Spontaneous parity breaking of graphene in the quantum Hall regime
Jean-No\"el Fuchs (LPS), Pascal Lederer (LPS)
TL;DR
This paper proposes that a magnetic field induces a spontaneous lattice distortion in graphene, breaking inversion symmetry and causing valley splitting of the n=0 Landau level, offering an alternative explanation for quantum Hall phenomena.
Contribution
It introduces a novel mechanism of spontaneous parity breaking via lattice distortion in graphene under magnetic fields, differing from existing valley ferromagnetism theories.
Findings
Valley splitting occurs only in the n=0 Landau level.
Inversion symmetry is spontaneously broken by a magnetic field-dependent Peierls distortion.
The mechanism explains observed quantum Hall plateaus in graphene.
Abstract
We propose that the inversion symmetry of the graphene honeycomb lattice is spontaneously broken via a magnetic field dependent Peierls distortion. This leads to valley splitting of the Landau level but not of the other Landau levels. Compared to quantum Hall valley ferromagnetism recently discussed in the literature, lattice distortion provides an alternative explanation to all the currently observed quantum Hall plateaus in graphene.
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Taxonomy
TopicsGraphene research and applications · Quantum and electron transport phenomena · Quantum Computing Algorithms and Architecture