Network model for periodically strained graphene

Abstract

The long-wavelength physics of monolayer graphene in the presence of periodic strain fields has a natural chiral scattering network description. When the strain field varies slowly compared to the graphene lattice and the effective magnetic length of the induced valley pseudomagnetic field, the low-energy physics can be understood in terms of valley-polarized percolating domain-wall modes. Inspired by a recent experiment, we consider a strain field with threefold rotation and mirror symmetries but without twofold rotation symmetry, resulting in a system with the connectivity of the oriented kagome network. Scattering processes in this network are captured by a symmetry-constrained phenomenological $S$ matrix. We analyze the phase diagram of the kagome network, and show that the bulk physics of the strained graphene can be qualitatively captured by the network when we account for a percolation transition at charge neutrality. We also discuss the limitations of this approach to properly account for boundary physics.

13 pages; 11 figures

References in corpus (11)

• The electronic properties of graphene
• Unconventional Integer Quantum Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Symmetry-based approach to electron-phonon interactions in graphene
• Evidence of Flat Bands and Correlated States in Buckled Graphene Superlattices
• Gaps tunable by electrostatic gates in strained graphene
• Aharonov-Bohm Oscillations in Minimally Twisted Bilayer Graphene
• Construction and properties of a topological index for periodically driven time-reversal invariant 2D crystals
• Bloch oscillations in the magnetoconductance of twisted bilayer graphene
• Kagomé network of chiral miniband-edge states in double-aligned graphene-hexagonal boron nitride structures
• Network model and four-terminal transport in minimally twisted bilayer graphene

Cited by in corpus (8)

• Topological exact flat bands in two dimensional materials under periodic strain
• Topological flat bands in strained graphene: substrate engineering and optical control
• Roses in the Nonperturbative Current Response of Artificial Crystals
• Elastic Screening of Pseudogauge Fields in Graphene
• Protected Fermionic Zero Modes in Periodic Gauge Fields
• Gate-Tunable Resonances and 1D Channel in a Graphene Nanoslide
• Effects of spin-orbit coupling in a valley chiral kagomé network
• Chiral electronic network within skyrmionic lattice on topological insulator surfaces