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David Parker

Publications and source records attributed to David Parker.

87 records · Page 5Linked to original sources
arXiv2012

Acoustic impedance and interface phonon scattering in Bi$_2$Te$_3$ and other semiconducting materials

We present first principles calculations of the phonon dispersions of Bi2Te3 and discuss these in relation to the acoustic phonon interface scattering in ceramics. The phonon dispersions show agreement with what is known from neutron scattering for the optic modes. We find a difference between the generalized gradient approximation and local density results for the acoustic branches. This is a consequence of an artificial compression of the van der Waals bonded gaps in the Bi2Te3 structure when using the generalized gradient approximation. As a result local density approximation calculations provide a better description of the phonon dispersions in Bi$_{2}$Te$_{3}$. A key characteristic of the acoustic dispersions is the existence of a strong anisotropy in the velocities. We develop a model for interface scattering in ceramics with acoustic wave anisotropy and apply this to Bi2Te3 and compare with PbTe and diamond.

cond-mat.mtrl-sci↗
arXiv2012

Pareto Curves for Probabilistic Model Checking

Multi-objective probabilistic model checking provides a way to verify several, possibly conflicting, quantitative properties of a stochastic system. It has useful applications in controller synthesis and compositional probabilistic verification. However, existing methods are based on linear programming, which limits the scale of systems that can be analysed and makes verification of time-bounded properties very difficult. We present a novel approach that addresses both of these shortcomings, based on the generation of successive approximations of the Pareto curve for a multi-objective model checking problem. We illustrate dramatic improvements in efficiency on a large set of benchmarks and show how the ability to visualise Pareto curves significantly enhances the quality of results obtained from current probabilistic verification tools.

cs.LO↗
arXiv2012

Observation of PT phase transition in a simple mechanical system

If a Hamiltonian is PT symmetric, there are two possibilities: Either the eigenvalues are entirely real, in which case the Hamiltonian is said to be in an unbroken-PT-symmetric phase, or else the eigenvalues are partly real and partly complex, in which case the Hamiltonian is said to be in a broken-PT-symmetric phase. As one varies the parameters of the Hamiltonian, one can pass through the phase transition that separates the unbroken and broken phases. This transition has recently been observed in a variety of laboratory experiments. This paper explains the phase transition in a simple and intuitive fashion and then describes an extremely elementary experiment in which the phase transition is easily observed.

math-ph↗
arXiv2012

Thermoelectric properties of AgGaTe$_2$ and related chalcopyrite structure materials

We present an analysis of the potential thermoelectric performance of p-type AgGaTe$_{2}$, which has already shown a $ZT$ of 0.8 with partial optimization, and observe that the same band structure features, such as a mixture of light and heavy bands and isotropic transport, that lead to this good performance are present in certain other ternary chalcopyrite structure semiconductors. We find that optimal performance of AgGaTe$_2$ will be found for hole concentrations between 4 $\times 10^{19}$ and 2 $\times 10^{20}$cm$^{-3}$ at 900 K, and 2 $\times 10^{19}$ and 10$^{20}$ cm$^{-3}$ at 700 K, and that certain other chalcopyrite semiconductors might show good thermoelectric performance at similar doping ranges and temperatures if not for higher lattice thermal conductivity.

cond-mat.mtrl-sci↗
arXiv2009

Proposed experiment: out-of-plane nodal lines in Sr$_{2}$RuO$_{4}$

Since the original proposal of an unconventional chiral order parameter in the ruthenate perovskite superconductor Sr$_{2}$RuO$_{4}$, much attention has been given to the possibility of out-of-plane nodal lines on the predominant $γ$ cylindrical Fermi surface given evidence for low-lying quasiparticle excitations in this material. Here I propose a tunneling spectroscopy experiment to determine whether such nodal lines in fact exist.

cond-mat.supr-con↗
arXiv2009

Possible phase-sensitive tests of pairing symmetry in pnictide superconductors

The discovery of the new class of pnictide superconductors has engendered a controversy about their pairing symmetry, with proposals ranging from an extended s-wave or "s$_{\pm}$" symmetry to nodal or nodeless d-wave symmetry to still more exotic order parameters such as p-wave. In this paper, building on the earlier, similar work performed for the cuprates, we propose several phase-sensitive Josephson interferometry experiments, each of which may allow resolution of the issue.

cond-mat.supr-con↗
arXiv2009

Incommensurate spin resonance in URu2Si2

We focus on inelastic neutron scattering in $URu_2Si_2$ and argue that observed gap in the fermion spectrum naturally leads to the spin feature observed at energies $ω_{res} = 4-6 meV$ at momenta at $\bQ^* = (1\pm 0.4, 0,0)$. We discuss how spin features seen in $URu_2Si_2$ can indeed be thought of in terms of {\em spin resonance} that develops in HO state and is {\em not related} to superconducting transition at 1.5K. In our analysis we assume that the HO gap is due to a particle-hole condensate that connects nested parts of the Fermi surface with nesting vector $\bf{Q}^* $. Within this approach we can predicted the behavior of the spin susceptibility at $\bQ^*$ and find it to be is strikingly similar to the phenomenology of resonance peaks in high-T$_c$ and heavy fermion superconductors. The energy of the resonance peak scales with $T_{HO}$ $ω_{res} \simeq 4 k_BT_{HO}$. We discuss observable consequences spin resonance will have on neutron scattering and local density of states.

cond-mat.str-el↗
arXiv2006

Theory of tunneling spectroscopy in UPd2Al3

There is still significant debate about the symmetry of the order parameter in the heavy-fermion superconductor UPd$_{2}$Al$_{3}$, with proposals for cos(k3), cos(2k3), sin(k3),and exp(iϕ) sin(k3). Here we analyze the tunneling spectroscopy of this compound and demonstrate that the experimental results by Jourdan et al are inconsistent with the last two order parameters, which are expected to show zero-bias conductance peaks. We propose a definitive tunneling experiment to distinguish between the first two order parameters.

cond-mat.supr-con↗
arXiv2006

Small $T_1^{-1}$ coherence peak near $T_c$ in unconventional superconductors

It is usually believed that a coherence peak just below T$_{c}$ in the nuclear spin lattice relaxation rate T$_{1}^{-1}$ in superconducting materials is a signature of conventional s-wave pairing. In this paper we demonstrate that any unconventional superconductor obeying BCS pure-case weak-coupling theory should show a small T$_{1}^{-1}$ coherence peak near T$_{c}$, generally with a height between 3 and 15 percent greater than the normal state T$_{1}^{-1}$ at T$_{c}$. It is largely due to impurity effects that this peak has not commonly been observed.

cond-mat.supr-con↗
arXiv2006

Resonance Impurity Scattering in PrOs$_{4}$Sb$_{12}$

We study the effect of impurity scattering in the unitarity limit on the A and B phase superconductivity in PrOs4Sb12. We take the triplet superconducting order parameters and the impurity scattering is treated within the standard theory. We find the quasiparticle density of states and thermodynamics are very sensitive to the impurity scattering. The impurity scattering dependence of the superconducting transition temperature and the order parameter at T=0 are very similar to those in d-wave superconductors. Some of these characteristics will provide a sensitive test of the symmetry of the underlying order parameters.

cond-mat.supr-con↗
arXiv2005

Anisotropic superconductivity in PrOs4Sb12

Recently the superconducting gap functions of the skutterudite PrOs$_4$Sb$_{12}$ have been proposed [K. Maki et al, Europhys. Lett. {\bf 68}, 720 (2004)]. The superconductivity is spin-triplet and consists of at least 2 distinct phases in a magnetic field, which bears some resemblance to superfluid $ ^{3}$He. Here we present our analysis of the thermodynamic properties of these two superconducting states within the weak-coupling BCS theory. The superfluid density of the B phase is compared with recent experimental data.

cond-mat.supr-con↗
arXiv2004

High-Tc Cuprate Superconductivity in a Nutshell

Since the discovery of high-Tc cuprate superconductivity in 1986 many new experimental techniques and theoretical concepts have been developed. In particular it was shown that the BCS theory of d-wave superconductivity describes semi-quantitatively the high-Tc superconductivity. Furthermore, it was demonstrated that Volovik's approach is extremely useful for finding the quasiparticle properties in the vortex state. Here we survey these developments and forecast future directions.

cond-mat.supr-con↗
arXiv2004

Perspectives on Nodal Superconductors

In the last few years the gap symmetries of many new superconductors,including Sr$_2$RuO$_4$, CeCoIn$_5$, $κ$-(ET)$_{2}$Cu(NCS)$_{2}$, YNi$_{2}$B$_{2}$C and PrOs$_{4}$Sb$_{12}$, have been identified via angle-dependent magnetothermal conductivity measurements. However, a controversy still persists as to the nature of the superconductivity in Sr$_2$RuO$_4$. For PrOs$_{4}$Sb$_{12}$, spin-triplet superconductivity has recently been proposed. Here, we also propose g-wave superconductivity for UPd$_2$Al$_3$ (i.e., $Δ({\bf k})=Δ\cos(2χ), χ= ck_{z}$) based on recent thermal conductivity data.

cond-mat.supr-con↗
arXiv2004

Triplet superconductivity in the skutterudite PrOs_4Sb_12

There is mounting evidence for triplet superconductivity in the recently discovered skutterudite compound PrOs_4Sb_12. In this work, we propose nodal order parameters for the A- and B-phases of this superconductor which are consistent with angle dependent magnetothermal conductivity measurements and with low-temperature thermal conductivity data in the range T > 150 mK. The quasiparticle density of states and the thermal conductivity kappa_zz are derived within the quasiclassical approximation.

cond-mat.supr-con↗