Boundary multifractality in the spin quantum Hall symmetry class with interaction

Babkin S, Burmistrov I. 2023. Boundary multifractality in the spin quantum Hall symmetry class with interaction. Physical Review B. 108(20), 205429.

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Author
Babkin, SerafimISTA ; Burmistrov, I

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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 electron-electron interaction, focusing on the spin quantum Hall symmetry class (class C). Employing the two-loop 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.
Publishing Year
Date Published
2023-11-15
Journal Title
Physical Review B
Publisher
American Physical Society
Acknowledgement
The authors are grateful to J. Karcher and A. Mirlin for collaboration on the related project. We thank I. Gruzberg and A. Mirlin for useful discussions and comments. I.S.B. is grateful to M. Parfenov and P. Ostrovsky for collaboration on the related project. The research was supported by Russian Science Foundation (Grant No. 22-42-04416).
Volume
108
Issue
20
Article Number
205429
ISSN
eISSN
IST-REx-ID

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Babkin S, Burmistrov I. Boundary multifractality in the spin quantum Hall symmetry class with interaction. Physical Review B. 2023;108(20). doi:10.1103/PhysRevB.108.205429
Babkin, S., & Burmistrov, I. (2023). Boundary multifractality in the spin quantum Hall symmetry class with interaction. Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.108.205429
Babkin, Serafim, and I Burmistrov. “Boundary Multifractality in the Spin Quantum Hall Symmetry Class with Interaction.” Physical Review B. American Physical Society, 2023. https://doi.org/10.1103/PhysRevB.108.205429.
S. Babkin and I. Burmistrov, “Boundary multifractality in the spin quantum Hall symmetry class with interaction,” Physical Review B, vol. 108, no. 20. American Physical Society, 2023.
Babkin S, Burmistrov I. 2023. Boundary multifractality in the spin quantum Hall symmetry class with interaction. Physical Review B. 108(20), 205429.
Babkin, Serafim, and I. Burmistrov. “Boundary Multifractality in the Spin Quantum Hall Symmetry Class with Interaction.” Physical Review B, vol. 108, no. 20, 205429, American Physical Society, 2023, doi:10.1103/PhysRevB.108.205429.
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