Foreword

Oliveira, S. Moss de

doi:10.1590/s0103-97332003000300019

Cited by 7 publications

(12 citation statements)

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“…effective dimensionality in terms of number of kept multiplets. The discrete spectral data is z-averaged [93,94] by averaging over n z equally spaced z-shifts, with z ∈ (0, 1], for the logarithmically discretized conduction band energies, Λ −n−z , with the discretization parameter Λ 2 and n being integers.…”

Section: Method Definitions and Conventionsmentioning

confidence: 99%

At which magnetic field, exactly, does the Kondo resonance begin to split? A Fermi liquid description of the low-energy properties of the Anderson model

et al. 2017

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This paper is a corrected version of Phys. Rev. B 95, 165404 (2017), which we have retracted because it contained a trivial but fatal sign error that lead to incorrect conclusions. -We extend a recently-developed Fermi-liquid (FL) theory for the asymmetric single-impurity Anderson model [C. Mora et al., Phys. Rev. B, 92, 075120 (2015)] to the case of an arbitrary local magnetic field. To describe the system's low-lying quasiparticle excitations for arbitrary values of the bare Hamiltonian's model parameters, we construct an effective low-energy FL Hamiltonian whose FL parameters are expressed in terms of the local level's spin-dependent ground-state occupations and their derivatives with respect to level energy and local magnetic field. These quantities are calculable with excellent accuracy from the Bethe Ansatz solution of the Anderson model. Applying this effective model to a quantum dot in a nonequilibrium setting, we obtain exact results for the curvature of the spectral function, cA, describing its leading ∼ ε 2 term, and the transport coefficients cV and cT , describing the leading ∼ V 2 and ∼ T 2 terms in the nonlinear differential conductance. A sign change in cA or cV is indicative of a change from a local maximum to a local minimum in the spectral function or nonlinear conductance, respectively, as is expected to occur when an increasing magnetic field causes the Kondo resonance to split into two subpeaks. We find that the fields BA, BT and BV at which cA, cT and cV change sign, respectively, are all of order TK , as expected, with BA = BT = BV = 0.75073TK in the Kondo limit.

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Section: Method Definitions and Conventionsmentioning

confidence: 99%

At which magnetic field, exactly, does the Kondo resonance begin to split? A Fermi liquid description of the low-energy properties of the Anderson model

et al. 2017

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“…written as a matrix product of the matrices A n in the first line. Equation (8), in the following referred to as backward update, introduces the notational shorthandP n for the bilinear product of the A-and A *tensor at site n, that acts as a linear superoperator on the density matrixρ n . The corresponding contraction pattern is shown in a simple graphical depiction in Fig.…”

Section: B Density Matricesmentioning

confidence: 99%

“…≡P n ρ 0,n in Eq. (8). Through this operation, the Schmidt rank will rise, in general, by a factor of d, with d the state space dimension of a Wilson site.…”

Section: A Construction Of Reduced Density Matricesmentioning

confidence: 99%

Discarded weight and entanglement spectra in the numerical renormalization group

Weichselbaum¹

2011

Phys. Rev. B

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A quantitative criterion to prove and analyze convergence within the numerical renormalization group (NRG) is introduced. By tracing out a few further NRG shells, the resulting reduced density matrices carry relevant information on numerical accuracy as well as entanglement. Their spectra can be analyzed twofold. The smallest eigenvalues provide a sensitive estimate of how much weight is discarded in the low energy description of latter iterations. As such, the discarded weight indicates in a site-specific manner whether sufficiently many states have been kept in a single NRG run. The largest eigenvalues of the reduced density matrices, on the other hand, lend themselves to a straightforward analysis in terms of entanglement spectra, which can be combined into entanglement flow diagrams. The latter show strong similarities with the well-known standard energy flow diagram of the NRG, supporting the prevalent usage of entanglement spectra to characterize different physical regimes.

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“…Surface energy measurements can give important information about the hydrophobic − hydrophilic balance of the copolymers. This balance plays an important role in understanding both their behaviour at the air − water interface and how they will behave on solid surfaces when they are used to construct LB films that may find application in several fields …”

Section: Resultsmentioning

confidence: 99%

“…Langmuir monolayers are highly ordered at the air − water interface as a result of pseudo‐bidimensional geometrical restrictions . The stability and morphology of the monolayer is paramount for obtaining homogeneous LB films with potential technological and biomedical applications as coaters, stabilisers and drug carriers …”

Section: Introductionmentioning

confidence: 99%

Amphiphilic 2-ethyl hexyl methacrylate-b-N ,N ′-dimethylacrylamide diblock copolymer monolayer behaviour at the air − water interface^†

et al. 2014

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The surface activities of two amphiphilic diblock copolymers containing 2-ethyl hexyl methacrylate-b-N,N ′ -dimethylacrylamide (EHMA-b-DMA) possessing hydrophobic segments of different chain lengths were studied. Toward this end, surface pressure−area ( −A) isotherms, static and dynamic elasticities and the exponent of the excluded volume of polymers forming monolayers at the air−water interface were measured. The degree of hydrophobicity of the diblock copolymers was estimated by determining their surface energy values from contact angle measurements. The morphology of the monolayer at different surface pressures was studied by Brewster angle microscopy. Both copolymers were observed to form stable and elastic monolayers, and their collapse was observed to occur at similar surface pressures. Langmuir−Blodgett films were successfully deposited onto mica and silicon wafers and analysed by atomic force microscopy.

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Foreword

Cited by 7 publications

References 0 publications

At which magnetic field, exactly, does the Kondo resonance begin to split? A Fermi liquid description of the low-energy properties of the Anderson model

At which magnetic field, exactly, does the Kondo resonance begin to split? A Fermi liquid description of the low-energy properties of the Anderson model

Discarded weight and entanglement spectra in the numerical renormalization group

Amphiphilic 2-ethyl hexyl methacrylate-b-N ,N ′-dimethylacrylamide diblock copolymer monolayer behaviour at the air − water interface^†

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Foreword

Cited by 7 publications

References 0 publications

At which magnetic field, exactly, does the Kondo resonance begin to split? A Fermi liquid description of the low-energy properties of the Anderson model

At which magnetic field, exactly, does the Kondo resonance begin to split? A Fermi liquid description of the low-energy properties of the Anderson model

Discarded weight and entanglement spectra in the numerical renormalization group

Amphiphilic 2-ethyl hexyl methacrylate-b-N ,N ′-dimethylacrylamide diblock copolymer monolayer behaviour at the air − water interface†

Contact Info

Product

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About

Amphiphilic 2-ethyl hexyl methacrylate-b-N ,N ′-dimethylacrylamide diblock copolymer monolayer behaviour at the air − water interface^†