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Universal Properties of Boundary and Interface Charges in Multichannel One-dimensional Continuum Models by Piasotski, Kiryl; Müller, Niclas; Kennes, Dante M.; Schoeller, Herbert; Pletyukhov, Mikhail is a scholarly article available to read on EtoBox.

What is Universal Properties of Boundary and Interface Charges in Multichannel One-dimensional Continuum Models about?

We generalize our recent results for the boundary and interface charges in one-dimensional single-channel continuum [Phys. Rev. B 104, 155409 (2021)] and multichannel tight-binding [Phys. Rev. B 104, 125447 (2021)] models to the realm of the multichannel continuum systems. Using the technique of boundary Green's functions, we give a rigorous proof that the change in boundary charge upon the shift of the system towards the boundary by the distance $x_{\varphi}\in[0, L]$ is given by a perfectly linear function of $x_{\varphi}$ plus an integer-valued topological invariant $I$ -- the so called boundary invariant. For systems with weak potential amplitudes, we additionally develop Green's function-based low-energy theory, allowing one to analytically access the physics of multichannel continuum systems in the low-energy approximation.

Author

Piasotski, Kiryl; Müller, Niclas; Kennes, Dante M.; Schoeller, Herbert; Pletyukhov, Mikhail

Published

2022

Language

EN