Boundary multifractality in the spin quantum Hall symmetry class with interaction
Abstract
Generalized multifractality characterizes system size dependence of pure scaling local observables at Anderson transitions in all 10 symmetry classes of disordered systems. Recently, the concept of generalized multifractality has been extended to boundaries of critical disordered noninteracting systems. Here we study the generalized boundary multifractality in the presence of electronelectron interaction, focusing on the spin quantum Hall symmetry class (class C). Employing the twoloop renormalization group analysis within the Finkel'stein nonlinear sigma model, we compute the anomalous dimensions of the pure scaling operators located at the boundary of the system. We find that generalized boundary multifractal exponents are twice larger than their bulk counterparts. Exact symmetry relations between generalized boundary multifractal exponents in the case of noninteracting systems are explicitly broken by the interaction.
 Publication:

Physical Review B
 Pub Date:
 November 2023
 DOI:
 10.1103/PhysRevB.108.205429
 arXiv:
 arXiv:2308.16852
 Bibcode:
 2023PhRvB.108t5429B
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics;
 Condensed Matter  Disordered Systems and Neural Networks
 EPrint:
 14 LaTeX pages, 1 figure