3,923 research outputs found
Specific heat jump at superconducting transition in the presence of Spin-Density-Wave in iron-pnictides
We analyze the magnitude of the specific heat jump \Delta C at the
superconducting transition temperature T_c in the situation when
superconductivity develops in the pre-existing antiferromagnetic phase. We show
that \Delta C/T_c differs from the BCS value and is peaked at the tri-critical
point where this coexistence phase first emerges. Deeper in the magnetic phase,
the onset of coexistence, T_c, drops and \Delta C/T_c decreases, roughly as
\Delta C/T_c \propto T^2_c at intermediate T_c and exponentially at the lowest
T_c, in agreement with the observed behavior of \Delta C/T_c in iron-based
superconductors.Comment: 4+ pages, 3 figure
Enhancement of by disorder in underdoped iron pnictides
We analyze how disorder affects the transition temperature of the
superconducting state in the iron pnictides. The conventional wisdom is
that should rapidly decrease with increasing inter-band non-magnetic
impurity scattering, but we show that this behavior holds only in the overdoped
region of the phase diagram. In the underdoped regime, where superconductivity
emerges from a pre-existing magnetic state, disorder gives rise to two
competing effects: breaking of the Cooper pairs, which tends to reduce ,
and suppression of the itinerant magnetic order, which tends to bring
up. We show that for a wide range of parameters the second effect wins, leading
to an increase of with disorder in the coexistence state. Our results
explain several recent experimental findings and provide another evidence for
-pairing in the iron pnictides.Comment: 5 pages, 3 figures; revised version accepted in PRB-R
The yoga of commutators
In the present paper we discuss some recent versions of localisation methods
for calculations in the groups of points of algebraic-like and classical-like
groups. Namely, we describe relative localisation, universal localisation, and
enhanced versions of localisation-completion. Apart from the general strategic
description of these methods, we state some typical technical results of the
conjugation calculus and the commutator calculus. Also, we state several recent
results obtained therewith, such as relative standard commutator formulae,
bounded width of commutators, with respect to the elementary generators, and
nilpotent filtrations of congruence subgroups. Overall, this shows that
localisation methods can be much more efficient, than expected
Phonon-induced resistance oscillations of two-dimensional electron systems drifting with supersonic velocities
We present a theory of the phonon-assisted nonlinear dc transport of 2D
electrons in high Landau levels. The nonlinear dissipative resistivity displays
quantum magneto-oscillations governed by two parameters which are proportional
to the Hall drift velocity of electrons in electric field and the speed
of sound . In the subsonic regime, , the theory quantitatively
reproduces the oscillation pattern observed in recent experiments. We also find
the phase change of oscillations across the sound barrier . In
the supersonic regime, , the amplitude of oscillations saturates with
lowering temperature, while the subsonic region displays exponential
suppression of the phonon-assisted oscillations with temperature.Comment: 4 pages, 3 figure
Coexistence of superconductivity and a spin density wave in pnictides: Gap symmetry and nodal lines
We investigate the effect of a spin-density wave (SDW) on
superconductivity in Fe-based superconductors. We show that, contrary to the
common wisdom, no nodes open at the new, reconnected Fermi surfaces when the
hole and electron pockets fold down in the SDW state, despite the fact that the
gap changes sign between the two pockets. Instead, the order
parameter preserves its sign along the newly formed Fermi surfaces. The
familiar experimental signatures of an symmetry are still preserved,
although they appear in a mathematically different way. For a regular case
( the nodes do appear in the SDW state. This distinction suggests a
novel simple way to experimentally separate an state from a regular
in the pnictides. We argue that recently published thermal conductivity
data in the coexisting state are consistent with the but not the
state
Photovoltaic and Rectification Currents in Quantum Dots
We investigate theoretically and experimentally the statistical properties of
dc current through an open quantum dot subject to ac excitation of a
shape-defining gate. The symmetries of rectification current and photovoltaic
current with respect to applied magnetic field are examined. Theory and
experiment are found to be in good agreement throughout a broad range of
frequency and ac power, ranging from adiabatic to nonadiabatic regimes.Comment: 4 pages, 3 figures; related articles at http://marcuslab.harvard.ed
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