Positron Kinetics in Soft Condensed Matter

White, R. D.; Robson, Robert

doi:10.1103/physrevlett.102.230602

Cited by 122 publications

(200 citation statements)

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“…To be precise, these coefficients are chosen according to a Gaussian distribution with zero mean. Thus, the pure state |ψ is chosen according to the unitary invariant Haar measure [68,69] and, according to typicality [70][71][72][73][74][75], a representative of the statistical ensemble. The pure state |ψ , and each |ψ N , correspond to the limit of high temperatures β → 0.…”

Section: Dynamical Quantum Typicality a Conceptmentioning

confidence: 99%

Finite-temperature charge transport in the one-dimensional Hubbard model

et al. 2015

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We study the charge conductivity of the one-dimensional repulsive Hubbard model at finite temperature using the method of dynamical quantum typicality, focusing at half filling. This numerical approach allows us to obtain current autocorrelation functions from systems with as many as 18 sites, way beyond the range of standard exact diagonalization. Our data clearly suggest that the charge Drude weight vanishes with a power law as a function of system size. The low-frequency dependence of the conductivity is consistent with a finite dc value and thus with diffusion, despite large finite-size effects. Furthermore, we consider the mass-imbalanced Hubbard model for which the charge Drude weight decays exponentially with system size, as expected for a non-integrable model. We analyze the conductivity and diffusion constant as a function of the mass imbalance and we observe that the conductivity of the lighter component decreases exponentially fast with the mass-imbalance ratio. While in the extreme limit of immobile heavy particles, the Falicov-Kimball model, there is an effective Anderson-localization mechanism leading to a vanishing conductivity of the lighter species, we resolve finite conductivities for an inverse mass ratio of η 0.3.

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Section: Dynamical Quantum Typicality a Conceptmentioning

confidence: 99%

Finite-temperature charge transport in the one-dimensional Hubbard model

et al. 2015

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“…Recently, a procedure was outlined to adapt gas-phase data in the study of soft-condensed matter appropriate for dealing with biological matter. 9,10 At present, however, current simulations implement approximate and/or effective cross sections and assume a gas phase environment. 3,5,6 Quite recently a survey of electron scattering cross sections in water vapour was conducted, 11 and a complete set a) Author to whom correspondence should be addressed.…”

Section: Introductionmentioning

confidence: 99%

Transport coefficients and cross sections for electrons in water vapour: Comparison of cross section sets using an improved Boltzmann equation solution

Ness

Robson

Brunger

et al. 2012

The Journal of Chemical Physics

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This paper revisits the issues surrounding computation of electron transport properties in water vapour as a function of E/n0 (the ratio of the applied electric field to the water vapour number density) up to 1200 Td. We solve the Boltzmann equation using an improved version of the code of Ness and Robson [Phys. Rev. A 38, 1446 (1988)], facilitating the calculation of transport coefficients to a considerably higher degree of accuracy. This allows a correspondingly more discriminating test of the various electron–water vapour cross section sets proposed by a number of authors, which has become an important issue as such sets are now being applied to study electron driven processes in atmospheric phenomena [P. Thorn, L. Campbell, and M. Brunger, PMC Physics B 2, 1 (2009)] and in modeling charged particle tracks in matter [A. Munoz, F. Blanco, G. Garcia, P. A. Thorn, M. J. Brunger, J. P. Sullivan, and S. J. Buckman, Int. J. Mass Spectrom. 277, 175 (2008)].

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“…7,8 Note further that the utility of employing gas-phase collision data to model behaviour in condensed matter has been recently demonstrated by White and Robson. 9 With the paucity of available experimental and theoretical data for scattering processes from large biomolecules, gas-phase measurements will provide an ideal testing ground for the further development and assessment of theoretical scattering models.…”

Section: Introductionmentioning

confidence: 99%

Differential cross sections for the electron impact excitation of pyrimidine

Jones

Bellm

Blanco

et al. 2012

The Journal of Chemical Physics

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We report on differential cross section (DCS) measurements for the electron-impact excitation of the electronic states of pyrimidine. The energy range of the present measurements was 15-50 eV with the angular range of the measurements being 10 • -90 • . All measured DCSs displayed forward-peaked angular distributions, consistent with the relatively large magnitudes for the dipole moment and dipole polarizability of pyrimidine. Excitations to triplet states were found to be particularly important in some energy loss features at the lower incident electron energies. To the best of our knowledge there are no other experimental data or theoretical computations against which we can compare the present results.

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Positron Kinetics in Soft Condensed Matter

Cited by 122 publications

References 19 publications

Finite-temperature charge transport in the one-dimensional Hubbard model

Finite-temperature charge transport in the one-dimensional Hubbard model

Transport coefficients and cross sections for electrons in water vapour: Comparison of cross section sets using an improved Boltzmann equation solution

Differential cross sections for the electron impact excitation of pyrimidine

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