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Influence of a Pseudo Aharonov-Bohm field on the quantum Hall effect in Graphene
Mesoscale and Nanoscale Physics · Submitted 29 Oct 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim For integer values of the pseudo AB flux, the actual quantum Hall effect is preserved.
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The abstract, sentence by sentence
The effect of an Aharonov-Bohm (AB) pseudo magnetic field on a two dimensional electron gas in graphene is investigated. We consider it modeled as in the usual AB effect but since such pseudo field is supposed to be induced by elastic deformations, the quantization of the field flux is abandoned. For certain constraints on the orbital angular momentum eigenvalues allowed for the system, we can observe the zero Landau level failing to develop, due to the degeneracy related to the Dirac valleys $K$ and $K^\prime$ which is broken. For integer values of the pseudo AB flux, the actual quantum Hall effect is preserved. Obtaining the Hall conductivity by summing over all orbital angular momentum eigenvalues, the zero Landau levels is recovered. Since our problem is closed related to the case where topological defects on a graphene sheet are present, the questions posed here are helpful if one is interested to probe the effects of a singular curvature in these systems.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The effect of an Aharonov-Bohm (AB) pseudo magnetic field on a two dimensional electron gas in graphene is investigated. | contribution 0.84 | 0.67 | 0.04 | asserted 0.75 |
| s1 | We consider it modeled as in the usual AB effect but since such pseudo field is supposed to be induced by elastic deformations, the quantization of the field flux is abandoned. | method 0.97 | 0.44 | 0.07 | asserted 0.82 |
| s2 | For certain constraints on the orbital angular momentum eigenvalues allowed for the system, we can observe the zero Landau level failing to develop, due to the degeneracy related to the Dirac valleys $K$ and $K^\prime$ which is broken. | result 0.99 | 0.80 | 0.23 | hedged possibility 0.68 |
| s3 | For integer values of the pseudo AB flux, the actual quantum Hall effect is preserved. | result 1.00 | 0.81 | 0.30 | asserted 1.00 |
| s4 | Obtaining the Hall conductivity by summing over all orbital angular momentum eigenvalues, the zero Landau levels is recovered. | result 0.90 | 0.87 | 0.21 | asserted 1.00 |
| s5 | Since our problem is closed related to the case where topological defects on a graphene sheet are present, the questions posed here are helpful if one is interested to probe the effects of a singular curvature in these systems. | interpretation 0.84 | 0.13 | 0.06 | hedged possibility 0.64 |
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The paper
Original abstract
The effect of an Aharonov-Bohm (AB) pseudo magnetic field on a two dimensional electron gas in graphene is investigated. We consider it modeled as in the usual AB effect but since such pseudo field is supposed to be induced by elastic deformations, the quantization of the field flux is abandoned. For certain constraints on the orbital angular momentum eigenvalues allowed for the system, we can observe the zero Landau level failing to develop, due to the degeneracy related to the Dirac valleys $K$ and $K^\prime$ which is broken. For integer values of the pseudo AB flux, the actual quantum Hall effect is preserved. Obtaining the Hall conductivity by summing over all orbital angular momentum eigenvalues, the zero Landau levels is recovered. Since our problem is closed related to the case where topological defects on a graphene sheet are present, the questions posed here are helpful if one is interested to probe the effects of a singular curvature in these systems.
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