### Abstract

For bilayer graphene in a magnetic field at the neutral point, we derive and solve a full set of gap equations including all Landau levels and taking into account the dynamically screened Coulomb interaction. There are two types of the solutions for the filling factor ν=0: (i) a spin-polarized type solution, which is the ground state at small values of perpendicular electric field E _{⊥}, and (ii) a layer-polarized solution, which is the ground state at large values of E _{⊥}. The critical value of E _{⊥} that determines the transition point is a linear function of the magnetic field, i.e., E _{⊥,cr}=E⊥off+aB, where E⊥off is the offset electric field and a is the slope. The offset electric field and energy gaps substantially increase with the inclusion of dynamical screening compared to the case of static screening. The obtained values for the offset and the energy gaps are comparable with experimental ones. The interaction with dynamical screening can be strong enough for reordering the levels in the quasiparticle spectrum (the n=2 Landau level sinks below the n=0 and n=1 ones).

Original language | English (US) |
---|---|

Article number | 235460 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 85 |

Issue number | 23 |

DOIs | |

State | Published - Jun 28 2012 |

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### ASJC Scopus subject areas

- Condensed Matter Physics
- Electronic, Optical and Magnetic Materials

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*85*(23), [235460]. https://doi.org/10.1103/PhysRevB.85.235460

**Broken symmetry ν=0 quantum Hall states in bilayer graphene : Landau level mixing and dynamical screening.** / Gorbar, E. V.; Gusynin, V. P.; Miransky, V. A.; Shovkovy, Igor.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 85, no. 23, 235460. https://doi.org/10.1103/PhysRevB.85.235460

}

TY - JOUR

T1 - Broken symmetry ν=0 quantum Hall states in bilayer graphene

T2 - Landau level mixing and dynamical screening

AU - Gorbar, E. V.

AU - Gusynin, V. P.

AU - Miransky, V. A.

AU - Shovkovy, Igor

PY - 2012/6/28

Y1 - 2012/6/28

N2 - For bilayer graphene in a magnetic field at the neutral point, we derive and solve a full set of gap equations including all Landau levels and taking into account the dynamically screened Coulomb interaction. There are two types of the solutions for the filling factor ν=0: (i) a spin-polarized type solution, which is the ground state at small values of perpendicular electric field E ⊥, and (ii) a layer-polarized solution, which is the ground state at large values of E ⊥. The critical value of E ⊥ that determines the transition point is a linear function of the magnetic field, i.e., E ⊥,cr=E⊥off+aB, where E⊥off is the offset electric field and a is the slope. The offset electric field and energy gaps substantially increase with the inclusion of dynamical screening compared to the case of static screening. The obtained values for the offset and the energy gaps are comparable with experimental ones. The interaction with dynamical screening can be strong enough for reordering the levels in the quasiparticle spectrum (the n=2 Landau level sinks below the n=0 and n=1 ones).

AB - For bilayer graphene in a magnetic field at the neutral point, we derive and solve a full set of gap equations including all Landau levels and taking into account the dynamically screened Coulomb interaction. There are two types of the solutions for the filling factor ν=0: (i) a spin-polarized type solution, which is the ground state at small values of perpendicular electric field E ⊥, and (ii) a layer-polarized solution, which is the ground state at large values of E ⊥. The critical value of E ⊥ that determines the transition point is a linear function of the magnetic field, i.e., E ⊥,cr=E⊥off+aB, where E⊥off is the offset electric field and a is the slope. The offset electric field and energy gaps substantially increase with the inclusion of dynamical screening compared to the case of static screening. The obtained values for the offset and the energy gaps are comparable with experimental ones. The interaction with dynamical screening can be strong enough for reordering the levels in the quasiparticle spectrum (the n=2 Landau level sinks below the n=0 and n=1 ones).

UR - http://www.scopus.com/inward/record.url?scp=84863309799&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84863309799&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.85.235460

DO - 10.1103/PhysRevB.85.235460

M3 - Article

AN - SCOPUS:84863309799

VL - 85

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 23

M1 - 235460

ER -