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Quantum Hall effect in curved space realized in strained graphene

by Glenn Wagner, Fernando de Juan, Dung X. Nguyen

Submission summary

As Contributors: Dung Nguyen · Glenn Wagner
Arxiv Link: https://arxiv.org/abs/1911.02028v2 (pdf)
Date submitted: 2020-11-17 12:09
Submitted by: Wagner, Glenn
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
Approach: Theoretical

Abstract

The quantum Hall effect in curved space has been the subject of many theoretical investigations in the past, but devising a physical system to observe this effect is hard. Many works have indicated that electronic excitations in strained graphene realize Dirac fermions in curved space in the presence of a background pseudo-gauge field, providing an ideal playground for this. However, the absence of a direct matching between a numerical, strained tight-binding calculation of an observable and the corresponding curved space prediction has hindered realistic predictions. In this work, we provide this matching by deriving the low-energy Hamiltonian from the tight-binding model analytically to second order in the strain and mapping it to the curved-space Dirac equation. Using a strain profile that produces a constant pseudo-magnetic field and a constant curvature, we compute the Landau level spectrum with real-space numerical tight-binding calculations and find excellent agreement with the prediction of the quantum Hall effect in curved space. We conclude discussing experimental schemes for measuring this effect.

Current status:
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Submission 1911.02028v2 on 17 November 2020

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