1,597 research outputs found
Dynamical correlation functions and the related physical effects in three-dimensional Weyl/Dirac semimetals
We present a unified derivation of the dynamical correlation functions
including density-density, density-current and current-current, of
three-dimensional Weyl/Dirac semimetals by use of the Passarino-Veltman
reduction scheme at zero temperature. The generalized Kramers-Kronig relations
with arbitrary order of subtraction are established to verify these correlation
functions. Our results lead to the exact chiral magnetic conductivity and
directly recover the previous ones in several limits. We also investigate the
magnetic susceptibilities, the orbital magnetization and briefly discuss the
impact of electron interactions on these physical quantities within the random
phase approximation. Our work could provide a starting point for the
investigation of the nonlocal transport and optical properties due to the
higher-order spatial dispersion in three-dimensional Weyl/Dirac semimetals.Comment: 21 pages, 3+1 figures, 1 table. Accepted in PR
Robust estimates in generalized partially linear models
In this paper, we introduce a family of robust estimates for the parametric
and nonparametric components under a generalized partially linear model, where
the data are modeled by with
\mu_i=H(\eta(t_i)+\mathbf{x}_i^{\mathrm{T}}\beta), for some known
distribution function F and link function H. It is shown that the estimates of
are root-n consistent and asymptotically normal. Through a Monte Carlo
study, the performance of these estimators is compared with that of the
classical ones.Comment: Published at http://dx.doi.org/10.1214/009053606000000858 in the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Quantile regression in partially linear varying coefficient models
Semiparametric models are often considered for analyzing longitudinal data
for a good balance between flexibility and parsimony. In this paper, we study a
class of marginal partially linear quantile models with possibly varying
coefficients. The functional coefficients are estimated by basis function
approximations. The estimation procedure is easy to implement, and it requires
no specification of the error distributions. The asymptotic properties of the
proposed estimators are established for the varying coefficients as well as for
the constant coefficients. We develop rank score tests for hypotheses on the
coefficients, including the hypotheses on the constancy of a subset of the
varying coefficients. Hypothesis testing of this type is theoretically
challenging, as the dimensions of the parameter spaces under both the null and
the alternative hypotheses are growing with the sample size. We assess the
finite sample performance of the proposed method by Monte Carlo simulation
studies, and demonstrate its value by the analysis of an AIDS data set, where
the modeling of quantiles provides more comprehensive information than the
usual least squares approach.Comment: Published in at http://dx.doi.org/10.1214/09-AOS695 the Annals of
Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical
Statistics (http://www.imstat.org
Topological responses from chiral anomaly in multi-Weyl semimetals
Multi-Weyl semimetals are a kind of topological phase of matter with discrete
Weyl nodes characterized by multiple monopole charges, in which the chiral
anomaly, the anomalous nonconservation of an axial current, occurs in the
presence of electric and magnetic fields. Electronic transport properties
related to the chiral anomaly in the presence of both electromagnetic fields
and axial electromagnetic fields in multi-Weyl semimetals are systematically
studied. It has been found that the anomalous Hall conductivity has a
modification linear in the axial vector potential from inhomogeneous strains.
The axial electric field leads to an axial Hall current that is proportional to
the distance of Weyl nodes in momentum space. This axial current may generate
chirality accumulation of Weyl fermions through delicately engineering the
axial electromagnetic fields even in the absence of external electromagnetic
fields. Therefore, this work provides a nonmagnetic mechanism of generation of
chirality accumulation in Weyl semimetals and might shed new light on the
application of Weyl semimetals in the emerging field of valleytronics.Comment: 13 pages, 2 tables, 2 figures, accepted by Physical Review
RKKY interaction in three-dimensional electron gases with linear spin-orbit coupling
We theoretically study the impacts of linear spin-orbit coupling (SOC) on the
Ruderman-Kittel-Kasuya-Yosida interaction between magnetic impurities in two
kinds of three-dimensional noncentrosymmetric systems. It has been found that
linear SOCs lead to the Dzyaloshinskii-Moriya interaction and the Ising
interaction, in addition to the conventional Heisenberg interaction. These
interactions possess distinct range functions from three dimensional electron
gases and Dirac/Weyl semimetals. In the weak SOC limit, the Heisenberg
interaction dominates over the other two interactions in a moderately large
region of parameters. Sufficiently strong Rashba SOC makes the
Dzyaloshinskii-Moriya interaction or the Ising interaction dominate over the
Heisenberg interaction in some regions. The change in topology of the Fermi
surface leads to some quantitative changes in periods of oscillations of range
functions. The anisotropy of Ruderman-Kittel-Kasuya-Yosida interaction in
bismuth tellurohalides family BiTe ( = Br, Cl, and I) originates from
both the specific form of Rashba SOC and the anisotropic effective mass. Our
work provides some insights into understanding observed spin textures and the
application of these materials in spintronics.Comment: 11 pages, 4 figures, Final Version in PR
Approximations and Bounds for (n, k) Fork-Join Queues: A Linear Transformation Approach
Compared to basic fork-join queues, a job in (n, k) fork-join queues only
needs its k out of all n sub-tasks to be finished. Since (n, k) fork-join
queues are prevalent in popular distributed systems, erasure coding based cloud
storages, and modern network protocols like multipath routing, estimating the
sojourn time of such queues is thus critical for the performance measurement
and resource plan of computer clusters. However, the estimating keeps to be a
well-known open challenge for years, and only rough bounds for a limited range
of load factors have been given. In this paper, we developed a closed-form
linear transformation technique for jointly-identical random variables: An
order statistic can be represented by a linear combination of maxima. This
brand-new technique is then used to transform the sojourn time of non-purging
(n, k) fork-join queues into a linear combination of the sojourn times of basic
(k, k), (k+1, k+1), ..., (n, n) fork-join queues. Consequently, existing
approximations for basic fork-join queues can be bridged to the approximations
for non-purging (n, k) fork-join queues. The uncovered approximations are then
used to improve the upper bounds for purging (n, k) fork-join queues.
Simulation experiments show that this linear transformation approach is
practiced well for moderate n and relatively large k.Comment: 10 page
- …