7,169 research outputs found
The Kelvin Formula for Thermopower
Thermoelectrics are important in physics, engineering, and material science
due to their useful applications and inherent theoretical difficulty,
especially in strongly correlated materials. Here we reexamine the framework
for calculating the thermopower, inspired by ideas of Lord Kelvin from 1854. We
find an approximate but concise expression, which we term as the Kelvin formula
for the the Seebeck coefficient. According to this formula, the Seebeck
coefficient is given as the particle number derivative of the entropy
, at constant volume and temperature ,
. This formula is shown to be competitive compared to other
approximations in various contexts including strongly correlated systems. We
finally connect to a recent thermopower calculation for non-Abelian fractional
quantum Hall states, where we point out that the Kelvin formula is exact.Comment: 6 pages, 2 figure
Thermopower of Two-Dimensional Electrons at = 3/2 and 5/2
The longitudinal thermopower of ultra-high mobility two-dimensional electrons
has been measured at both zero magnetic field and at high fields in the
compressible metallic state at filling factor and the
incompressible fractional quantized Hall state at . At zero field
our results demonstrate that the thermopower is dominated by electron diffusion
for temperatures below about mK. A diffusion dominated thermopower is
also observed at and allows us to extract an estimate of the
composite fermion effective mass. At both the temperature and
magnetic field dependence of the observed thermopower clearly signal the
presence of the energy gap of this fractional quantized Hall state. We find
that the thermopower in the vicinity of exceeds that recently
predicted under the assumption that the entropy of the 2D system is dominated
by non-abelian quasiparticle exchange statistics.Comment: 10 pages, 10 figures
Thermopower as a Possible Probe of Non-Abelian Quasiparticle Statistics in Fractional Quantum Hall Liquids
We show in this paper that thermopower is enhanced in non-Abelian quantum
Hall liquids under appropriate conditions. This is because thermopower measures
entropy per electron in the clean limit, while the degeneracy and entropy
associated with non-Abelian quasiparticles enhance entropy when they are
present. Thus thermopower can potentially probe non-Abelian nature of the
quasiparticles, and measure their quantum dimension.Comment: 5 pages. Minor revisions in response to referee comments. Published
versio
Quantum Nernst effect in a bismuth single crystal
We report a theoretical calculation explaining the quantum Nernst effect
observed experimentally in a bismuth single crystal. Generalizing the
edge-current picture in two dimensions, we show that the peaks of the Nernst
coefficient survive in three dimensions due to a van Hove singularity. We also
evaluate the phonon-drag effect on the Nernst coefficient numerically. Our
result agrees with the experimental result for a bismuth single crystal.Comment: 4 pages, 4 figures, to be published in Proceedings of ISQM-Tokyo '0
Quantum kinetic approach to the calculation of the Nernst effect
We show that the strong Nernst effect observed recently in amorphous
superconducting films far above the critical temperature is caused by the
fluctuations of the superconducting order parameter. We employ the quantum
kinetic approach for the derivation of the Nernst coefficient. We present here
the main steps of the calculation and discuss some subtle issues that we
encountered while calculating the Nernst coefficient. In particular, we
demonstrate that in the limit T=0 the contribution of the magnetization ensures
the vanishing of the Nernst signal in accordance with the third law of
thermodynamics. We obtained a striking agreement between our theoretical
calculations and the experimental data in a broad region of temperatures and
magnetic fields.Comment: 24 pages, 13 figure
Fluctuations of the superconducting order parameter as an origin of the Nernst effect
We show that the strong Nernst signal observed recently in amorphous
superconducting films far above the critical temperature is caused by the
fluctuations of the superconducting order parameter. We demonstrate a striking
agreement between our theoretical calculations and the experimental data at
various temperatures and magnetic fields. Besides, the Nernst effect is
interesting not only in the context of superconductivity. We discuss some
subtle issues in the theoretical study of thermal phenomena that we have
encountered while calculating the Nernst coefficient. In particular, we explain
how the Nernst theorem (the third law of thermodynamics) imposes a strict
constraint on the magnitude of the Nernst effect.Comment: 6 pages, 5 figures, extended versio
Nernst-Ettingshausen effect in two-component electronic liquids
A simple model describing the Nernst-Ettingshausen effect (NEE) in
two-component electronic liquids is formulated. The examples considered include
graphite, where the normal and Dirac fermions coexist, superconductor in
fluctuating regime, with coexisting Cooper pairs and normal electrons, and the
inter-stellar plasma of electrons and protons. We give a general expression for
the Nernst constant and show that the origin of a giant NEE is in the strong
dependence of the chemical potential on temperature in all cases
Thermohydrodynamics in Quantum Hall Systems
A theory of thermohydrodynamics in two-dimensional electron systems in
quantizing magnetic fields is developed including a nonlinear transport regime.
Spatio-temporal variations of the electron temperature and the chemical
potential in the local equilibrium are described by the equations of
conservation with the number and thermal-energy flux densities. A model of
these flux densities due to hopping and drift processes is introduced for a
random potential varying slowly compared to both the magnetic length and the
phase coherence length. The flux measured in the standard transport experiment
is derived and is used to define a transport component of the flux density. The
equations of conservation can be written in terms of the transport component
only. As an illustration, the theory is applied to the Ettingshausen effect, in
which a one-dimensional spatial variation of the electron temperature is
produced perpendicular to the current.Comment: 10 pages, 1 figur
Quasiparticle Hall Transport of d-wave Superconductors in Vortex State
We present a theory of quasiparticle Hall transport in strongly type-II
superconductors within their vortex state. We establish the existence of
integer quantum spin Hall effect in clean unconventional
superconductors in the vortex state from a general analysis of the
Bogoliubov-de Gennes equation. The spin Hall conductivity is
shown to be quantized in units of . This result does not
rest on linearization of the BdG equations around Dirac nodes and therefore
includes inter-nodal physics in its entirety. In addition, this result holds
for a generic inversion-symmetric lattice of vortices as long as the magnetic
field satisfies . We then derive the
Wiedemann-Franz law for the spin and thermal Hall conductivity in the vortex
state. In the limit of , the thermal Hall conductivity satisfies
. The
transitions between different quantized values of as well as
relation to conventional superconductors are discussed.Comment: 18 pages REVTex, 3 figures, references adde
Thermoelectric Response of an Interacting Two-Dimensional Electron Gas in Quantizing Magnetic Field
We present a discussion of the linear thermoelectric response of an
interacting electron gas in a quantizing magnetic field. Boundary currents can
carry a significant fraction of the net current passing through the system. We
derive general expressions for the bulk and boundary components of the number
and energy currents. We show that the local current density may be described in
terms of ``transport'' and ``internal magnetization'' contributions. The latter
carry no net current and are not observable in standard transport experiments.
We show that although Onsager relations cannot be applied to the local current,
they are valid for the transport currents and hence for the currents observed
in standard transport experiments. We relate three of the four thermoelectric
response coefficients of a disorder-free interacting two-dimensional electron
gas to equilibrium thermodynamic quantities. In particular, we show that the
diffusion thermopower is proportional to the entropy per particle, and we
compare this result with recent experimental observations.Comment: 18 pages, 2 postscript figures included. Revtex with epsf.tex and
multicol.sty. In the revised version, the comparison with experimental
observations at is extended to include the possibility of
corrections due to weak impurity scattering. The conclusions that we reach
regarding the applicability of the composite fermion model at these filling
fractions are not affecte
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