1,155 research outputs found
Sequence of phase transitions induced in an array of Josephson junctions by their crossover to pi-state
We show that the transition of Josephson junctions between the conventional
and pi states caused by the decrease in temperature induces in a regular
two-dimensional array of such junctions not just a single phase transition
between two phases with different ordering but a sequence of two, three or four
phase transitions. The corresponding phase diagrams are constructed for the
cases of bipartite (square or honeycomb) and triangular lattices.Comment: 5 pages, v2: as published in EP
Coulomb Blockade and Insulator-to-Metal Quantum Phase Transition
We analyze an interplay between Coulomb blockade and quantum fluctuations in
a coherent conductor (with dimensionless conductance ) attached to
an Ohmic shunt. We demonstrate that at T=0 the system can be either an
insulator or a metal depending on whether its total resistance is larger or
smaller than k. In a metallic phase the Coulomb gap
is fully suppressed by quantum fluctuations. We briefly discuss possible
relation of this effect to recent experiments indicating the presence of a
metal-insulator phase transition in 2d disordered systems.Comment: 4 revtex pages, no figure
Disorder induced transition between s_+- and s_++ states in two-band superconductors
We have reexamined the problem of disorder in two-band superconductors, and
shown within the framework of the T-matrix approximation, that the suppression
of T_c can be described by a single parameter depending on the intraband and
interband impurity scattering rates. T_c is shown to be more robust against
nonmagnetic impurities than would be predicted in the trivial extension of
Abrikosov-Gor'kov theory. We find a disorder-induced transition from the
s_{\pm} state to a gapless and then to a fully gapped s_{++} state, controlled
by a single parameter -- the sign of the average coupling constant .
We argue that this transition has strong implications for experiments.Comment: 5 pages, 4 figures; suppl. material: 3 pages, 2 figures; published
versio
Dissipation, topology, and quantum phase transition in a one-dimensional Joesphson junction array
We study the phase diagram and quantum critical properties of a resistively
shunted Josephson junction array in one dimension from a strong coupling
analysis. After mapping the dissipative quantum phase model to an effective
sine-Gordon model we study the renormalization group flow and the phase
diagram. We try to bridge the phase diagrams obtained from the weak and the
strong coupling renormalization group calculations to extract a more
comprehensive picture of the complete phase diagram. The relevance of our
theory to experiments in nanowires is discussed.Comment: 13 pages, 3 figures, A few typos are correcte
Nonperturbative interaction effects in the thermodynamics of disordered wires
We study nonperturbative interaction corrections to the thermodynamic
quantities of multichannel disordered wires in the presence of the Coulomb
interactions. Within the replica nonlinear -model (NLM)
formalism, they arise from nonperturbative soliton saddle points of the
NLM action. The problem is reduced to evaluating the partition function
of a replicated classical one dimensional Coulomb gas. The state of the latter
depends on two parameters: the number of transverse channels in the wire,
N_{ch}, and the dimensionless conductance, G(L_T), of a wire segment of length
equal to the thermal diffusion length, L_T. At relatively high temperatures,
, the gas is dimerized, i.e. consists of bound
neutral pairs. At lower temperatures, ,
the pairs overlap and form a Coulomb plasma. The crossover between the two
regimes occurs at a parametrically large conductance ,
and may be studied independently from the perturbative effects. Specializing to
the high temperature regime, we obtain the leading nonperturbative correction
to the wire heat capacity. Its ratio to the heat capacity for noninteracting
electrons, C_0, is .Comment: 18 page
Counting Hamilton cycles in sparse random directed graphs
Let D(n,p) be the random directed graph on n vertices where each of the
n(n-1) possible arcs is present independently with probability p. A celebrated
result of Frieze shows that if then D(n,p) typically
has a directed Hamilton cycle, and this is best possible. In this paper, we
obtain a strengthening of this result, showing that under the same condition,
the number of directed Hamilton cycles in D(n,p) is typically
. We also prove a hitting-time version of this statement,
showing that in the random directed graph process, as soon as every vertex has
in-/out-degrees at least 1, there are typically
directed Hamilton cycles
Coulomb Blockade with Dispersive Interfaces
What quantity controls the Coulomb blockade oscillations if the dot--lead
conductance is essentially frequency--dependent ? We argue that it is the ac
dissipative conductance at the frequency given by the effective charging
energy. The latter may be very different from the bare charging energy due to
the interface--induced capacitance (or inductance). These observations are
supported by a number of examples, considered from the weak and strong coupling
(perturbation theory vs. instanton calculus) perspectives.Comment: 4 page
Powers of Hamilton cycles in pseudorandom graphs
We study the appearance of powers of Hamilton cycles in pseudorandom graphs,
using the following comparatively weak pseudorandomness notion. A graph is
-pseudorandom if for all disjoint and with and we have
. We prove that for all there is an
such that an -pseudorandom graph on
vertices with minimum degree at least contains the square of a
Hamilton cycle. In particular, this implies that -graphs with
contain the square of a Hamilton cycle, and thus
a triangle factor if is a multiple of . This improves on a result of
Krivelevich, Sudakov and Szab\'o [Triangle factors in sparse pseudo-random
graphs, Combinatorica 24 (2004), no. 3, 403--426].
We also extend our result to higher powers of Hamilton cycles and establish
corresponding counting versions.Comment: 30 pages, 1 figur
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