667 research outputs found
Scaling, Finite Size Effects, and Crossovers of the Resistivity and Current-Voltage Characteristics in Two-Dimensional Superconductors
We revisit the scaling properties of the resistivity and the current-voltage
characteristics at and below the Berezinskii-Kosterlitz-Thouless transition,
both in zero and nonzero magnetic field. The scaling properties are derived by
integrating the renormalization group flow equations up to a scale where they
can be reliably matched to simple analytic expressions. The vortex fugacity
turns out to be dangerously irrelevant for these quantities below Tc, thereby
altering the scaling behavior. We derive the possible crossover effects as the
current, magnetic field, or system size is varied, and find a strong
multiplicative logarithmic correction near Tc, all of which is necessary to
account for when interpreting experiments and simulation data. Our analysis
clarifies a longstanding discrepancy between the finite size dependence found
in many simulations and the current-voltage characteristics of experiments. We
further show that the logarithmic correction can be avoided by approaching the
transition in a magnetic field, thereby simplifying the scaling analysis. We
confirm our results by large-scale numerical simulations, and calculate the
dynamic critical exponent z, for relaxational Langevin dynamics and for
resistively and capacitively shunted Josephson junction dynamics.Comment: 5 pages, 2 figure
Critical exponents of the O(N) model in the infrared limit from functional renormalization
We determined the critical exponent of the scalar O(N) model with a
strategy based on the definition of the correlation length in the infrared
limit. The functional renormalization group treatment of the model shows that
there is an infrared fixed point in the broken phase. The appearing degeneracy
induces a dynamical length scale there, which can be considered as the
correlation length. It is shown that the IR scaling behavior can account either
for the Ising type phase transition in the 3-dimensional O(N) model, or for the
Kosterlitz-Thouless type scaling of the 2-dimensional O(2) model.Comment: final version, 7 pages 7 figures, to appear in Phys. Rev.
4e-condensation in a fully frustrated Josephson junction diamond chain
Fully frustrated one-dimensional diamond Josephson chains have been shown [B.
Dou\c{c}ot and J. Vidal, Phys. Rev. Lett. {\bf 88}, 227005 (2002)] to posses a
remarkable property: The superfluid phase occurs through the condensation of
pairs of Cooper pairs. By means of Monte Carlo simulations we analyze
quantitatively the Insulator to -Superfluid transition. We determine the
location of the critical point and discuss the behaviour of the phase-phase
correlators. For comparison we also present the case of a diamond chain at zero
and 1/3 frustration where the standard -condensation is observed.Comment: 5 pages, 7 figure
Scaling behaviour of trapped bosonic particles in two dimensions at finite temperature
In the framework of the trap-size scaling theory, we study the scaling
properties of the Bose-Hubbard model in two dimensions in the presence of a
trapping potential at finite temperature. In particular, we provide results for
the particle density and the density-density correlator at the Mott transitions
and within the superfluid phase. For the former quantity, numerical outcomes
are also extensively compared to Local Density Approximation predictions.Comment: 8 pages, 9 figure
Observation of the Presuperfluid Regime in a Two-Dimensional Bose Gas
In complementary images of coordinate-space and momentum-space density in a
trapped 2D Bose gas, we observe the emergence of pre-superfluid behavior. As
phase-space density increases toward degenerate values, we observe a
gradual divergence of the compressibility from the value predicted by
a bare-atom model, . grows to 1.7 before
reaches the value for which we observe the sudden emergence of a spike
at in momentum space. Momentum-space images are acquired by means of a 2D
focusing technique. Our data represent the first observation of non-meanfield
physics in the pre-superfluid but degenerate 2D Bose gas.Comment: Replace with the version appeared in PR
Quantum phase slips in the presence of finite-range disorder
To study the effect of disorder on quantum phase slips (QPS) in
superconducting wires, we consider the plasmon-only model where disorder can be
incorporated into a first-principles instanton calculation. We consider weak
but general finite-range disorder and compute the formfactor in the QPS rate
associated with momentum transfer. We find that the system maps onto
dissipative quantum mechanics, with the dissipative coefficient controlled by
the wave (plasmon) impedance Z of the wire and with a superconductor-insulator
transition at Z=6.5 kOhm. We speculate that the system will remain in this
universality class after resistive effects at the QPS core are taken into
account.Comment: 4 pages, as accepted at Phys. Rev. Letter
Anomalously Sharp Superconducting Transitions in Overdoped Films
We present measurements of -plane resistivity and
superfluid density [, = magnetic penetration
depth] in films. As Sr concentration exceeds about
0.22, the superconducting transition sharpens dramatically, becoming as narrow
as 200 mK near the super-to-normal metal quantum critical point. At the same
time, , , and transition temperature
decrease, and upward curvature develops in . Given the sharp
transitions, we interpret these results in the context of a homogeneous d-wave
superconducting state, with elastic scattering that is enhanced relative to
underdoped LSCO due to weaker electron correlations. This interpretation
conflicts with the viewpoint that the overdoped state is inhomogeneous due to
phase separation into superconducting and normal metal regions.Comment: 21 pages including 3 figures and 56 references. This version includes
responses to referees and slight correction of data on two films. Conclusions
the same as befor
Topological superconductivity and Majorana fermions in hybrid structures involving cuprate high-T_c superconductors
The possibility of inducing topological superconductivity with cuprate
high-temperature superconductors (HTSC) is studied for various
heterostructures. We first consider a ballistic planar junction between a HTSC
and a metallic ferromagnet. We assume that inversion symmetry breaking at the
tunnel barrier gives rise to Rashba spin-orbit coupling in the barrier and
allows equal-spin triplet superconductivity to exist in the ferromagnet.
Bogoliubov-de Gennes equations are obtained by explicitly modeling the barrier,
and taking account of the transport anisotropy in the HTSC. By making use of
the self-consistent boundary conditions and solutions for the barrier and HTSC
regions, an effective equation of motion for the ferromagnet is obtained where
Andreev scattering at the barrier is incorporated as a boundary condition for
the ferromagnetic region. For a ferromagnet layer deposited on a (100) facet of
the HTSC, triplet p-wave superconductivity is induced. For the layer deposited
on a (110) facet, the induced gap does not have the p-wave orbital character,
but has an even orbital symmetry and an odd dependence on energy. For the layer
on the (001) facet, an exotic f-wave superconductivity is induced. We also
consider the induced triplet gap in a one-dimensional half-metallic nanowire
deposited on a (001) facet of a HTSC. We find that for a wire axis along the
a-axis, a robust triplet p-wave gap is induced. For a wire oriented 45 degrees
away from the a-axis the induced triplet p-wave gap vanishes. For the
appropriately oriented wire, the induced p-wave gap should give rise to
Majorana fermions at the ends of the half-metallic wire. Based on our result,
topological superconductivity in a semi-conductor nanowire may also be possible
given that it is oriented along the a-axis of the HTSC.Comment: 14 pages, 4 figure
Phase Transition with the Berezinskii--Kosterlitz--Thouless Singularity in the Ising Model on a Growing Network
We consider the ferromagnetic Ising model on a highly inhomogeneous network
created by a growth process. We find that the phase transition in this system
is characterised by the Berezinskii--Kosterlitz--Thouless singularity, although
critical fluctuations are absent, and the mean-field description is exact.
Below this infinite order transition, the magnetization behaves as
. We show that the critical point separates the phase
with the power-law distribution of the linear response to a local field and the
phase where this distribution rapidly decreases. We suggest that this phase
transition occurs in a wide range of cooperative models with a strong
infinite-range inhomogeneity. {\em Note added}.--After this paper had been
published, we have learnt that the infinite order phase transition in the
effective model we arrived at was discovered by O. Costin, R.D. Costin and C.P.
Grunfeld in 1990. This phase transition was considered in the papers: [1] O.
Costin, R.D. Costin and C.P. Grunfeld, J. Stat. Phys. 59, 1531 (1990); [2] O.
Costin and R.D. Costin, J. Stat. Phys. 64, 193 (1991); [3] M. Bundaru and C.P.
Grunfeld, J. Phys. A 32, 875 (1999); [4] S. Romano, Mod. Phys. Lett. B 9, 1447
(1995). We would like to note that Costin, Costin and Grunfeld treated this
model as a one-dimensional inhomogeneous system. We have arrived at the same
model as a one-replica ansatz for a random growing network where expected to
find a phase transition of this sort based on earlier results for random
networks (see the text). We have also obtained the distribution of the linear
response to a local field, which characterises correlations in this system. We
thank O. Costin and S. Romano for indicating these publications of 90s.Comment: 5 pages, 2 figures. We have added a note indicating that the infinite
order phase transition in the effective model we arrived at was discovered in
the work: O. Costin, R.D. Costin and C.P. Grunfeld, J. Stat. Phys. 59, 1531
(1990). Appropriate references to the papers of 90s have been adde
Ab initio methods for finite temperature two-dimensional Bose gases
The stochastic Gross-Pitaevskii equation and modified Popov theory are shown
to provide an ab initio description of finite temperature, weakly-interacting
two-dimensional Bose gas experiments. Using modified Popov theory, a systematic
approach is developed in which the momentum cut-off inherent to classical field
methods is removed as a free parameter. This is shown to yield excellent
agreement with the recent experiment of Hung et al. [Nature, 470, 236 (2011)],
verifying that the stochastic Gross-Pitaevskii equation captures the observed
universality and scale-invariance.Comment: 5 pages, 4 figure
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