AI Article Synopsis
- The study focuses on quantum fluctuations in charge accumulation at the boundary of insulators, providing a method to analyze phase transitions, especially when a direct gap closes and reopens.
- This approach is significant because it can be applied across different types of insulators, including topological, Anderson, and Mott insulators, offering a unified characterization.
- The researchers observe a universal scaling relationship between the charge fluctuations and the gap size, finding specific scaling behaviors in one and two dimensions for phase transitions with a bulk spectrum similar to a massive Dirac particle.
Article Abstract
We establish the quantum fluctuations ΔQ_{B}^{2} of the charge Q_{B} 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 ΔQ_{B}^{2}(E_{g}) as a function of the gap size E_{g} 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.
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| http://dx.doi.org/10.1103/PhysRevLett.126.016803 | DOI Listing |
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