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Top eigenvalue of a random matrix: large deviations and third order phase transition

Satya N. Majumdar 1 Gregory Schehr 1 Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2014, pp.P01012 We study the fluctuations of the largest eigenvalue $\lambda_{\max}$ of $N \times N$ random matrices in the limit of large $N$. The main focus is on Gaussian $\beta$-ensembles, including in particular the Gaussian orthogonal ($\beta=1$), unitary ($\beta=2$) […]

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Thomas precession, persistent spin currents and quantum forces

Stephane Ouvry 1 Leonid Pastur 2 Andrey Yanovsky 2 Europhysics Letters, EDP Science, 2014, 106, pp.18001 We consider T-invariant spin currents induced by spin-orbit interactions which originate from the confined motion of spin carriers in nanostructures. The resulting Thomas spin precession is a fundamental and purely kinematic relativistic effect occurring when the acceleration of carriers

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The two scenarios for quantum multifractality breakdown

Rémy Dubertrand 1 Ignacio García-Mata 2 Bertrand Georgeot 1 Olivier Giraud 3 Gabriel Lemarié 1 J. Martin 4 Physical Review Letters, American Physical Society, 2014, 112, pp.234101. <10.1103/PhysRevLett.112.234101> We expose two scenarios for the breakdown of quantum multifractality under the effect of perturbations. In the first scenario, multifractality survives below a certain scale of the

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The role of the glassy dynamics and thermal mixing in the dynamic nuclear polarization and relaxation mechanisms of pyruvic acid

Marta Filibian 1 Sonia Colombo Serra 2 Marco Moscardini 1 Alberto Rosso 3 Fabio Tedoldi 2 Pietro Carretta 1 Physical Chemistry Chemical Physics, Royal Society of Chemistry, 2014, 16, pp.27025 The temperature dependence of $^1$H and $^{13}$C nuclear spin-lattice relaxation rate $1/T_1$ has been studied between 4.2 K and 1.6 K in pure pyruvic acid

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The effect of disorder geometry on the critical force in disordered elastic systems

V. Démery 1 V. Lecomte 2 A. Rosso 3 Journal of Statistical Mechanics : Theory and Experiment, 2014, P03009, 20 p. <10.1088/1742-5468/2014/03/P03009> 1. IJLRA – Institut Jean Le Rond d’Alembert 2. LPMA – Laboratoire de Probabilités et Modèles Aléatoires 3. Laboratoire Physique Théorique et Modèles Statistiques (UMR CNRS 8626), Université de Paris-Sud, Orsay Cedex,

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Synchronization transitions in globally coupled rotors in presence of noise and inertia: Exact results

Maxim Komarov 1, 2 Shamik Gupta 3 Arkady Pikovsky 1, 2 Europhysics Letters, EDP Science, 2014, 106, pp.40003 We study a generic model of globally coupled rotors that includes the effects of noise, phase shift in the coupling, and distributions of moments of inertia and natural frequencies of oscillation. As particular cases, the setup includes

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