39 research outputs found
Johnson-Nyquist noise in films and narrow wires
The Johnson-Nyquist noise in narrow wires having a transverse size smaller
than the screening length is shown to be white up to the frequency and
to decay at higher frequencies as . In two-dimensional films
having a thickness smaller than the screening length, the Johnson-Nyquist noise
is predicted to be frequency independent up to the frequency
and to have a {\it universal} spectrum at higher frequencies. These
results are contrasted with the conventional noise spectra in neutral and
three-dimensional charged liquids
Effective charging energy for a regular granular metal array
We study the Ambegaokar-Eckern-Sch\"{o}n (AES) model for a regular array of
metallic grains coupled by tunnel junctions of conductance and calculate
both paramagnetic and diamagnetic terms in the Kubo formula for the
conductivity. We find analytically, and confirm by numerical path integral
Monte Carlo methods, that for the conductivity obeys an Arrhenius law
with an effective charging energy
when the temperature is sufficiently low, due to a subtle cancellation between
inelastic-cotunneling contributions in the paramagnetic and diamagnetic
terms. We present numerical results for the effective charging energy and
compare the results with recent theoretical analyses. We discuss the different
ways in which the experimentally observed
law could be attributed to disorder.Comment: 5 pages, 3 figures, ReVTeX; added estimates of effective charging
energies and discussion of effects of disorde
Dimensional crossover in SrRuO within slave-boson mean-field theory
Motivated by the anomalous temperature dependence of the c-axis resistivity
of SrRuO, the dimensional crossover from a network of perpendicular
one-dimensional chains to a two-dimensional system due to a weak hybridization
between the perpendicular chains is studied. The corresponding two-orbital
Hubbard model is treated within a slave-boson mean-field theory (SBMFT) to take
correlation effects into account such as the spin-charge separation on the
one-dimensional chains. Using an RPA-like formulation for the Green's function
of collective spinon-holon excitations the emergence of quasiparticles at
low-temperatures is examined. The results are used to discuss the evolution of
the spectral density and the c-axis transport within a tunneling approach. For
the latter a regime change between low- and high-temperature regime is found in
qualitative accordance with experimental data
Coulomb blockade and quantum tunnelling in the low-conductivity phase of granular metals
We study the effects of Coulomb interaction and inter-grain quantum
tunnelling in an array of metallic grains using the phase-functional approach
for temperatures well below the charging energy of individual
grains yet large compared to the level spacing in the grains. When the
inter-grain tunnelling conductance , the conductivity in
dimensions decreases logarithmically with temperature
(), while for ,
the conductivity shows simple activated behaviour ().
We show, for bare tunnelling conductance , that the parameter
determines the competition between
charging and tunnelling effects. At low enough temperatures in the regime
, a charge is shared among a finite
number of grains, and we find a soft
activation behaviour of the conductivity, , where is the effective
coordination number of a grain.Comment: 11 pages REVTeX, 3 Figures. Appendix added, replaced with published
versio
Coherent-incoherent transition in the sub-Ohmic spin-boson model
We study the spin-boson model with a sub-Ohmic bath using a variational
method. The transition from coherent dynamics to incoherent tunneling is found
to be abrupt as a function of the coupling strength and to exist for
any power , where the bath coupling is described by . We find non-monotonic temperature dependence of the
two-level gap and a re-entrance regime close to the transition due
to non-adiabatic low-frequency bath modes. Differences between thermodynamic
and dynamic conditions for the transition as well as the limitations of the
simplified bath description are discussed.Comment: 12 pages, 4 figure