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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…
Particle-Hole Symmetries in Condensed Matter
Martin R. Zirnbauer
The term "particle-hole symmetry" is beset with conflicting meanings in contemporary physics. Conceived and written from a condensed-matter standpoint, the present paper aims to cl…
Bulk-boundary correspondence for disordered free-fermion topological phases
Alexander Alldridge, Christopher Max, Martin R. Zirnbauer
Guided by the many-particle quantum theory of interacting systems, we develop a uniform classification scheme for topological phases of disordered gapped free fermions, encompassin…
The integer quantum Hall plateau transition is a current algebra after all
Martin R. Zirnbauer
The scaling behavior near the transition between plateaus of the Integer Quantum Hall Effect (IQHE) has traditionally been interpreted on the basis of a two-parameter renormalizati…
Bott-Kitaev Periodic Table and the Diagonal Map
R. Kennedy, M. R. Zirnbauer
Building on the 10-way symmetry classification of disordered fermions, the authors have recently given a homotopy-theoretic proof of Kitaev's "Periodic Table" for topological insul…