2014

Area distribution of two-dimensional random walks and non Hermitian Hofstadter quantum mechanics

Sergey Matveenko 1, 2 Stephane Ouvry 2 Journal of Physics A: Mathematical and Theoretical, Institute of Physics: Hybrid Open Access, 2014, 47, pp.185001 When random walks on a square lattice are biased horizontally to move solely to the right, the probability distribution of their algebraic area can be exactly obtained. We explicitly map this biased […]

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Absence of a gap in the Gaffnian state

Thierry Jolicoeur 1 Takahiro Mizusaki 2 Philippe Lecheminant 3 Physical Review B (Condensed Matter), American Physical Society, 2014, 90, pp.075116 We study the Gaffnian trial wavefunction proposed to describe fractional quantum Hall correlations at Bose filling factor $\nu=2/3$ and Fermi filling $\nu=2/5$. A family of Hamiltonians interpolating between a hard-core interaction for which the physics

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A singular-potential random matrix model arising in mean-field glassy systems

Gernot Akemann 1 Dario Villamaina 2 Pierpaolo Vivo 3 Physical Review E, American Physical Society, 2014, 89, pp.062146 We consider an invariant random matrix model where the standard Gaussian potential is distorted by an additional single pole of order $m$. We compute the average or macroscopic spectral density in the limit of large matrix size,

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A new dipolar potential for numerical simulations of polar fluids on the 4D hypersphere

Jean-Michel Caillol 1 Martin Trulsson 2 The Journal of Chemical Physics, 2014, 141, pp.124111 We present a new method for Monte Carlo or Molecular Dynamics numerical simulations of three dimensional polar fluids. The simulation cell is defined to be the surface of the northern hemisphere of a four-dimensional (hyper)sphere. The point dipoles are constrained to

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