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Quasiparticle spectroscopy as a probe of the topological phase in graphene with heavy adatoms

Paul Soulé 1, 2 Marcel Franz 2, 3 4 pages, 2 figures; Version 2 : references added, minor changes. 2014 Electrons in graphene with heavy adatoms (such as In or Tl) have been predicted to form a 2D topological insulator phase with a substantial spectral gap potentially suitable for future practical applications. In order to […]

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Phase transitions in the condition number distribution of Gaussian random matrices

Isaac Pérez Castillo 1 Eytan Katzav 2 Pierpaolo Vivo 3, 4 Physical Review E, American Physical Society, 2014, 90, pp.050103 We study the statistics of the condition number $\kappa=\lambda_{\mathrm{max}}/\lambda_{\mathrm{min}}$ (the ratio between largest and smallest squared singular values) of $N\times M$ Gaussian random matrices. Using a Coulomb fluid technique, we derive analytically and for large

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Phase transitions and edge scaling of number variance in Gaussian random matrices

Ricardo Marino 1 Satya N. Majumdar 1 Grégory Schehr 1 Pierpaolo Vivo 1 Physical Review Letters, American Physical Society, 2014, 112, pp.254101 We consider $N\times N$ Gaussian random matrices, whose average density of eigenvalues has the Wigner semi-circle form over $[-\sqrt{2},\sqrt{2}]$. For such matrices, using a Coulomb gas technique, we compute the large $N$ behavior

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One-dimensional disordered quantum mechanics and Sinai diffusion with random absorbers

Aurélien Grabsch 1 Christophe Texier 2 Yves Tourigny 3 Journal of Statistical Physics, Springer Verlag (Germany), 2014, 155, pp.237-276 We study the one-dimensional Schrödinger equation with a disordered potential of the form $V (x) = \phi(x)^2+\phi'(x) + \kappa(x) $ where $\phi(x)$ is a Gaussian white noise with mean $\mu g$ and variance $g$, and $\kappa(x)$

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On the Gap and Time Interval between the First Two Maxima of Long Random Walks

Satya N. Majumdar 1 Philippe Mounaix 2 Gregory Schehr 1 Journal of Statistical Mechanics, 2014, pp.P09013 In the context of order statistics of discrete time random walks (RW), we investigate the statistics of the gap, $G_n$, and the number of time steps, $L_n$, between the two highest positions of a Markovian one-dimensional random walker, starting

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Observation of a Strong Atom-Dimer Attraction in a Mass-Imbalanced Fermi-Fermi Mixture

Michael Jag 1, 2 Matteo Zaccanti 1, 3 Marko Cetina 1 Rianne S. Lous 1, 4 Florian Schreck 1 Rudolf Grimm 1, 4 Dmitry S. Petrov 5 Jesper Levinsen 6, 7 Physical Review Letters, American Physical Society, 2014, 112, pp.075302 We investigate a mixture of ultracold fermionic $^{40}$K atoms and weakly bound $^{6}$Li$^{40}$K dimers on

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