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physica status solidi (b)

Cover Picture: Phys. Status Solidi B 246/5

Published Apr 21, 2009• 0 citations
Publisher

Abstract

Abstract The illustration on the front cover refers to an Editor's Choice article by Michael Dzierzawa et al. (pp. 941–947 in this issue) which was presented at the International Conference on Theoretical Physics: Coherence and Correlations in Nanosystems. The paper investigates the frequency‐dependent response of a one‐dimensional fermion system with nearest‐neighbor interaction. Luttinger liquid behavior in the long‐wavelength limit has been shown employing a combination of current density functional theory with Bethe ansatz results for the ground state energy. The picture shows a contour plot of the imaginary part of the dynamical susceptibility (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

DOI
10.1002/pssb.200990003

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Abstract The frequency‐dependent response of a one‐dimensional fermion system is investigated using Current Density Functional Theory (CDFT) within the local approximation (LDA). DFT‐LDA, and in particular CDFT‐LDA, reproduces very well the dispersion of the collective excitations. Unsurprisingly, however, the approximation fails for details of the dynamic response for large wavevectors. In particular, we introduce CDFT for the one‐dimensional spinless fermion model with nearest‐neighbor interaction, and use CDFT‐LDA plus exact (Bethe ansatz) results for the groundstate energy as function of particle density and boundary phase to determine the linear response. The successes and failures of this approach are discussed in detail (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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physica status solidi (b)•Nov 1, 2006•1 citation

Publisher's Note: Nonequilibrium kinetics of a disordered Luttinger liquid [Phys. Rev. B80, 113403 (2009)]

Д. А. Багрец, I. V. Gornyi, Dmitry G. Polyakov

Received 23 September 2009DOI:https://doi.org/10.1103/PhysRevB.80.119904©2009 American Physical Society

Physical Review B•Sep 29, 2009•0 citations
Abstract The illustration on the front cover refers to an Editor's Choice article by Michael Dzierzawa et al. (pp. 941–947 in this issue) which was presented at the International Conference on Theoretical Physics: Coherence and Correlations in Nanosystems. The paper investigates the frequency‐dependent response of a one‐dimensional fermion system with nearest‐neighbor interaction. Luttinger liquid behavior in the long‐wavelength limit has been shown employing a combination of current density functional theory with Bethe ansatz results for the ground state energy. The picture shows a contour plot of the imaginary part of the dynamical susceptibility (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Abstract The frequency‐dependent response of a one‐dimensional fermion system is investigated using Current Density Functional Theory (CDFT) within the local approximation (LDA). DFT‐LDA, and in particular CDFT‐LDA, reproduces very well the dispersion of the collective excitations. Unsurprisingly, however, the approximation fails for details of the dynamic response for large wavevectors. In particular, we introduce CDFT for the one‐dimensional spinless fermion model with nearest‐neighbor interaction, and use CDFT‐LDA plus exact (Bethe ansatz) results for the groundstate energy as function of particle density and boundary phase to determine the linear response. The successes and failures of this approach are discussed in detail (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
We study one-dimensional spinless fermions at zero and finite temperature TTT using the density-matrix renormalization group. We consider nearest- as well as next-nearest-neighbor interactions; the latter render the system inaccessible by a Bethe ansatz treatment. Using an infinite-system algorithm we demonstrate the emergence of Luttinger liquid physics at low energies for a variety of static correlation functions as well as for thermodynamic properties. The characteristic power-law suppression of the momentum distribution n(k)n(k)n(k) function at T=0T=0T=0 can be directly observed over several orders of magnitude. At finite temperature, we show that n(k)n(k)n(k) obeys a scaling relation. The Luttinger liquid parameter and the renormalized Fermi velocity can be extracted from the density response function, the specific heat, or the susceptibility without the need to carry out any finite-size analysis. We illustrate that the energy scale below which Luttinger liquid power laws manifest vanishes as the half-filled system is driven into a gapped phase by large interactions.
One parametric one-dimensional spinless fermion model is formulated and solved exactly by the Bethe ansatz method. The Hamiltonian contains the kinetic terms describing nearest-neighbor hopping of electrons with different hopping integrals for many-particle configurations. The Luttinger liquid behavior is studied for the case repulsion effective interaction. The ground-state energy, the critical exponent, describing the asymptotic behavior of the density-density correlation function at long distances, the Fermi velocity have been calculated numerically for an arbitrary density of electrons. The model displays the condensation of particles in the case of the attractive interaction.
Abstract The special issue entitled “Frontiers in Semiconductor Nanoscience” with a total of more than forty contributions from leading scientists in semiconductor and nanostructure physics has been prepared to honor Gerhard Abstreiter, Technische Universität München. The present Part B contains Feature Articles and Original Papers in the areas of quantum transport, optical properties and coherent phenomena. Part A of the special issue on nano‐biological systems, novel materials and nanostructures is published in phys. stat. sol. (a) 203, No. 14 (2006). The cover picture has been taken from the Feature Article [1] by Maurice Skolnick et al. It illustrates a calculation of the signal distribution and photonic potential (white contours) in a microcavity optical parametric oscillator with evidence for strong localisation in the potential minima. This issue also contains articles presented at the 7th International Conference on Excitonic Processes in Condensed Matter held in Winston‐Salem, USA, 26–30 June 2006. They include the Editor's Choice “Optical manipulation of CuCl nanoparticles under an excitonic resonance condition in superfluid helium” by K. Inaba et al. The first author received one of the two EXCON Prizes sponsored by Wiley‐VCH. More contributions from EXCON'06 can be found in phys. stat. sol. (c) 3, No. 10 (2006). (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)