on the physical circumstances.Comment: LaTex, 23 pages, 4 figures, published vesio
Evidence for magnetoplasmon character of the cyclotron resonance response of a two-dimensional electron gas
Experimental results on the absolute magneto-transmission of a series of high
density, high mobility GaAs quantum wells are compared with the predictions of
a recent magnetoplasmon theory for values of the filling factor above 2. We
show that the magnetoplasmon picture can explain the non-linear features
observed in the magnetic field evolution of the cyclotron resonance energies
and of the absorption oscillator strength. This provides experimental evidence
that inter Landau level excitations probed by infrared spectroscopy need to be
considered as many body excitations in terms of magnetoplasmons: this is
especially true when interpreting the oscillator strengths of the cyclotron
transitions
Interaction-Induced Quantum Dephasing in Mesoscopic Rings
Combining nonperturbative techniques with Monte Carlo simulations we
demonstrate that quantum coherence effects for a particle on a ring are
suppressed beyond a finite length even at zero temperature if the
particle is coupled to a diffusive electron gas by means of long range Coulomb
interaction. This length is consistent with derived from
weak-localization-type of analysis.Comment: 4 revtex pages, 2 figure
Absence of electron dephasing at zero temperature
Dephasing of electrons due to the electron-electron interaction has recently
been the subject of a controversial debate, with different calculations
yielding mutually incompatible results. In this paper we prove, by means of
Ward identities, that neither a Coulomb interaction nor a short-ranged model
interaction can lead to phase breaking at zero temperature in spatial
dimensions d>2.Comment: 7 pp., LaTeX, no figs, final version as publishe
Coulomb blockade in one-dimensional arrays of high conductance tunnel junctions
Properties of one-dimensional (1D) arrays of low Ohmic tunnel junctions (i.e.
junctions with resistances comparable to, or less than, the quantum resistance
k) have been studied experimentally
and theoretically. Our experimental data demonstrate that -- in agreement with
previous results on single- and double-junction systems -- Coulomb blockade
effects survive even in the strong tunneling regime and are still clearly
visible for junction resistances as low as 1 k. We have developed a
quasiclassical theory of electron transport in junction arrays in the strong
tunneling regime. Good agreement between the predictions of this theory and the
experimental data has been observed. We also show that, due to both heating
effects and a relatively large correction to the linear relation between the
half-width of the conductance dip around zero bias voltage, , and the
measured electronic temperature, such arrays are inferior to those
conventionally used in the Coulomb Blockade Thermometry (CBT). Still, the
desired correction to the half-width, , can be determined
rather easily and it is proportional to the magnitude of the conductance dip
around zero bias voltage, . The constant of proportionality is a
function of the ratio of the junction and quantum resistances, ,
and it is a pure strong tunneling effect.Comment: LaTeX file + five postscript figure
Persistent current noise and electron-electron interactions
We analyze fluctuations of persistent current (PC) produced by a charged
quantum particle moving in a ring and interacting with a dissipative
environment formed by diffusive electron gas. We demonstrate that in the
presence of interactions such PC fluctuations persist down to zero temperature.
In the case of weak interactions and/or sufficiently small values of the ring
radius PC noise remains coherent and can be tuned by external magnetic flux
piercing the ring. In the opposite limit of strong interactions and/or
large values of fluctuations in the electronic bath strongly suppress
quantum coherence of the particle down to and induce incoherent
-independent current noise in the ring which persists even at
when the average PC is absent.Comment: 12 pages, 8 figure
Low temperature properties of a quantum particle coupled to dissipative environments
We study the dynamics of a quantum particle coupled to dissipative (ohmic)
environments, such as an electron liquid. For some choices of couplings, the
properties of the particle can be described in terms of an effective mass. A
particular case is the three dimensional dirty electron liquid. In other
environments, like the one described by the Caldeira-Leggett model, the
effective mass diverges at low temperatures, and quantum effects are strongly
suppressed. For interactions within this class, arbitrarily weak potentials
lead to localized solutions. Particles bound to external potentials, or moving
in closed orbits, can show a first order transition, between strongly and
weakly localized regimes.Comment: 10 page
Parity-Affected Superconductivity in Ultrasmall Metallic Grains
We investigate the breakdown of BCS superconductivity in {\em ultra}\/small
metallic grains as a function of particle size (characterized by the mean
spacing between discrete electronic eigenstates), and the parity ( =
even/odd) of the number of electrons on the island. Assuming equally spaced
levels, we solve the parity-dependent BCS gap equation for the order parameter
. Both the critical level spacing and the
critical temperature at which are parity
dependent, and both are so much smaller in the odd than the even case that
these differences should be measurable in current experiments.Comment: 4 pages RevTeX, 1 encapsulated postscript figure, submitted to
Physical Review Letter
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