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63 papers
Multifractality at the Integer Quantum Hall Transition: Acquittal of the Parabolic Law
Sen Mu, Abbas Ali Saberi, Martin R. Zirnbauer
Stationary wave functions at the integer quantum Hall transition are known to be multifractal, but the exact form of the multifractality spectrum has remained a subject of debate.…
On the infrared limit of the O(3) nonlinear -model at
Martin R. Zirnbauer
2D nonlinear sigma models with Hermitian symmetric target admit a theta-term, which couples the field theory to the topological charge of its instanton gas. At the special coupling…
Wegner model in high dimension: U(1) symmetry breaking and a non-standard phase of disordered electronic matter, I. One-replica theory
Martin R. Zirnbauer
The Anderson transition between localized and metallic states is traditionally analyzed by assuming a one-parameter scaling hypothesis. Although that hypothesis has been confirmed…
Wegner model on a tree graph: U(1) symmetry breaking and a non-standard phase of disordered electronic matter
J. Arenz, M. R. Zirnbauer
Assuming the self-consistent theory of localization due to Abou-Chacra et al., we solve the N=1 Wegner model in the regime of strong disorder and high dimension. In the process, we…
Color-Flavor Transformation Revisited
Martin R. Zirnbauer
The "color-flavor transformation", conceived as a kind of generalized Hubbard-Stratonovich transformation, is a variant of the Wegner-Efetov supermatrix method for disordered elect…
Marginal CFT perturbations at the integer quantum Hall transition
Martin R. Zirnbauer
According to recent arguments by the author, the conformal field theory (CFT) describing the scaling limit of the integer quantum Hall plateau transition is a deformed level-4 Wess…