10,765 research outputs found
Microscopic spectral density in random matrix models for chiral and diquark condensation
We examine random matrix models of QCD which are capable of supporting both
chiral and diquark condensation. A numerical study of the spectral densities
near zero virtuality shows that the introduction of color in the interactions
does not alter the one-body results imposed by chiral symmetry. A model with
three colors has the spectral density predicted for the chiral ensemble with a
Dyson index beta = 2; a pseudoreal model with two colors exhibits the spectral
density of the chiral ensemble with beta = 1.Comment: 6 pages, 3 eps figures, uses revtex4 and graphicx. v2 : minor
editions, Fig. 3 shows relative deviations rather than absolute. Version to
appear in PR
Random matrix model for antiferromagnetism and superconductivity on a two-dimensional lattice
We suggest a new mean field method for studying the thermodynamic competition
between magnetic and superconducting phases in a two-dimensional square
lattice. A partition function is constructed by writing microscopic
interactions that describe the exchange of density and spin-fluctuations. A
block structure dictated by spin, time-reversal, and bipartite symmetries is
imposed on the single-particle Hamiltonian. The detailed dynamics of the
interactions are neglected and replaced by a normal distribution of random
matrix elements. The resulting partition function can be calculated exactly.
The thermodynamic potential has a structure which depends only on the spectrum
of quasiparticles propagating in fixed condensation fields, with coupling
constants that can be related directly to the variances of the microscopic
processes. The resulting phase diagram reveals a fixed number of phase
topologies whose realizations depend on a single coupling-parameter ratio,
alpha. Most phase topologies are realized for a broad range of values of alpha
and can thus be considered robust with respect to moderate variations in the
detailed description of the underlying interactions.Comment: 21 pages, 8 figures, RevTex 4. Minor grammatical errors corrected in
the last versio
Random matrix models for chiral and diquark condensation
We consider random matrix models for the thermodynamic competition between
chiral symmetry breaking and diquark condensation in QCD at finite temperature
and finite baryon density. The models produce mean field phase diagrams whose
topology depends solely on the global symmetries of the theory. We discuss the
block structure of the interactions that is imposed by chiral, spin, and color
degrees of freedom and comment on the treatment of density and temperature
effects. Extension of the coupling parameters to a larger class of theories
allows us to investigate the robustness of the phase topology with respect to
variations in the dynamics of the interactions. We briefly study the phase
structure as a function of coupling parameters and the number of colors.Comment: 6 pages, 2 figures, proceedings of the workshop "Three Days of
Hadronic Physics", Joint Meeting Heidelberg-Liege-Paris-Rostock,
16/12/2004-18/12/2004, Sol Cress, Spa, Belgium. v2: typographical errors
corrected in reference
Single nanoparticle measurement techniques
Various single particle measuring techniques are briefly reviewed and the
basic concepts of a new micro-SQUID technique are discussed. It allows
measurements of the magnetization reversal of single nanometer-sized particles
at low temperature. The influence of the measuring technique on the system of
interest is discussed.Comment: 3 pages, 3 figures, conference proceedings of MMM 1999, San Jose,
15-18 Nov., session number BE-0
Formulas for Continued Fractions. An Automated Guess and Prove Approach
We describe a simple method that produces automatically closed forms for the
coefficients of continued fractions expansions of a large number of special
functions. The function is specified by a non-linear differential equation and
initial conditions. This is used to generate the first few coefficients and
from there a conjectured formula. This formula is then proved automatically
thanks to a linear recurrence satisfied by some remainder terms. Extensive
experiments show that this simple approach and its straightforward
generalization to difference and -difference equations capture a large part
of the formulas in the literature on continued fractions.Comment: Maple worksheet attache
Infinite Kinematic Self-Similarity and Perfect Fluid Spacetimes
Perfect fluid spacetimes admitting a kinematic self-similarity of infinite
type are investigated. In the case of plane, spherically or hyperbolically
symmetric space-times the field equations reduce to a system of autonomous
ordinary differential equations. The qualitative properties of solutions of
this system of equations, and in particular their asymptotic behavior, are
studied. Special cases, including some of the invariant sets and the geodesic
case, are examined in detail and the exact solutions are provided. The class of
solutions exhibiting physical self-similarity are found to play an important
role in describing the asymptotic behavior of the infinite kinematic
self-similar models.Comment: 38 pages, 6 figures. Accepted for publication in General Relativity &
Gravitatio
Direct observation of the quantum critical point in heavy fermion CeRhSi
We report on muon spin rotation studies of the noncentrosymmetric heavy
fermion antiferromagnet CeRhSi. A drastic and monotonic suppression of the
internal fields, at the lowest measured temperature, was observed upon an
increase of external pressure. Our data suggest that the ordered moments are
gradually quenched with increasing pressure, in a manner different from the
pressure dependence of the N\'eel temperature. At \unit{23.6}{kbar}, the
ordered magnetic moments are fully suppressed via a second-order phase
transition, and is zero. Thus, we directly observed the quantum
critical point at \unit{23.6}{kbar} hidden inside the superconducting phase
of CeRhSi
Universal Fluctuation of the Hall Conductance in the Random Magnetic Field
We show that the RMS fluctuation of the antisymmetric part of the Hall
conductance of a planar mesoscopic metal in a random magnetic field with zero
average is universal, of the order of , independent of the amplitude of
the random magnetic field and the diffusion coefficient even in the weak field
limit. This quantity is exactly zero in the case of ordinary scalar disorder.
We propose an experiment to measure this surprising effect, and also discuss
its implications on the localization physics of this system. Our result applies
to some other systems with broken time-reversal ({\bf T}) symmetry.Comment: 4 pages, Revtex 3.0; added the paragraph regarding applicability to
other systems with broken T-invariance, misc. minor change
Kondo engineering : from single Kondo impurity to the Kondo lattice
In the first step, experiments on a single cerium or ytterbium Kondo impurity
reveal the importance of the Kondo temperature by comparison to other type of
couplings like the hyperfine interaction, the crystal field and the intersite
coupling. The extension to a lattice is discussed. Emphasis is given on the
fact that the occupation number of the trivalent configuration may be the
implicit key variable even for the Kondo lattice. Three phase
diagrams are discussed: CeRuSi, CeRhIn and SmS
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