Quantum Hall ferromagnetic phases in the Landau level N=0 of a graphene bilayer

Abstract

In a Bernal-stacked graphene bilayer, an electronic state in Landau level is described by its guiding-center index $X$ (in the Landau gauge) and by its valley, spin, and orbital indices $\xi =\pm K,\sigma =\pm 1,$ and When Coulomb interaction is taken into account, the chiral two-dimensional electron gas (C2DEG) in this system can support a variety of quantum Hall ferromagnetic (QHF)\ ground states where the spins and/or valley pseudospins and/or orbital pseudospins collectively align in space. In this work, we give a comprehensive account of the phase diagram of the C2DEG at integer filling factors $\nu \in [-3,3]$ in Landau level N=0 when an electrical potential difference ${\Delta }_B$ between the two layers is varied. We consider states with or without layer, spin, or orbital coherence. For each phase, we discuss the behavior of the transport gap as a function of ${\Delta }_B,$ the spectrum of collective excitations and the optical absorption due to orbital pseudospin-wave modes. We also study the effect of an external in-plane electric field on a coherent state that has both valley and spin coherence and show that it is possible, in such a state, to control the spin polarization by varying the strength of the external in-plane electric field.

21 pages, 13 eps figures

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• Energy gaps and layer polarization of integer and fractional quantum Hall states in bilayer graphene
• Spin-Valley Coherent Phases of the $\nu =0$ Quantum Hall State in Bilayer Graphene
• SU(4) spin waves in the $\nu =\pm 1$ quantum Hall ferromagnet in graphene
• Tunable Quantum Hall Edge Conduction in Bilayer Graphene through Spin-Orbit Interaction
• Phase diagram of a graphene bilayer in the zero-energy Landau level
• Symmetry characterization of the collective modes of the phase diagram of the $\nu =0$ quantum Hall state in graphene: Mean-field and spontaneously broken symmetries
• Validity of the two-band model of bilayer and trilayer graphene in a magnetic field
• Spin-valley Hall transport induced by spontaneous symmetry breaking in half-filled zero Landau level of bilayer graphene
• Landau Levels of Bilayer Graphene in a WSe${}_2$/Bilayer Graphene van der Waals Heterostructure
• Transport gap and hysteretic behavior of the Ising quantum Hall ferromagnets in Landau levels $\left|N\right|>0$ of bilayer graphene
• Ising quantum Hall ferromagnetism in Landau levels $\left|N\right|\ge 1$ of bilayer graphene
• Spectroscopic Characterization of Landau Level Splitting and the Intermediate v = 0 Phase in Bilayer Graphene
• Quantum Hall ferroelectric helix in bilayer graphene
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• Quantum Hall ferromagnets and transport properties of buckled Dirac materials
• Landau Level Phases in Bilayer Graphene under Pressure at Charge Neutrality
• Infrared spectroscopy of phase transitions in the lowest Landau levels of bilayer graphene
• Interaction-driven quantum phase transitions between topological and crystalline orders of electrons
• Temperature-induced phase transitions in the quantum Hall magnet of bilayer graphene
• Orbital mixing in few-layer graphene and non-Abelian Berry phase
• Uniquely identifying quantum Hall phases in charge neutral graphene