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arXiv · 1107.1102

Edge magnetism of Heisenberg model on honeycomb lattice

Wen-Min Huang·Yen-Chen Lee·Toshiya Hikihara·Hsiu-Hau Lin
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Abstract

In our previous study, a single-branch of ferromagnetic magnon with linear dispersion is shown to exist near the (uncompensated) zigzag edge for Heisenberg model on honeycomb lattice. Here we develop a field-theory description for the edge magnon and find its dynamics is captured by the one-dimensional relativistic Klein-Gordon equation. It is intriguing that the boundary field theory for the edge magnon is tied up with its bulk counterpart, described by the two-dimensional Klein-Gordon equation. Furthermore, we also reveal how the parity symmetry relates evanescent modes on opposite edges in a honeycomb nanoribbon. By employing alternative methods, including Schwinger bosons and density-matrix renormalization group, we also demonstrate that the relativistic edge magnon is robust even when the Neel order in the bulk is destroyed by quantum fluctuations. The edge magnon is a direct consequence of uncompensated edge and may be verified in realistic materials by experimental probes.

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Wen-Min Huang, Yen-Chen Lee, Toshiya Hikihara, Hsiu-Hau Lin. 2011-07-06. Edge magnetism of Heisenberg model on honeycomb lattice. https://arxiv.org/abs/1107.1102

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