2003

Quantum dot ground state energies and spin polarizations: soft versus hard chaos

Denis Ullmo 1, 2, Tatsuro Nagano 3, Steven Tomsovic 3 Physical Review Letters 90 (2003) 176801 We consider how the nature of the dynamics affects ground state properties of ballistic quantum dots. We find that « mesoscopic Stoner fluctuations », that arise from the residual screened Coulomb interaction, are very sensitive to the degree of chaos. It leads to ground state energies and spin-polarizations […]

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Pseudogaps due to sound modes: from incommensurate charge density waves to semiconducting wires

Serguei Brasovskii 1, Sergey I. Matveenko 1, 2 JETP Letters 96 (2003) 555 We consider pseudogap effects for electrons interacting with gapless modes. We study both generic 1D semiconductors with acoustic phonons and incommensurate charge density waves. We calculate the subgap absorption as it can be observed by means of the photo electron or tunneling spectroscopy. Within the formalism of functional

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Order-parameter fluctuations in Ising spin glasses at low temperatures

Matteo Palassini 1, Marta Sales 2, Felix Ritort 3 Physical Review B 68 (2003) 224430 We present a numerical study of the order-parameter fluctuations for Ising spin glasses in three and four dimensions at very low temperatures and without an external field. Accurate measurements of two previously introduced parameters, A and G, show that the order parameter is not self-averaging, consistent

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On the formal equivalence of the TAP and thermodynamic methods in the SK model

Andrea Cavagna 1, Irene Giardina 1, Giorgio Parisi 1, Marc Mézard 2 Journal of Physics A 36 (2003) 1175-1194 We revisit two classic Thouless-Anderson-Palmer (TAP) studies of the Sherrington-Kirkpatrick model [Bray A J and Moore M A 1980 J. Phys. C 13, L469; De Dominicis C and Young A P, 1983 J. Phys. A 16, 2063]. By using the Becchi-Rouet-Stora-Tyutin (BRST) supersymmetry, we

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On some integrals over the U(N) unitary group and their large N limit

Paul Zinn-Justin 1, Jean-Bernard Zuber 2 Journal of Physics A 36 (2003) 3173-3194 The integral over the U(N) unitary group $I=\int DU \exp\Tr A U B U^\dagger$ is reexamined. Various approaches and extensions are first reviewed. The second half of the paper deals with more recent developments: relation with integrable Toda lattice hierarchy, diagrammatic expansion and combinatorics, and on

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