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  • Electronic Resource  (4)
  • E-Resource
  • 2000-2004  (4)
  • 2004
  • 2003  (4)
  • PACS. 64.70.Pf Glass transitions – 78.35.+c Brillouin and Rayleigh scattering; other light scattering – 61.25.Em Molecular liquids  (2)
  • PACS. 71.10.-w Theories and models of many-electron systems – 73.21.La Quantum dots – 73.20.Qt Electron solids  (2)
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  • Electronic Resource  (4)
  • E-Resource
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  • 2000-2004  (4)
Year
  • 2004
  • 2003  (4)
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  • 1
    Electronic Resource
    Electronic Resource
    Light scattering by longitudinal acoustic modes in supercooled molecular liquids II: microscopic derivation of the phenomenological equations (2003)
    Springer
    The European physical journal 31 (2003), S. 229-246 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 64.70.Pf Glass transitions – 78.35.+c Brillouin and Rayleigh scattering; other light scattering – 61.25.Em Molecular liquids
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: The constitutive equations for the orientational dynamics of a liquid formed of linear molecules are derived microscopically. The resulting generalised Langevin equations coincide with the phenomenological approach of Dreyfus et al. [1]. Formally exact expressions are given for the phenomenological coefficients and various constraints are shown to be consequences of this microscopic approach.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2003-00027-5
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  • 2
    Electronic Resource
    Electronic Resource
    Light scattering by longitudinal acoustic modes in molecular supercooled liquids I: phenomenological approach (2003)
    Springer
    The European physical journal 31 (2003), S. 217-228 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 64.70.Pf Glass transitions – 78.35.+c Brillouin and Rayleigh scattering; other light scattering – 61.25.Em Molecular liquids
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We derive expressions for the intensity of the Brillouin polarized spectrum of a molecular liquid formed of axially symmetric molecules. These expressions take into account both the molecular dielectric anisotropy and the modulation of the local polarisability by density fluctuations. They also incorporate all the retardation effects which occur in such liquids. We show that the spectrum splits into a q-independent rotational contribution and q-dependent term, which reflects the propagation of longitudinal acoustic modes. In the latter, the two light scattering mechanisms enter on an equal footing and generate three scattering channels. We study the influence of the two new channels and show that they may substantially modify the Brillouin line-shape when the relaxation time of the supercooled liquid and the period of the acoustic excitation are of the same order of magnitude.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2003-00026-6
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Andreev-Lifshitz supersolid revisited for a few electrons on a square lattice. I (2003)
    Springer
    The European physical journal 31 (2003), S. 401-412 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 71.10.-w Theories and models of many-electron systems – 73.21.La Quantum dots – 73.20.Qt Electron solids
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: In 1969, Andreev and Lifshitz have conjectured the existence of a supersolid phase taking place at zero temperature between the quantum liquid and the solid. In this and a succeeding paper, we re-visit this issue for a few polarized electrons (spinless fermions) interacting via a U/r Coulomb repulsion on a two dimensional L×L square lattice with periodic boundary conditions and nearest neighbor hopping t. This paper is restricted to the magic number of particles N = 4 for which a square Wigner molecule is formed when U increases and to the size L = 6 suitable for exact numerical diagonalizations. When the Coulomb energy to kinetic energy ratio r s = UL/(2t ) reaches a value r s F ≈ 10, there is a level crossing between ground states of different momenta. Above r s F, the mesoscopic crystallization proceeds through an intermediate regime ( r s F 〈 r s 〈 r s W ≈ 28) where unpaired fermions with a reduced Fermi energy co-exist with a strongly paired, nearly solid assembly. We suggest that this is the mesoscopic trace of the supersolid proposed by Andreev and Lifshitz. When a random substrate is included, the level crossing at r s F is avoided and gives rise to a lower threshold r s F(W) 〈 r s F where two usual approximations break down: the Wigner surmise for the distribution of the first energy excitation and the Hartree-Fock approximation for the ground state.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2003-00048-0
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  • 4
    Electronic Resource
    Electronic Resource
    Andreev-Lifshitz supersolid revisited for a few electrons on a square lattice II (2003)
    Springer
    The European physical journal 33 (2003), S. 87-101 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 71.10.-w Theories and models of many-electron systems – 73.21.La Quantum dots – 73.20.Qt Electron solids
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: In this second paper, using N = 3 polarized electrons (spinless fermions) interacting via a U/r Coulomb repulsion on a two dimensional L×L square lattice with periodic boundary conditions and nearest neighbor hopping t, we show that a single unpaired fermion can co-exist with a correlated two particle Wigner molecule for intermediate values of the Coulomb energy to kinetic energy ratio r s = UL/(2t ). This supports in an ultimate mesoscopic limit a possibility proposed by Andreev and Lifshitz for the thermodynamic limit: a quantum crystal may have delocalized defects without melting, the number of sites of the crystalline array being smaller than the total number of particles. When L = 6, the ground state exhibits four regimes as rs increases: a Hartree-Fock regime, a first supersolid regime where a correlated pair co-exists with a third fully delocalized particle, a second supersolid regime where the third particle is partly delocalized, and eventually a correlated lattice regime.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2003-00145-0
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    Paper (German National Licenses)
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