Generalized multifractality at spin quantum Hall transition
- Reed College, Department of Physics, 3203 Southeast Woodstock Boulevard, Portland, OR, 97202 (United States)
- Ohio State University, Department of Physics, 191 West Woodruff Ave, Columbus OH, 43210 (United States)
- Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology, 76021 Karlsruhe (Germany)
Generalized multifractality characterizes scaling of eigenstate observables at Anderson-localization critical points. We explore generalized multifractality in 2D systems, with the main focus on the spin quantum Hall (SQH) transition in superconductors of symmetry class C. Relations and differences with the conventional integer quantum Hall (IQH) transition are also studied. Using the field-theoretical formalism of non-linear sigma-model, we derive the pure-scaling operators representing generalizing multifractality and then “translate” them to the language of eigenstate observables. Performing numerical simulations on network models for SQH and IQH transitions, we confirm the analytical predictions for scaling observables and determine the corresponding exponents. Remarkably, the generalized-multifractality exponents at the SQH critical point strongly violate the generalized parabolicity of the spectrum, which implies violation of the local conformal invariance at this critical point.
- OSTI ID:
- 23183163
- Journal Information:
- Annals of Physics, Journal Name: Annals of Physics Vol. 435; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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