Bosonization of the interacting Su-Schrieffer-Heeger model
Strongly Correlated Electrons
2023-05-31 v1
Abstract
We derive the bosonization of the interacting fermionic Su-Schrieffer-Heeger (SSH) with open boundaries. We use the classical Euler-Lagrange equations of motions of the bosonized theory to compute the density profile of the Majorana edge mode and observe excellent agreement with numerical results, notably the localization of the mode near the boundaries. Remarkably, we find that repulsive or attractive interactions do not systematically localize or delocalize the edge mode but their effects depend on the value of the staggering parameter. We provide quantitative predictions of these effects on the localization length of the edge mode.
Keywords
Cite
@article{arxiv.2301.00472,
title = {Bosonization of the interacting Su-Schrieffer-Heeger model},
author = {Tony Jin and Paola Ruggiero and Thierry Giamarchi},
journal= {arXiv preprint arXiv:2301.00472},
year = {2023}
}
Comments
2 figures, Main : 5 pages, Supplemental Material : 8 pages