7,349 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
Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
We present a general hydrodynamic theory of transport in the vicinity of
superfluid-insulator transitions in two spatial dimensions described by
"Lorentz"-invariant quantum critical points. We allow for a weak impurity
scattering rate, a magnetic field B, and a deviation in the density, \rho, from
that of the insulator. We show that the frequency-dependent thermal and
electric linear response functions, including the Nernst coefficient, are fully
determined by a single transport coefficient (a universal electrical
conductivity), the impurity scattering rate, and a few thermodynamic state
variables. With reasonable estimates for the parameters, our results predict a
magnetic field and temperature dependence of the Nernst signal which resembles
measurements in the cuprates, including the overall magnitude. Our theory
predicts a "hydrodynamic cyclotron mode" which could be observable in ultrapure
samples. We also present exact results for the zero frequency transport
co-efficients of a supersymmetric conformal field theory (CFT), which is
solvable by the AdS/CFT correspondence. This correspondence maps the \rho and B
perturbations of the 2+1 dimensional CFT to electric and magnetic charges of a
black hole in the 3+1 dimensional anti-de Sitter space. These exact results are
found to be in full agreement with the general predictions of our hydrodynamic
analysis in the appropriate limiting regime. The mapping of the hydrodynamic
and AdS/CFT results under particle-vortex duality is also described.Comment: 44 pages, 4 figures; (v3) Added new subsection highlighting negative
Hall resistance at hole densities smaller than 1/
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
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
Oscillations of the Nernst coefficient in bismuth
We calculate the magnetic-field dependence (oscillations) of the Nernst
coefficient in bismuth at low temperatures for the case when the magnetic field
is directed along the trigonal axis of the crystal. In the calculations we take
into account the scattering of the electrons and holes in bismuth on impurities
and the dependence of this scattering on the magnetic field. The results of
these calculations are compared with the experimental data recently published
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
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