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The intriguing re-entrant integer quantized Hall states recently discovered in high Landau levels of high-mobility 2D electron systems are found to exhibit extremely non-linear transport. At small currents these states reflect insulating…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. B. Cooper , M. P. Lilly , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We consider Coulomb drag between two layers of two-dimensional electron gases subject to a strong magnetic field, with the Landau level filling factor in each layer being 1/2. We find $\rho_D$ to be very large, as compared to the zero…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ady Stern , Iddo Ussishkin

Equilibration of quantum Hall edges is studied in a high quality dual gated bilayer graphene device in both unipolar and bipolar regime when all the degeneracies of the zero energy Landau level are completely lifted. We find that in the…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Chandan Kumar , Saurabh Kumar Srivastav , Anindya Das

Topological and crystalline orders of electrons both benefit from enhanced Coulomb interactions in partially filled Landau levels. In bilayer graphene (BLG), the competition between fractional quantum Hall liquids and electronic crystals…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 André Haug , Ravi Kumar , Tomer Firon , Misha Yutushui , Kenji Watanabe , Takashi Taniguchi , David F. Mross , Yuval Ronen

Two-component fractional quantum Hall (2C-FQH) states in electron bilayers have been known for decades, yet their experimental realization remained limited to low-order fractions. Here we report on several families of high-order 2C-FQH…

Mesoscale and Nanoscale Physics · Physics 2025-12-04 E. Bell , K. W. Baldwin , L. N. Pfeiffer , K. W. West , M. A. Zudov

We study the phase diagram of quantum Hall bilayer systems with total filing $\nu_T=1/2+1/2$ of the lowest Landau level as a function of layer distances $d$. Based on numerical exact diagonalization calculations, we obtain three distinct…

Strongly Correlated Electrons · Physics 2017-10-25 Zheng Zhu , Liang Fu , D. N. Sheng

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…

Superconductivity · Physics 2009-12-23 D. V. Fil , L. Yu. Kravchenko

We report on magneto-transport studies of dual-gated, Bernal-stacked trilayer graphene (TLG) encapsulated in boron nitride crystals. We observe a quantum Hall effect staircase which indicates a complete lifting of the twelve-fold degeneracy…

Bilayer graphene in a magnetic field supports eight zero-energy Landau levels, which, as a tunable band gap develops, evolve into two nearly-degenerate quartets separated by the band gap. A close look is made into the properties of such an…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 K. Shizuya

Using first principles methods, we investigate topological phase transitions as a function of exchange field in a Bi(111) bilayer. Evaluation of the spin Chern number for different magnitudes of the exchange field reveals that when the time…

Materials Science · Physics 2013-08-22 Hongbin Zhang , Frank Freimuth , Gustav Bihlmayer , Stefan Blügel , Yuriy Mokrousov

ABC-stacked trilayer graphene's chiral band structure results in three ($n=0,1,2$) Landau level orbitals with zero kinetic energy. This unique feature has important consequences on the interaction driven states of the 12-fold degenerate…

Mesoscale and Nanoscale Physics · Physics 2012-09-20 Yafis Barlas , R. Cote , Maxime Rondeau

A magnetic field applied perpendicularly to the chiral two-dimensional electron gas (C2DEG)\ in a Bernal-stacked bilayer graphene quantizes the kinetic energy into a discrete set of Landau levels $N=0,\pm 1,\pm 2,...$ While Landau level…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Wenchen Luo , R. Côté , Alexandre Bédard-Vallée

For sufficiently strong in-plane magnetic field a $\nu_T=1$ bilayer quantum Hall pseudo-ferromagnet is expected to exhibit a soliton lattice. For sufficiently close layers and large in-plane field, we predict this incommensurate ``planar''…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Leo Radzihovsky

A single Landau level (LL) dressed with periodic electrostatic potentials can realize a plethora of interacting topological phases where the Hall conductivity generally does not equal to the LL filling factor. Their physics can be captured…

Strongly Correlated Electrons · Physics 2026-04-07 Bo Peng , Yuzhu Wang , Bo Yang

Quasiperiodically driven fermionic systems can support topological phases not realized in equilibrium. The fermions are localized in the bulk, but support quantized energy currents at the edge. These phases were discovered through an…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 David M. Long , Philip J. D. Crowley , Anushya Chandran

The quantum Hall system can be used to study many-body physics owing to its multiple internal electronic degrees of freedom and tunability. While quantum phase transitions have been studied intensively, research on the temperature-induced…

Mesoscale and Nanoscale Physics · Physics 2022-02-25 Miuko Tanaka , Kenji Watanabe , Takashi Taniguchi , Kentaro Nomura , Seigo Tarucha , Michihisa Yamamoto

We present the global topological phase diagram of a two-dimensional electron gas placed in a quantizing magnetic field and proximitized by a superconducting vortex lattice. Our theory allows for arbitrary ratios of the pairing amplitude,…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Daniil S. Antonenko , Liang Fu , Leonid I. Glazman

We study the behavior of the extended states of a two-dimensional electron system in silicon in a magnetic field, B. Our results show that the extended states, corresponding to the centers of different Landau levels, merge with the lowest…

Condensed Matter · Physics 2016-08-31 S. V. Kravchenko , Whitney Mason , J. E. Furneaux , V. M. Pudalov

We report on transport measurements of dual-gated, single-layer graphene devices in the quantum Hall regime, allowing for independent control of the filling factors in adjoining regions. Progress in device quality allows us to study…

Mesoscale and Nanoscale Physics · Physics 2014-05-15 F. Amet , J. R. Wiliams , K. Watanabe , T. Taniguchi , D. Goldhaber-Gordon

Field Induced Spin Density Wave (FISDW) systems exhibit coexistence phases between well defined quantum Hall plateau phases with even integers 2N and 2N'. We show that a disordered coexistence region accounts for the observed peaks in the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Pascal Lederer , Baruch Horovitz