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19 papers · 1 filter
On convergence of generalized continued fractions and Ramanujan's conjecture
A. A. Glutsyuk
We consider continued fractions \frac{-a_1}{1-\frac{a_2}{1-\frac{a_3}{1-...}}} \label{fr} with real coefficients converging to a limit . S.Ramanujan had stated the theorem…
Ground state and low-lying excitations of the spin-1/2 XXZ model on the kagome lattice at magnetization 1/3
A. Honecker, D. C. Cabra, M. D. Grynberg +5
We study the ground state and low-lying excitations of the S=1/2 XXZ antiferromagnet on the kagome lattice at magnetization one third of the saturation. An exponential number of no…
Ricci curvature for metric-measure spaces via optimal transport
John Lott, Cedric Villani
We define a notion of a measured length space X having nonnegative N-Ricci curvature, for N finite, or having infinity-Ricci curvature bounded below by K, for K a real number. The…
Neel order, ring exchange and charge fluctuations in the half-filled Hubbard model
J. -Y. P. Delannoy, M. J. P. Gingras, P. C. W. Holdsworth +1
We investigate the ground state properties of the two dimensional half-filled one band Hubbard model in the strong (large-U) to intermediate coupling limit ({\it i.e.} away from th…
Nonintegrable Schrodinger Discrete Breathers
J. Gomez-Gardenes, L. M. Floria, M. Peyrard +1
In an extensive numerical investigation of nonintegrable translational motion of discrete breathers in nonlinear Schrodinger lattices, we have used a regularized Newton algorithm t…
Cugliandolo-Kurchan equations for dynamics of Spin-Glasses
Gerard Ben Arous, Amir Dembo, Alice Guionnet
We study the Langevin dynamics for the family of spherical -spin disordered mean-field models and prove that in the limit of system size approaching infinity, the empirical…