### Abstract

The dynamics of symmetry breaking responsible for lifting the degeneracy of the Landau levels (LLs) in the integer quantum Hall (QH) effect in graphene is studied in a low-energy model with the Coulomb interaction. The gap equation for Dirac quasiparticles is analyzed for both the lowest and higher LLs, taking into account the LL mixing. It is shown that the characteristic feature of the long-range Coulomb interaction is the dependence of the gap parameters on the LL index n ('running' gaps). The renormalization (running) of the Fermi velocity as a function of n is also studied. The solutions of the gap equation reproduce correctly the experimentally observed integer QH plateaus in graphene in strong magnetic fields.

Original language | English (US) |
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Title of host publication | Physica Scripta T |

Volume | T146 |

State | Published - 2012 |

Event | 2010 Nobel Symposium on Graphene and Quantum Matter - Saltsjobaden, Sweden Duration: May 27 2010 → May 31 2010 |

### Other

Other | 2010 Nobel Symposium on Graphene and Quantum Matter |
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Country | Sweden |

City | Saltsjobaden |

Period | 5/27/10 → 5/31/10 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physica Scripta T*(Vol. T146). [014018]

**Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene.** / Gorbar, E. V.; Gusynin, V. P.; Miransky, V. A.; Shovkovy, Igor.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Physica Scripta T.*vol. T146, 014018, 2010 Nobel Symposium on Graphene and Quantum Matter, Saltsjobaden, Sweden, 5/27/10.

}

TY - GEN

T1 - Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene

AU - Gorbar, E. V.

AU - Gusynin, V. P.

AU - Miransky, V. A.

AU - Shovkovy, Igor

PY - 2012

Y1 - 2012

N2 - The dynamics of symmetry breaking responsible for lifting the degeneracy of the Landau levels (LLs) in the integer quantum Hall (QH) effect in graphene is studied in a low-energy model with the Coulomb interaction. The gap equation for Dirac quasiparticles is analyzed for both the lowest and higher LLs, taking into account the LL mixing. It is shown that the characteristic feature of the long-range Coulomb interaction is the dependence of the gap parameters on the LL index n ('running' gaps). The renormalization (running) of the Fermi velocity as a function of n is also studied. The solutions of the gap equation reproduce correctly the experimentally observed integer QH plateaus in graphene in strong magnetic fields.

AB - The dynamics of symmetry breaking responsible for lifting the degeneracy of the Landau levels (LLs) in the integer quantum Hall (QH) effect in graphene is studied in a low-energy model with the Coulomb interaction. The gap equation for Dirac quasiparticles is analyzed for both the lowest and higher LLs, taking into account the LL mixing. It is shown that the characteristic feature of the long-range Coulomb interaction is the dependence of the gap parameters on the LL index n ('running' gaps). The renormalization (running) of the Fermi velocity as a function of n is also studied. The solutions of the gap equation reproduce correctly the experimentally observed integer QH plateaus in graphene in strong magnetic fields.

UR - http://www.scopus.com/inward/record.url?scp=84858275042&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84858275042&partnerID=8YFLogxK

M3 - Conference contribution

VL - T146

BT - Physica Scripta T

ER -