1,989 research outputs found
Single and two-particle energy gaps across the disorder-driven superconductor-insulator transition
The competition between superconductivity and localization raises profound
questions in condensed matter physics. In spite of decades of research, the
mechanism of the superconductor-insulator transition (SIT) and the nature of
the insulator are not understood. We use quantum Monte Carlo simulations that
treat, on an equal footing, inhomogeneous amplitude variations and phase
fluctuations, a major advance over previous theories. We gain new microscopic
insights and make testable predictions for local spectroscopic probes. The
energy gap in the density of states survives across the transition, but
coherence peaks exist only in the superconductor. A characteristic pseudogap
persists above the critical disorder and critical temperature, in contrast to
conventional theories. Surprisingly, the insulator has a two-particle gap scale
that vanishes at the SIT, despite a robust single-particle gap.Comment: 7 pages, 5 figures (plus supplement with 4 pages, 5 figures
Superconductor-Insulator Transition in a Disordered Electronic System
We study an electronic model of a 2D superconductor with onsite randomness
using Quantum Monte Carlo simulations. The superfluid density is used to track
the destruction of superconductivity in the ground state with increasing
disorder. The non-superconducting state is identified as an insulator from the
temperature dependence of its d.c. resistivity. The value of
at the superconductor-insulator transition appears to be non-universal.Comment: PostScript, 4 pages, figures include
A Gaussian Theory of Superfluid--Bose-Glass Phase Transition
We show that gaussian quantum fluctuations, even if infinitesimal, are
sufficient to destroy the superfluidity of a disordered boson system in 1D and
2D. The critical disorder is thus finite no matter how small the repulsion is
between particles. Within the gaussian approximation, we study the nature of
the elementary excitations, including their density of states and mobility edge
transition. We give the gaussian exponent at criticality in 1D and show
that its ratio to of the pure system is universal.Comment: Revtex 3.0, 11 pages (4 figures will be sent through airmail upon
request
Disordered Boson Systems: A Perturbative Study
A hard-core disordered boson system is mapped onto a quantum spin 1/2
XY-model with transverse random fields. It is then generalized to a system of
spins with an arbitrary magnitude S and studied through a 1/S expansion. The
first order 1/S expansion corresponds to a spin-wave theory. The effect of weak
disorder is studied perturbatively within such a first order 1/S scheme. We
compute the reduction of the speed of sound and the life time of the Bloch
phonons in the regime of weak disorder. Generalizations of the present study to
the strong disordered regime are discussed.Comment: 27 pages, revte
Critical Exponents for Three-Dimensional Superfluid--Bose-Glass Phase Transition
The critical phenomenon of the zero temperature superfluid--Bose-glass phase
transition for hard-core bosons on a three-dimensional disordered lattice is
studied using a quantum real-space renormalization-group method. The
correlation-length exponent and the dynamic exponent z are computed. The
critical exponent z is found to be 2.5 for compressible states and 1.3 for
incompressible states. The exponent is shown to be insensitive to z as
that in the two-dimensional case, and has value roughly equal to 1.Comment: 11 pages, REVTE
Numerical analysis of the magnetic-field-tuned superconductor-insulator transition in two dimensions
Ground state of the two-dimensional hard-core-boson model subjected to
external magnetic field and quenched random chemical potential is studied
numerically. In experiments, magnetic-field-tuned superconductor-insulator
transition has already come under through investigation, whereas in computer
simulation, only randomness-driven localization (with zero magnetic field) has
been studied so far: The external magnetic field brings about a difficulty that
the hopping amplitude becomes complex number (through the gauge twist), for
which the quantum Monte-Carlo simulation fails. Here, we employ the exact
diagonalization method, with which we demonstrate that the model does exhibit
field-tuned localization transition at a certain critical magnetic field. At
the critical point, we found that the DC conductivity is not universal, but is
substantially larger than that of the randomness-driven localization transition
at zero magnetic field. Our result supports recent experiment by Markovi'c et
al. reporting an increase of the critical conductivity with magnetic field
strengthened
Supersymmetric Chern-Simons Theories with Vector Matter
In this paper we discuss SU(N) Chern-Simons theories at level k with both
fermionic and bosonic vector matter. In particular we present an exact
calculation of the free energy of the N=2 supersymmetric model (with one chiral
field) for all values of the 't Hooft coupling in the large N limit. This is
done by using a generalization of the standard Hubbard-Stratanovich method
because the SUSY model contains higher order polynomial interactions.Comment: 46 pages, 24 figures, v2: comments and references added, v3: a
footnote in Section 3.5 adde
One Net Fits All: A unifying semantics of Dynamic Fault Trees using GSPNs
Dynamic Fault Trees (DFTs) are a prominent model in reliability engineering.
They are strictly more expressive than static fault trees, but this comes at a
price: their interpretation is non-trivial and leaves quite some freedom. This
paper presents a GSPN semantics for DFTs. This semantics is rather simple and
compositional. The key feature is that this GSPN semantics unifies all existing
DFT semantics from the literature. All semantic variants can be obtained by
choosing appropriate priorities and treatment of non-determinism.Comment: Accepted at Petri Nets 201
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