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Journal Article

Quantum Monte Carlo at the graphene quantum Hall edge

MPS-Authors
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Wang,  Zhenjiu
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Luitz,  David J.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Sodemann,  Inti
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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2206.04598.pdf
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Citation

Wang, Z., Luitz, D. J., & Sodemann, I. (2022). Quantum Monte Carlo at the graphene quantum Hall edge. Physical Review B, 106(12): 125150. doi:10.1103/PhysRevB.106.125150.


Cite as: https://hdl.handle.net/21.11116/0000-000C-B12A-D
Abstract
We study a continuum model of the interface of charge neutral graphene and vacuum in the quantum Hall regime via a sign-problem-free quantum Monte Carlo, allowing us to investigate the interplay of topology and strong interactions in a graphene quantum Hall edge for large system sizes. We focus on the topological phase transition from the spin-polarized state with symmetry-protected gapless helical edges to the fully charge gapped canted-antiferromagnet state with spontaneous symmetry breaking, driven by the Zeeman energy. Our large system size simulations allow us to detail the behavior of various quantities across this transition that are amenable to being probed experimentally, such as the spatially and energy-resolved local density of states and the local compressibility. We find peculiar kinks in the branches of the edge dispersion, and also an unexpectedly large charge susceptibility in the bulk of the canted antiferromagnet associated with its Goldstone mode.