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The possibility of the existence of states with a spontaneous interlayer phase coherence in multilayer electron systems in a high perpendicular to the layers magnetic field is investigated. It is shown that phase coherence can be…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. I. Shevchenko , D. V. Fil , A. A. Yakovleva

I review recent novel experimental and theoretical advances in the physics of quantum Hall effect bilayers. Of particular interest is a broken symmetry state which optimizes correlations by putting the electrons into a coherent…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 S. M. Girvin

We present and solve a model for the vortex configuration of a disordered quantum Hall bilayer in the limit of strong and smooth disorder. We argue that there is a characteristic disorder strength below which vortices will be rare, and…

Mesoscale and Nanoscale Physics · Physics 2009-07-04 P. R. Eastham , N. R. Cooper , D. K. K. Lee

Twisted bilayer graphene offers a unique bilayer two-dimensional-electron system where the layer separation is only in sub-nanometer scale. Unlike Bernal-stacked bilayer, the layer degree of freedom is disentangled from spin and valley,…

Mean-field theory predicts that bilayer quantum Hall systems at odd integer total filling factors can have stripe ground states in which the top Landau level is occupied alternately by electrons in one of the two layers. We report on an…

Strongly Correlated Electrons · Physics 2009-11-07 Emiliano Papa , John Schliemann , Allan H. MacDonald , Matthew P. A. Fisher

At small layer separations, the ground state of a nu=1 bilayer quantum Hall system exhibits spontaneous interlayer phase coherence and has a charged-excitation gap E_g. The evolution of this state with increasing layer separation d has been…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John Schliemann , S. M. Girvin , A. H. MacDonald

We report on a study of a bilayer two-dimensional electron gas at Landau level filling factor $\nu=2$. The system exhibits both magnetic and spontaneous interlayer phase coherence broken symmetries. We propose a 3-parameter Slater…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. H. MacDonald , R. Rajaraman , T. Jungwirth

The interplay between quantum Hall ordering and spontaneously broken "internal" symmetries in two-dimensional electron systems with spin or pseudospin degrees of freedom gives rise to a variety of interesting phenomena, including novel…

Mesoscale and Nanoscale Physics · Physics 2010-07-22 D. A. Abanin , S. A. Parameswaran , S. A. Kivelson , S. L. Sondhi

The non-interacting energy spectrum of graphene and its bilayer counterpart consists of multiple degeneracies owing to the inherent spin, valley and layer symmetries. Interactions among charge carriers are expected to spontaneously break…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 R. Thomas Weitz , Monica T. Allen , Benjamin E. Feldman , Jens Martin , Amir Yacoby

It is shown that the homogeneous state of the spatially separated electrons and holes in the coupled quantum wells (CQW) is instable if the layer charge density is smaller than the critical value specified by the parameters of the CQW. The…

Mesoscale and Nanoscale Physics · Physics 2014-12-22 V. S. Babichenko , I. Ya. Polishchuk , A. I. Pavlov , A. Guseynov , M. I. Gozman

We consider a number of strongly-correlated quantum Hall states which are likely to be realized in bilayer quantum Hall systems at total Landau level filling fraction ${\nu_T}=1$. One state, the $(3,3,-1)$ state, can occur as an instability…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yong Baek Kim , Chetan Nayak , Eugene Demler , N. Read , S. Das Sarma

At total filling factor $\nu=1$ quantum Hall bilayers can have an ordered ground state with spontaneous interlayer phase coherence. The ordered state is signaled experimentally by dramatically enhanced interlayer tunnel conductances at low…

Mesoscale and Nanoscale Physics · Physics 2012-12-06 Jung-Jung Su , Allan H. MacDonald

In the bilayer quantum Hall system, a spontaneously charge imbalance state appears at the ground energy level. Gap in the collective excitation energy makes it stable against decoherence in macroscopic level. This state behaves as a spin…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Takeshi Inagaki

We use high-mobility bilayer hole systems with negligible tunneling to examine how the bilayer nu = 1 quantum Hall state evolves as charge is transferred from one layer to the other at constant total density. We map bilayer nu = 1 state…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 W. R. Clarke , A. P. Micolich , A. R. Hamilton , M. Y. Simmons , C. B. Hanna , J. R. Rodriguez , M. Pepper , D. A. Ritchie

At strong magnetic fields double-layer two-dimensional-electron-gas systems can form an unusual broken symmetry state with spontaneous inter-layer phase coherence. The system can be mapped to an equivalent system of pseudospin $1/2$…

Condensed Matter · Physics 2009-10-28 Kun Yang , K. Moon , Lotfi Belkhir , H. Mori , S. M. Girvin , A. H. MacDonald , L. Zheng , D. Yoshioka

We study effects of tilted magnetic fields on energy levels in a double-quantum-well (DQW) system, focusing on the coupling of subbands and Landau levels (LLs). The subband-LL coupling induces anticrossings between LLs, manifested directly…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. Kumada , K. Iwata , K. Tagashira , Y. Shimoda , K. Muraki , Y. Hirayama , A. Sawada

Bilayer quantum Hall systems can form collective states in which electrons exhibit spontaneous interlayer phase coherence. We discuss the possibility of using bilayer quantum dot many-electron states with this property to create two-level…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. -R. Eric Yang , John Schliemann , A. H. MacDonald

We have studied the fractional and integer quantum Hall (QH) effects in a high-mobility double-layer two-dimensional electron system. We have compared the "stability" of the QH state in balanced and unbalanced double quantum wells. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. Sawada , Z. F. Ezawa , H. Ohno , Y. Horikoshi , O. Sugie , S. Kishimoto , F. Matsukura , Y. Ohno , M. Yasumoto

Bilayer quantum Hall systems develop strong interlayer phase-coherence when the distance between layers is comparable to the typical distance between electrons within a layer. The phase-coherent state has until now been investigated…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Alexander V. Balatsky , Allan H. MacDonald

Symmetry breaking in a quantum system often leads to complex emergent behavior. In bilayer graphene (BLG), an electric field applied perpendicular to the basal plane breaks the inversion symmetry of the lattice, opening a band gap at the…

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