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We derive an effective two-dimensional Hamiltonian to describe the low energy electronic excitations of a graphite bilayer, which correspond to chiral quasiparticles with a parabolic dispersion exhibiting Berry phase $2\pi$. Its…

介观与纳米尺度物理 · 物理学 2009-11-11 Edward McCann , Vladimir I. Fal'ko

Half-filled Landau levels admit the theoretically powerful fermion-vortex duality but longstanding puzzles remain in their experimental realization as $\nu_T=1$ quantum Hall bilayers, further complicated by Zheng et al's recent numerical…

强关联电子 · 物理学 2018-10-08 Ya-Hui Zhang , Itamar Kimchi

Near a magic twist angle, bilayer graphene transforms from a weakly correlated Fermi liquid to a strongly correlated two-dimensional electron system with properties that are extraordinarily sensitive to carrier density and to controllable…

介观与纳米尺度物理 · 物理学 2020-12-14 Eva Y. Andrei , Allan H. MacDonald

The state with a spontaneous interlayer phase coherence in a graphene based bilayer quantum Hall system is studied. This state can be considered as a gas of superfluid electron-hole pairs with the components of the pair belonging to…

超导电性 · 物理学 2009-12-23 D. V. Fil , L. Yu. Kravchenko

We demonstrate theoretically that the topology of energy bands and Fermi surface in bilayer graphene undergoes a very sensitive transition when extremely tiny lateral interlayer shift occurs in arbitrary directions. The phenomenon…

介观与纳米尺度物理 · 物理学 2011-10-17 Young-Woo Son , Seon-Myeong Choi , Yoon Pyo Hong , Sungjong Woo , Seung-Hoon Jhi

We report a theoretical study of the many-body effects of electron-electron interaction on the ground-state and spectral properties of double-layer graphene. Using a projector-based renormalization method we show that if a finite voltage…

强关联电子 · 物理学 2015-06-04 Van-Nham Phan , Holger Fehske

Neutral graphene in strong magnetic fields is believed to be an (exchange stabilized) integer Hall state of completely filled up spin (say) and empty down spin bands of n = 0, two fold valley degenerate Landau levels. We suggest that…

介观与纳米尺度物理 · 物理学 2007-05-23 G. Baskaran

A bilayer system of two-dimensional electron gases in a perpendicular magnetic field exhibits rich phenomena. At total filling factor $\nu_{tot} = 1$, as one increases the layer separation, the bilayer system goes from an interlayer…

介观与纳米尺度物理 · 物理学 2010-05-18 Yue Zou , Gil Refael , Ady Stern , J. P. Eisenstein

At a large displacement field, in rhomboedral and Bernal-stacked graphene a normal paramagnetic state transitions to a correlated state. Recent experiments showed that such systems have several phase transitions as a function of the carrier…

介观与纳米尺度物理 · 物理学 2023-03-31 Igor V. Blinov , Chunli Huang , Nemin Wei , Qin Wei , Tobias Wolf , Allan H. MacDonald

The quantum Hall effect near the charge neutrality point in bilayer graphene is investigated in high magnetic fields of up to 35 T using electronic transport measurements. In the high field regime, the eight-fold degeneracy in the zero…

介观与纳米尺度物理 · 物理学 2015-05-14 Y. Zhao , P. Cadden-Zimansky , Z. Jiang , P. Kim

In two-dimensional (2D) electron systems under strong magnetic fields, interactions can cause fractional quantum Hall (FQH) effects. Bringing two 2D conductors to proximity, a new set of correlated states can emerge due to interactions…

介观与纳米尺度物理 · 物理学 2020-07-17 Xiaomeng Liu , Zeyu Hao , Kenji Watanabe , Takashi Taniguchi , Bertrand Halperin , Philip Kim

Unlike regular electron spin, the pseudospin degeneracy of Fermi points in graphene does not couple directly to magnetic field. Therefore, graphene provides a natural vehicle to observe the integral and fractional quantum Hall physics in an…

强关联电子 · 物理学 2009-11-11 Csaba Toke , Paul E. Lammert , Jainendra K. Jain , Vincent H. Crespi

We use a lowest Landau level model to study the recent observation of an anomalous Hall effect in twisted bilayer graphene. This effective model is rooted in the occurrence of Chern bands which arise due to the coupling between the graphene…

强关联电子 · 物理学 2020-04-28 Nick Bultinck , Shubhayu Chatterjee , Michael P. Zaletel

One of the most spectacular experimental findings in the fractional quantum Hall effect is evidence for an emergent Fermi surface when the electron density is nearly half the density of magnetic flux quanta ($\nu = 1/2$). The seminal work…

Semiconductor double-layers in the quantum Hall regime tend to have superfluid exciton condensate ground states when the total filling factor is an odd integer, provided that the Landau orbitals at the Fermi level in the two layers have the…

强关联电子 · 物理学 2019-03-07 Ming Xie , Allan H. MacDonald

While an ordinary Fermi sea is perturbatively robust to interactions, the paradigmatic composite-fermion (CF) Fermi sea arises as a non-perturbative consequence of emergent gauge fields in a system where there was no Fermi sea to begin…

强关联电子 · 物理学 2015-11-02 Ajit C. Balram , Csaba Tőke , J. K. Jain

We study fractional quantum Hall states in double layer systems that can be interpreted as exciton condensates of composite fermions. An electron in one layer is dressed by two fluxes from the same layer and two fluxes from the other layer…

强关联电子 · 物理学 2025-06-17 Xiang-Jian Hou , Lei Wang , Ying-Hai Wu

Fractional Quantum Hall effect (FQHE) is a unique many-body phenomenon, which was discovered in a two-dimensional electron system placed in a strong perpendicular magnetic field. It is entirely due to the electron-electron interactions…

介观与纳米尺度物理 · 物理学 2022-07-15 Vadym Apalkov , Tapash Chakraborty

We consider an electron-hole bilayer in the limit of extreme density imbalance, where we have a single particle in one layer interacting attractively with a Fermi liquid in the other parallel layer. Using an appropriate variational wave…

强关联电子 · 物理学 2011-08-05 Meera M. Parish , Francesca M. Marchetti , Peter B. Littlewood

The physics of the state at even denominator fractional fillings of Landau levels depends on the Coulomb pseudopotentials, and produces, in different GaAs Landau levels, a composite fermion Fermi sea, a stripe phase, or, possibly, a paired…

介观与纳米尺度物理 · 物理学 2009-11-13 Csaba Toke , Jainendra K. Jain