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Universality of Boundary Charge Fluctuations

MPG-Autoren
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Kennes,  D. M.
Institut für Theorie der Statistischen Physik, RWTH Aachen, 52056 Aachen, Germany and Jülich Aachen Research Alliance (JARA), Fundamentals of Future Information Technology;
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free Electron Laser Science;

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PhysRevLett.126.016803.pdf
(Verlagsversion), 2MB

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supplement_QBFluc.pdf
(Ergänzendes Material), 338KB

Zitation

Weber, C. S., Piasotski, K., Pletyukhov, M., Klinovaja, J., Loss, D., Schoeller, H., et al. (2021). Universality of Boundary Charge Fluctuations. Physical Review Letters, 126(1): 016803. doi:10.1103/PhysRevLett.126.016803.


Zitierlink: https://hdl.handle.net/21.11116/0000-0007-DDC8-F
Zusammenfassung
We establish the quantum fluctuations ΔQ2B of the charge QB accumulated at the boundary of an insulator as an integral tool to characterize phase transitions where a direct gap closes (and reopens), typically occurring for insulators with topological properties. The power of this characterization lies in its capability to treat different kinds of insulators on equal footing, being applicable to transitions between topological and nontopological band, Anderson, and Mott insulators alike. In the vicinity of the phase transition, we find a universal scaling ΔQ2B(Eg) as a function of the gap size Eg and determine its generic form in various dimensions. For prototypical phase transitions with a massive Dirac-like bulk spectrum, we demonstrate a scaling with the inverse gap in one dimension and a logarithmic one in two dimensions.