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Exact probability distribution functions for Parrondo's games
Rubina Zadourian, David B Saakian, Andreas Klumper
We consider discrete time Brownian ratchet models: Parrondo's games. Using the Fourier transform, we calculate the exact probability distribution functions for both the capital dep…
Geometrically disordered network models, quenched quantum gravity, and critical behavior at quantum Hall plateau transitions
Ilya Gruzberg, Andreas Kluemper, Win Nuding +1
Recent high-precision results for the critical exponent of the localization length at the integer quantum Hall (IQH) transition differ considerably between experimental ($ν_\text{e…
Matrix product states for invariant quantum spin chains
Rubina Zadourian, Andreas Fledderjohann, Andreas Klümper
A systematic and compact treatment of arbitrary invariant spin- quantum chains with nearest-neighbour interactions is presented. The ground-state is derived in terms of…
Correlation functions of the integrable spin-s chain
G. A. P. Ribeiro, A. Klümper
We study the correlation functions of su(2) invariant spin-s chains in the thermodynamic limit. We derive non-linear integral equations for an auxiliary correlation function fo…