Quenched dynamics and spin-charge separation in an interacting topological lattice

authored by: L. Barbiero, Luis Santos, N. Goldman
Abstract: We analyze the static and dynamical properties of a one-dimensional topological lattice, the fermionic Su-Schrieffer-Heeger model, in the presence of on-site interactions. Based on a study of charge and spin correlation functions, we elucidate the nature of the topological edge modes, which, depending on the sign of the interactions, either display particles of opposite spin on opposite edges, or a pair and a holon. This study of correlation functions also highlights the strong entanglement that exists between the opposite edges of the system. This last feature has remarkable consequences upon subjecting the system to a quench, where an instantaneous edge-to-edge signal appears in the correlation functions characterizing the edge modes. Besides, other correlation functions are shown to propagate in the bulk according to the light cone imposed by the Lieb-Robinson bound. Our study reveals how one-dimensional lattices exhibiting entangled topological edge modes allow for a nontrivial correlation spreading, while providing an accessible platform to detect spin-charge separation using state-of-the-art experimental techniques.
Organisation(s): Institute of Theoretical Physics
CRC 1227 Designed Quantum States of Matter (DQ-mat)
External Organisation(s): Free University of Brussels (ULB)
Type: Article
Journal: Physical Review B
Volume: 97
ISSN: 2469-9950
Publication date: 29.05.2018
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Electronic, Optical and Magnetic Materials, Condensed Matter Physics
Electronic version(s): https://doi.org/10.48550/arXiv.1803.06957 (Access: Open)
https://doi.org/10.1103/PhysRevB.97.201115 (Access: Closed)

BibTeX

@article{9103767b906041f5bdd43563d64b2063,
title = "Quenched dynamics and spin-charge separation in an interacting topological lattice",
abstract = "We analyze the static and dynamical properties of a one-dimensional topological lattice, the fermionic Su-Schrieffer-Heeger model, in the presence of on-site interactions. Based on a study of charge and spin correlation functions, we elucidate the nature of the topological edge modes, which, depending on the sign of the interactions, either display particles of opposite spin on opposite edges, or a pair and a holon. This study of correlation functions also highlights the strong entanglement that exists between the opposite edges of the system. This last feature has remarkable consequences upon subjecting the system to a quench, where an instantaneous edge-to-edge signal appears in the correlation functions characterizing the edge modes. Besides, other correlation functions are shown to propagate in the bulk according to the light cone imposed by the Lieb-Robinson bound. Our study reveals how one-dimensional lattices exhibiting entangled topological edge modes allow for a nontrivial correlation spreading, while providing an accessible platform to detect spin-charge separation using state-of-the-art experimental techniques.",
author = "L. Barbiero and Luis Santos and N. Goldman",
note = "Funding information: Acknowledgments. Discussions with W. De Roeck, M. Di Liberto, E. Ercolessi, T. Giamarchi, G. I. Japaridze, C. V. Kraus, A. Montorsi, H. Pichler, and F. Verstraete are acknowledged. L.B. and N.G. acknowledge ERC Starting Grant TopoCold for financial support. L.S. acknowledges support by the SFB 1227 “DQ-mat” of the German Research Foundation (DFG).",
year = "2018",
month = may,
day = "29",
doi = "10.48550/arXiv.1803.06957",
language = "English",
volume = "97",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Institute of Physics",
number = "20",
}