The Experts below are selected from a list of 258 Experts worldwide ranked by ideXlab platform
Ina Yeo - One of the best experts on this subject based on the ideXlab platform.
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Symmetry Relations for spin-resolved exchange corRelation kernels in soft magnetic layered systems
arXiv: Strongly Correlated Electrons, 2006Co-Authors: Ina YeoAbstract:We first exploit the physical condition satisfying the Symmetry Relation of the ``exact'' spin-resolved exchange corRelation kernel based on the ``mixed scheme'' in soft magnetic layered systems. The conditions are derived and examined by taking into account the field gradients of the magnetic moment as well as that of the electric moment. We also exploit the physical condition by means of deviation distribution function suitable for complex electronic structures with arbitrary $\zeta$
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Physical condition for the spin-resolved exchange corRelation kernel for an inhomogeneous many-electron system
Physical Review B, 2006Co-Authors: Ina YeoAbstract:We first exploit the spin Symmetry Relation ${f}_{s\overline{s}}^{\mathrm{xc}}(\ensuremath{\zeta})={f}_{\overline{s}s}^{\mathrm{xc}}(\ensuremath{-}\ensuremath{\zeta})$ for the exact exchange corRelation kernel ${f}_{s\overline{s}}^{\mathrm{xc}}(\ensuremath{\zeta})$ in an inhomogeneous many-electron system with arbitrary spin polarization $\ensuremath{\zeta}$. The physical condition required to satisfy the specific Symmetry Relation ${f}_{s\overline{s}}^{\mathrm{xc}}(\ensuremath{\zeta})={f}_{\overline{s}s}^{\mathrm{xc}}(\ensuremath{\zeta})$ is derived and examined for simple ferromagnetic-nonmagnetic structure by taking the electrochemical potential into account. The condition is then applied to several composite systems useful in spintronics applications such as the magnetic system with net spin polarization.
Rudolf A. Römer - One of the best experts on this subject based on the ideXlab platform.
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Multifractal analysis with the probability density function at the three-dimensional anderson transition.
Physical review letters, 2009Co-Authors: Alberto Rodriguez, Louella J. Vasquez, Rudolf A. RömerAbstract:The probability density function (PDF) for critical wave function amplitudes is studied in the three-dimensional Anderson model. We present a formal expression between the PDF and the multifractal spectrum f(alpha) in which the role of finite-size corrections is properly analyzed. We show the non-Gaussian nature and the existence of a Symmetry Relation in the PDF. From the PDF, we extract information about f(alpha) at criticality such as the presence of negative fractal dimensions and the possible existence of termination points. A PDF-based multifractal analysis is shown to be a valid alternative to the standard approach based on the scaling of inverse participation ratios.
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Multifractal analysis of the metal-insulator transition in the three-dimensional Anderson model. I. Symmetry Relation under typical averaging
Physical Review B, 2008Co-Authors: Louella J. Vasquez, Alberto Rodriguez, Rudolf A. RömerAbstract:The multifractality of the critical eigenstate at the metal to insulator transition (MIT) in the three-dimensional Anderson model of localization is characterized by its associated singularity spectrum $f(\ensuremath{\alpha})$. Recent works in one-dimensional and two-dimensional critical systems have suggested an exact-Symmetry Relation in $f(\ensuremath{\alpha})$. Here we show the validity of the Symmetry at the Anderson MIT with high numerical accuracy and for very large system sizes. We discuss the necessary statistical analysis that supports this conclusion. We have obtained the $f(\ensuremath{\alpha})$ from the box-size and system-size scalings of the typical average of the generalized inverse participation ratios. We show that the best Symmetry in $f(\ensuremath{\alpha})$ for typical averaging is achieved by system-size scaling, following a strategy that emphasizes using larger system sizes even if this necessitates fewer disorder realizations.
Alberto Rodriguez - One of the best experts on this subject based on the ideXlab platform.
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Multifractal analysis with the probability density function at the three-dimensional anderson transition.
Physical review letters, 2009Co-Authors: Alberto Rodriguez, Louella J. Vasquez, Rudolf A. RömerAbstract:The probability density function (PDF) for critical wave function amplitudes is studied in the three-dimensional Anderson model. We present a formal expression between the PDF and the multifractal spectrum f(alpha) in which the role of finite-size corrections is properly analyzed. We show the non-Gaussian nature and the existence of a Symmetry Relation in the PDF. From the PDF, we extract information about f(alpha) at criticality such as the presence of negative fractal dimensions and the possible existence of termination points. A PDF-based multifractal analysis is shown to be a valid alternative to the standard approach based on the scaling of inverse participation ratios.
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Multifractal analysis of the metal-insulator transition in the three-dimensional Anderson model. I. Symmetry Relation under typical averaging
Physical Review B, 2008Co-Authors: Louella J. Vasquez, Alberto Rodriguez, Rudolf A. RömerAbstract:The multifractality of the critical eigenstate at the metal to insulator transition (MIT) in the three-dimensional Anderson model of localization is characterized by its associated singularity spectrum $f(\ensuremath{\alpha})$. Recent works in one-dimensional and two-dimensional critical systems have suggested an exact-Symmetry Relation in $f(\ensuremath{\alpha})$. Here we show the validity of the Symmetry at the Anderson MIT with high numerical accuracy and for very large system sizes. We discuss the necessary statistical analysis that supports this conclusion. We have obtained the $f(\ensuremath{\alpha})$ from the box-size and system-size scalings of the typical average of the generalized inverse participation ratios. We show that the best Symmetry in $f(\ensuremath{\alpha})$ for typical averaging is achieved by system-size scaling, following a strategy that emphasizes using larger system sizes even if this necessitates fewer disorder realizations.
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Multifractal analysis of the metal-insulator transition in the 3D Anderson model II: Symmetry Relation under ensemble averaging
Physical Review B, 2008Co-Authors: Alberto Rodriguez, Louella J. Vasquez, Rudolf A. RoemerAbstract:We study the multifractal analysis (MFA) of electronic wavefunctions at the localisation-delocalisation transition in the 3D Anderson model for very large system sizes up to $240^3$. The singularity spectrum $f(\alpha)$ is numerically obtained using the \textsl{ensemble average} of the scaling law for the generalized inverse participation ratios $P_q$, employing box-size and system-size scaling. The validity of a recently reported Symmetry law [Phys. Rev. Lett. 97, 046803 (2006)] for the multifractal spectrum is carefully analysed at the metal-insulator transition (MIT). The results are compared to those obtained using different approaches, in particular the typical average of the scaling law. System-size scaling with ensemble average appears as the most adequate method to carry out the numerical MFA. Some conjectures about the true shape of $f(\alpha)$ in the thermodynamic limit are also made.
Louella J. Vasquez - One of the best experts on this subject based on the ideXlab platform.
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Multifractal analysis with the probability density function at the three-dimensional anderson transition.
Physical review letters, 2009Co-Authors: Alberto Rodriguez, Louella J. Vasquez, Rudolf A. RömerAbstract:The probability density function (PDF) for critical wave function amplitudes is studied in the three-dimensional Anderson model. We present a formal expression between the PDF and the multifractal spectrum f(alpha) in which the role of finite-size corrections is properly analyzed. We show the non-Gaussian nature and the existence of a Symmetry Relation in the PDF. From the PDF, we extract information about f(alpha) at criticality such as the presence of negative fractal dimensions and the possible existence of termination points. A PDF-based multifractal analysis is shown to be a valid alternative to the standard approach based on the scaling of inverse participation ratios.
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Multifractal analysis of the metal-insulator transition in the three-dimensional Anderson model. I. Symmetry Relation under typical averaging
Physical Review B, 2008Co-Authors: Louella J. Vasquez, Alberto Rodriguez, Rudolf A. RömerAbstract:The multifractality of the critical eigenstate at the metal to insulator transition (MIT) in the three-dimensional Anderson model of localization is characterized by its associated singularity spectrum $f(\ensuremath{\alpha})$. Recent works in one-dimensional and two-dimensional critical systems have suggested an exact-Symmetry Relation in $f(\ensuremath{\alpha})$. Here we show the validity of the Symmetry at the Anderson MIT with high numerical accuracy and for very large system sizes. We discuss the necessary statistical analysis that supports this conclusion. We have obtained the $f(\ensuremath{\alpha})$ from the box-size and system-size scalings of the typical average of the generalized inverse participation ratios. We show that the best Symmetry in $f(\ensuremath{\alpha})$ for typical averaging is achieved by system-size scaling, following a strategy that emphasizes using larger system sizes even if this necessitates fewer disorder realizations.
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Multifractal analysis of the metal-insulator transition in the 3D Anderson model II: Symmetry Relation under ensemble averaging
Physical Review B, 2008Co-Authors: Alberto Rodriguez, Louella J. Vasquez, Rudolf A. RoemerAbstract:We study the multifractal analysis (MFA) of electronic wavefunctions at the localisation-delocalisation transition in the 3D Anderson model for very large system sizes up to $240^3$. The singularity spectrum $f(\alpha)$ is numerically obtained using the \textsl{ensemble average} of the scaling law for the generalized inverse participation ratios $P_q$, employing box-size and system-size scaling. The validity of a recently reported Symmetry law [Phys. Rev. Lett. 97, 046803 (2006)] for the multifractal spectrum is carefully analysed at the metal-insulator transition (MIT). The results are compared to those obtained using different approaches, in particular the typical average of the scaling law. System-size scaling with ensemble average appears as the most adequate method to carry out the numerical MFA. Some conjectures about the true shape of $f(\alpha)$ in the thermodynamic limit are also made.
Pierre Gaspard - One of the best experts on this subject based on the ideXlab platform.
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Time-reversal Symmetry Relation for nonequilibrium flows ruled by the fluctuating Boltzmann equation
Physica A: Statistical Mechanics and its Applications, 2013Co-Authors: Pierre GaspardAbstract:Abstract A time-reversal Symmetry Relation is established for out-of-equilibrium dilute or rarefied gases described by the fluctuating Boltzmann equation. The Relation is obtained from the associated coarse-grained master equation ruling the random numbers of particles in cells of given position and velocity in the one-particle phase space. The Symmetry Relation concerns the fluctuating particle and energy currents of the gas flowing between reservoirs or thermalizing surfaces at given particle densities or temperatures.
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Fluctuation theorem for currents in open quantum systems
New Journal of Physics, 2009Co-Authors: David Andrieux, Pierre Gaspard, Takaaki Monnai, Shuichi TasakiAbstract:A quantum-mechanical framework is set up to describe the full counting statistics of particles flowing between reservoirs in an open system under time-dependent driving. A Symmetry Relation is obtained which is the consequence of microreversibility for the probability of the nonequilibrium work and the transfer of particles and energy between the reservoirs. In some appropriate long-time limit, the Symmetry Relation leads to a steady-state quantum fluctuation theorem for the currents between the reservoirs. On this basis, Relationships are deduced which extend the Onsager-Casimir reciprocity Relations to the nonlinear response coefficients.
