The modulation of the de Haas-van Alphen effect in graphene by electric field.
← Research streamIn graphene with an in-plane uniform electric field, the de Haas-van Alphen magnetization and magnetic susceptibility are modulated via the parameter β = E/(vF B). As β increases, magnetization and susceptibility diverge to positive or negative infinity at βc…
Study snapshot
Abstract
This paper explores the de Haas-van Alphen effect (dHvA) of graphene in the presence of an in-plane uniform electric field. Three major findings are yielded. First of all, the electric field is found to modulate the de Haas-van Alphen magnetization and magnetic susceptibility through the dimensionless parameter (β = E/(v(F)B). As the parameter β increases, the values of magnetization and magnetic susceptibility increase to positive infinity or decrease to negative infinity at the exotic point β(c) = 1. Furthermore, the dHvA oscillation amplitude rises abruptly to infinity for zero temperature at β(c) = 1, but eventually collapses at a finite temperature, thereby leading to the de Haas-van Alphen effect vanishing. In addition, the magnetic susceptibility depends on the electric and magnetic fields, suggesting that graphene should be a non-linear magnetic medium in the presence of an external field. These results, which are different from those obtained in the standard non-relativistic 2D electron gas, are attributed to the anomalous Landau level spectrum of graphene.
AI evidence extraction
Structured fields below were generated from the paper’s abstract and metadata to make the evidence easier to inspect. Automated extraction may be incomplete or incorrect; verify important details against the original paper.
Main findings
In graphene with an in-plane uniform electric field, the de Haas-van Alphen magnetization and magnetic susceptibility are modulated via the parameter β = E/(vF B). As β increases, magnetization and susceptibility diverge to positive or negative infinity at βc = 1; the dHvA oscillation amplitude diverges at zero temperature at βc = 1 but collapses at finite temperature, leading to the dHvA effect vanishing. Magnetic susceptibility depends on both electric and magnetic fields, suggesting nonlinear magnetic behavior under external fields.
Outcomes measured
- de Haas-van Alphen (dHvA) magnetization
- magnetic susceptibility
- dHvA oscillation amplitude
- vanishing of dHvA effect at finite temperature (at βc=1)
View raw extracted JSON
{
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"outcomes": [
"de Haas-van Alphen (dHvA) magnetization",
"magnetic susceptibility",
"dHvA oscillation amplitude",
"vanishing of dHvA effect at finite temperature (at βc=1)"
],
"main_findings": "In graphene with an in-plane uniform electric field, the de Haas-van Alphen magnetization and magnetic susceptibility are modulated via the parameter β = E/(vF B). As β increases, magnetization and susceptibility diverge to positive or negative infinity at βc = 1; the dHvA oscillation amplitude diverges at zero temperature at βc = 1 but collapses at finite temperature, leading to the dHvA effect vanishing. Magnetic susceptibility depends on both electric and magnetic fields, suggesting nonlinear magnetic behavior under external fields.",
"effect_direction": "unclear",
"limitations": [],
"evidence_strength": "insufficient",
"confidence": 0.74,
"peer_reviewed_likely": "yes",
"keywords": [
"graphene",
"de Haas-van Alphen effect",
"electric field",
"magnetization",
"magnetic susceptibility",
"Landau levels",
"nonlinear magnetic medium"
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}AI-extracted fields are generated from the abstract and metadata and may be incomplete or incorrect. This material is for informational purposes and is not medical advice.
Identifiers and source
DOI: 10.1088/0953-8984/22/11/115302
PubMed: 21389460
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