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19932020
most citedEpitaxial Growth of a Silicene Sheet

1.4k citations

Showing 2008Show all

12 papers · 1 filter

math.SP2008★ 83 cited

Spectral Pollution and How to Avoid It (With Applications to Dirac and Periodic Schrödinger Operators)

Mathieu Lewin, Eric Séré

This paper, devoted to the study of spectral pollution, contains both abstract results and applications to some self-adjoint operators with a gap in their essential spectrum occuri…

math-ph2008★ 24 cited

Quantization of the Hall conductance and delocalization in ergodic Landau Hamiltonians

François Germinet, Abel Klein, Jeffrey H. Schenker

We prove quantization of the Hall conductance for continuous ergodic Landau Hamiltonians under a condition on the decay of the Fermi projections. This condition and continuity of t…

cond-mat.mes-hall2008★ 58 cited

Geometry induced charge separation on a helicoidal ribbon

Victor Atanasov, Rossen Dandoloff, Avadh Saxena

We present an exact calculation of the effective geometry-induced quantum potential for a particle confined on a helicoidal ribbon. This potential leads to the appearance of locali…

math.AP2008★ 47 cited

Minimizers for the Hartree-Fock-Bogoliubov Theory of Neutron Stars and White Dwarfs

Enno Lenzmann, Mathieu Lewin

We prove the existence of minimizers for Hartree-Fock-Bogoliubov (HFB) energy functionals with attractive two-body interactions given by Newtonian gravity. This class of HFB functi…

math-ph2008

The Thermodynamic Limit of Quantum Coulomb Systems: A New Approach

Christian Hainzl, Mathieu Lewin, Jan Philip Solovej

We present two recent works on the thermodynamic limit of quantum Coulomb systems, in which we provided a general method allowing to show the existence of the limit for many differ…

math-ph2008★ 2 cited

The ground state energy of the mean field spin glass model

Flora Koukiou

From the study of a functional equation of Gibbs measures we calculate the limiting free energy of the Sherrington-Kirkpatrick spin glass model at a particular value of (low) tempe…

math-ph2008★ 69 cited

Riemann-Hilbert approach to a generalized sine kernel and applications

N. Kitanine, Karol K. Kozlowski, Jean Michel Maillet +2

We investigate the asymptotic behavior of a generalized sine kernel acting on a finite size interval [-q,q]. We determine its asymptotic resolvent as well as the first terms in the…

math.ST2008★ 12 cited

Evaluation for moments of a ratio with application to regression estimation

Paul Doukhan, Gabriel Lang

Ratios of random variables often appear in probability and statistical applications. We aim to approximate the moments of such ratios under several dependence assumptions. Extendin…

math.AP2008★ 29 cited

Description of the inelastic collision of two solitary waves for the BBM equation

Y. Martel, F. Merle, T. Mizumachi

We prove that the collision of two solitary waves of the BBM equation is inelastic but almost elastic in the case where one solitary wave is small in the energy space. We show prec…

quant-ph2008★ 28 cited

Curvature-induced quantum behaviour on a helical nanotube

Victor Atanasov, Rossen Dandoloff

We investigate the effect of curvature on the behaviour of a quantum particle bound to move on a surface shaped as a helical tube. We derive and discuss the governing Schrödinger e…

quant-ph2008★ 7 cited

Qubits from tight knots and bent nano-bars

Victor Atanasov, Rossen Dandoloff

We propose a novel mechanism for creating a qubit based on a tight knot, that is a nano-quantum wire system so small and so cold as to be quantum coherent with respect to curvature…

cond-mat.mtrl-sci2008★ 21 cited

Temperature Dependence of the Spin Resistivity in Ferromagnetic Thin Films

K. Akabli, H. T. Diep

The magnetic phase transition is experimentally known to give rise to an anomalous temperature-dependence of the electron resistivity in ferromagnetic crystals. Phenomenological th…