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The co-presence of multiple Dirac bands in few-layer graphene leads to a rich phase diagram in the quantum Hall regime. Using transport measurements, we map the phase diagram of BN-encapsulated ABA-stacked trilayer graphene as a function…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Petr Stepanov , Yafis Barlas , Tim Espiritu , Shi Che , Kenji Watanabe , Takashi Taniguchi , Dmitry Smirnov , Chun Ning Lau

Following a suggestion given in Phys. Lett. B 571 (2003) 250, we show how a bilayer Quantum Hall system at fillings nu =m/pm+2 can exhibit a point-like topological defect in its edge state structure. Indeed our CFT theory for such a system,…

High Energy Physics - Theory · Physics 2011-02-16 Gerardo Cristofano , Vincenzo Marotta , Adele Naddeo , Giuliano Niccoli

We investigate the interplay of disorder and interaction in two-dimensional electron systems in a strong magnetic field, focusing on the transition between Wigner crystals and fractional quantum Hall liquids. We first study classical Wigner…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Ke Huang , Sankar Das Sarma , Xiao Li

We study a magnetic impurity intercalated in bilayer graphene. A representative configuration generates a hybridization function with strong dependence on the conduction-electron energy, including a full gap with one hard and one soft edge.…

Strongly Correlated Electrons · Physics 2014-07-22 Diego Mastrogiuseppe , Arturo Wong , Kevin Ingersent , Sergio Ulloa , Nancy Sandler

Coupled quantum Hall edge channels show intriguing non-trivial modes, for example, charge and neutral modes at Landau level filling factors 2 and 2/3. We propose an appropriate and effective model with Coulomb interaction and…

Mesoscale and Nanoscale Physics · Physics 2021-08-10 Toshimasa Fujisawa , Chaojing Lin

Here we report from our theoretical studies that in biased bilayer graphene, one can induce phase transitions from an incompressible state to a compressible state by tuning the bandgap at a given electron density. Likewise, variation of the…

Materials Science · Physics 2010-03-02 Vadim M. Apalkov , Tapash Chakraborty

We construct an effective conformal field theory by using a procedure which induces twisted boundary conditions for the fundamental scalar fields. That allows to describe a quantum Hall fluid at Jain hierarchical filling, nu=m/(2pm+1), in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Cristofano , G. Maiella , V. Marotta

We consider a bilayer quantum Hall system at total filling fraction nu=2 in tilted magnetic field allowing for charge imbalance as well as tunneling between the two layers. Using an "unrestricted Hartree Fock," previously discussed by…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anna Lopatnikova , Steven H. Simon , Eugene Demler

We demonstrate the emergence of the quantum Hall (QH) hierarchy in a 2D model of coupled quantum wires in a perpendicular magnetic field. At commensurate values of the magnetic field, the system can develop instabilities to appropriate…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. L. Kane , Ranjan Mukhopadhyay , T. C. Lubensky

The phase diagram of integer quantum Hall effect is numerically determined in the tight-binding model, which can account for overall features of recently obtained experimental phase diagram. In particular, the quantum Hall plateaus are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. N. Sheng , Z. Y. Weng

We find that the behaviors of the voltage-current characteristics as one enters the low-density insulating state and integer quantum Hall insulating states in the ultra-clean two-dimensional electron system in SiGe/Si/SiGe quantum wells are…

Strongly Correlated Electrons · Physics 2025-10-22 M. Yu. Melnikov , D. G. Smirnov , A. A. Shashkin , S. -H. Huang , C. W. Liu , S. V. Kravchenko

We study the ground state structure of electronic-like bilayers, where different phases compete upon changing the inter-layer separation or particle density. New series representations with exceptional convergence properties are derived for…

Strongly Correlated Electrons · Physics 2015-06-05 L. Samaj , E. Trizac

Multicomponent quantum Hall systems with internal degrees of freedom provide a fertile ground for the emergence of exotic quantum liquids. Here we investigate the possibility of non-Abelian topological order in the half-filled fractional…

Strongly Correlated Electrons · Physics 2017-01-04 W. Zhu , Zhao Liu , F. D. M. Haldane , D. N. Sheng

We study the quantum valley Hall effect and related domain wall modes in twisted bilayer graphene at a large commensurate angle. Due to the quantum valley and sub-valley Hall effect, a small deviation from the commensurate angle generates…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 Chiranjit Mondal , Rasoul Ghadimi , Bohm-Jung Yang

We discuss the composite fermion pairing state in bilayer quantum Hall systems. After the evaluation of the range of the inter-layer separation in which the quantum Hall state is stabilized, we discuss the effect of inter-layer tunneling on…

Mesoscale and Nanoscale Physics · Physics 2012-03-02 Takao Morinari

We report tunneling phenomena in double In$_{0.53}$Ga$_{0.47}$As quantum-well structures that are at odds with the conventional parallel-momentum-conserving picture of tunneling between two-dimensional systems. We found that the tunneling…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Y. Lin , J. Nitta , ; A. K. M. Newaz , W. Song , E. E. Mendez

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

Measurements in GaAs hole bilayers with unequal layer densities reveal a pronounced magneto-resistance hysteresis at the magnetic field positions where either the majority or minority layer is at Landau level filling factor one. At a fixed…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Tutuc , R. Pillarisetty , S. Melinte , E. P. De Poortere , M. Shayegan

We study ring shaped (Corbino) devices made of bilayer two-dimensional electron gases in the total filling factor one quantized Hall phase which is considered to be a coherent BCS-like state of interlayer excitons. Identical Josephson…

Mesoscale and Nanoscale Physics · Physics 2014-08-05 X. Huang , W. Dietsche , M. Hauser , K. von Klitzing

The semi-classical study of the integer Quantum Hall conductivity is investigated for electrons in a bi-periodic potential $V(x,y)$. The Hall conductivity is due to the tunnelling effect and we concentrate our study to potentials having…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Frederic Faure , Bernard Parisse
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