Help Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

Rational boundary charge in one-dimensional systems with interaction and disorder


Kennes,  D. M.
Institut für Theorie der Statistischen Physik, RWTH Aachen University and 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;

Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

(Publisher version), 2MB

Supplementary Material (public)
There is no public supplementary material available

Pletyukhov, M., Kennes, D. M., Piasotski, K., Klinovaja, J., Loss, D., & Schoeller, H. (2020). Rational boundary charge in one-dimensional systems with interaction and disorder. Physical Review Research, 2(3): 033345. doi:10.1103/PhysRevResearch.2.033345.

Cite as: https://hdl.handle.net/21.11116/0000-0007-B857-8
We study the boundary charge QB of generic semi-infinite one-dimensional insulators with translational invariance and show that nonlocal symmetries (i.e., including translations) lead to rational quantizations p/q of QB. In particular, we find that (up to an unknown integer) the quantization of QB is given in integer units of 1/2¯ρ and 1/2(¯ρ−1), where ρ is the average charge per site (which is a rational number for an insulator). This is a direct generalization of the known half-integer quantization of QB for systems with local inversion or local chiral symmetries to any rational value. Quite remarkably, this rational quantization remains valid even in the presence of short-ranged electron-electron interactions as well as static random disorder (breaking translational invariance). This striking stability can be traced back to the fact that local perturbations in insulators induce only local charge redistributions. We establish this result with complementary methods including density matrix renormalization group calculations, bosonization methods, and exact solutions for particular lattice models. Furthermore, for the special case of half-filling ¯ρ=1/2, we present explicit results in single-channel and nearest-neighbor hopping models and identify Weyl semimetal physics at gap closing points. Our general framework also allows us to shed new light on the well-known rational quantization of soliton charges at domain walls.