558 research outputs found
Thermoelectricity of EuCu{2}(Ge{1-x}Si{x}){2} intermetallics
The evolution of the thermopower EuCu{2}(Ge{1-x}Si{x}){2} intermetallics,
which is induced by the Si-Ge substitution, is explained by the Kondo
scattering of conduction electrons on the Eu ions which fluctuate between the
magnetic 2+ and non-magnetic 3+ Hund's rule configurations. The Si-Ge
substitution is equivalent to chemical pressure which modifies the coupling and
the relative occupation of the {\it f} and conduction states.Comment: 2 pages, Proceedings of the SCES 2005 confernece. Physica B (2006),
in pres
Dependence of transport coefficients of Yb(RhCo)Si intermetallics on temperature and cobalt concentration
Dependence of transport coefficients of the Yb(RhCo)Si
series of alloys on temperature and cobalt concentration is explained by an
asymmetric Anderson model which takes into account the exchange scattering of
conduction electrons on ytterbium ions and the splitting of 4-states by the
crystalline electric field (CEF). The substitution of rhodium by cobalt is
described as an increase of chemical pressure which reduces the exchange
coupling and the CEF splitting. The scaling analysis and numerical NCA solution
of the model show that the effective degeneracy of the 4-state at a given
temperature depends on the relative magnitude of the Kondo scale and the CEF
splitting. Thus, we find that dependence of the thermopower, , on
temperature and cobalt concentration can be understood as an interplay of
quantum fluctuations, driven by the Kondo effect, and thermal fluctuations,
which favor a uniform occupation of the CEF states. The theoretical model
captures all the qualitative features of the experimental data and it explains
the evolution of the shape of with the increase of cobalt concentration.Comment: 8 pages, 4 figure
Hartree-Fock study of electronic ferroelectricity in the Falicov-Kimball model with - hopping
The Hartree-Fock (HF) approximation with the charge-density-wave (CDW)
instability is used to study the ground-state phase diagram of the spinless
Falicov-Kimball model (FKM) extended by - hopping in two and three
dimensions. It is shown that the HF solutions with the CDW instability
reproduce perfectly the two-dimensional intermediate coupling phase diagram of
the FKM model with - hopping calculated recently by constrained path
Monte Carlo (CPMC) method. Using this fact we have extended our HF study on
cases that have been not described by CPMC, and namely, (i) the case of small
values of -electron hopping integrals, (ii) the case of weak Coulomb
interactions and (iii) the three-dimensional case. We have found that
ferroelectricity remains robust with respect to the reducing strength of
coupling (-electron hopping) as well as with respect to the increasing
dimension of the system.Comment: 13 pages, 5 figure
Topologically biased random walk with application for community finding in networks
We present a new approach of topology biased random walks for undirected
networks. We focus on a one parameter family of biases and by using a formal
analogy with perturbation theory in quantum mechanics we investigate the
features of biased random walks. This analogy is extended through the use of
parametric equations of motion (PEM) to study the features of random walks {\em
vs.} parameter values. Furthermore, we show an analysis of the spectral gap
maximum associated to the value of the second eigenvalue of the transition
matrix related to the relaxation rate to the stationary state. Applications of
these studies allow {\em ad hoc} algorithms for the exploration of complex
networks and their communities.Comment: 8 pages, 7 figure
Optimal redundancy against disjoint vulnerabilities in networks
Redundancy is commonly used to guarantee continued functionality in networked
systems. However, often many nodes are vulnerable to the same failure or
adversary. A "backup" path is not sufficient if both paths depend on nodes
which share a vulnerability.For example, if two nodes of the Internet cannot be
connected without using routers belonging to a given untrusted entity, then all
of their communication-regardless of the specific paths utilized-will be
intercepted by the controlling entity.In this and many other cases, the
vulnerabilities affecting the network are disjoint: each node has exactly one
vulnerability but the same vulnerability can affect many nodes. To discover
optimal redundancy in this scenario, we describe each vulnerability as a color
and develop a "color-avoiding percolation" which uncovers a hidden
color-avoiding connectivity. We present algorithms for color-avoiding
percolation of general networks and an analytic theory for random graphs with
uniformly distributed colors including critical phenomena. We demonstrate our
theory by uncovering the hidden color-avoiding connectivity of the Internet. We
find that less well-connected countries are more likely able to communicate
securely through optimally redundant paths than highly connected countries like
the US. Our results reveal a new layer of hidden structure in complex systems
and can enhance security and robustness through optimal redundancy in a wide
range of systems including biological, economic and communications networks.Comment: 15 page
Phase Separation and Charge-Ordered Phases of the d = 3 Falicov-Kimball Model at T>0: Temperature-Density-Chemical Potential Global Phase Diagram from Renormalization-Group Theory
The global phase diagram of the spinless Falicov-Kimball model in d = 3
spatial dimensions is obtained by renormalization-group theory. This global
phase diagram exhibits five distinct phases. Four of these phases are
charge-ordered (CO) phases, in which the system forms two sublattices with
different electron densities. The CO phases occur at and near half filling of
the conduction electrons for the entire range of localized electron densities.
The phase boundaries are second order, except for the intermediate and large
interaction regimes, where a first-order phase boundary occurs in the central
region of the phase diagram, resulting in phase coexistence at and near half
filling of both localized and conduction electrons. These two-phase or
three-phase coexistence regions are between different charge-ordered phases,
between charge-ordered and disordered phases, and between dense and dilute
disordered phases. The second-order phase boundaries terminate on the
first-order phase transitions via critical endpoints and double critical
endpoints. The first-order phase boundary is delimited by critical points. The
cross-sections of the global phase diagram with respect to the chemical
potentials and densities of the localized and conduction electrons, at all
representative interactions strengths, hopping strengths, and temperatures, are
calculated and exhibit ten distinct topologies.Comment: Calculated density phase diagrams. Added discussions and references.
14 pages, 9 figures, 4 table
F-electron spectral function of the Falicov-Kimball model in infinite dimensions: the half-filled case
The f-electron spectral function of the Falicov-Kimball model is calculated
via a Keldysh-based many-body formalism originally developed by Brandt and
Urbanek. We provide results for both the Bethe lattice and the hypercubic
lattice at half filling. Since the numerical computations are quite sensitive
to the discretization along the Kadanoff-Baym contour and to the maximum cutoff
in time that is employed, we analyze the accuracy of the results using a
variety of different moment sum-rules and spectral formulas. We find that the
f-electron spectral function has interesting temperature dependence becoming a
narrow single-peaked function for small U and developing a gap, with two
broader peaks for large U.Comment: (13 pages, 11 figures, typeset in RevTex 4
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