QUANTUM NETWORK MODELS AND CLASSICAL LOCALIZATION PROBLEMS

DOI10.1142/S0217979210064678zbMath1195.82031arXiv1004.3198OpenAlexW2020940086MaRDI QIDQ4929670

John L. Cardy

Publication date: 23 September 2010

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3198

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

Lower bound for the escape probability in the Lorentz mirror model on \(\mathbb{Z}^{2}\) ⋮ Selected Problems in Probability Theory ⋮ The glassy phase of complex branching Brownian motion ⋮ On the Manhattan pinball problem ⋮ Matrix Kesten recursion, inverse-Wishart ensemble and fermions in a Morse potential

Cites Work

• Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
• Asymptotic behavior of Brownian polymers
• Scaling of particle trajectories on a lattice
• Critical exponents for two-dimensional percolation
• Network models in class \(C\) on arbitrary graphs
• Supersymmetry for systems with unitary disorder: circular ensembles
• Quantum and classical localization and the Manhattan lattice
• Linking Numbers for Self-Avoiding Loops and Percolation: Application to the Spin Quantum Hall Transition

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