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We study the Josephson-like interlayer tunneling signature of the strongly correlated $\nu_T = 1$ quantum Hall phase in bilayer two-dimensional electron systems as a function of the layer separation, temperature and interlayer charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. R. Champagne , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We develop a non-perturbative bosonization approach for bilayer quantum Hall systems at \nu_T = 1, which allows us to systematically study the existence of an exciton condensate in these systems. An effective boson model is derived and the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. L. Doretto , A. O. Caldeira , C. Morais Smith

Controlling the coupling between different degrees of freedom in many-body systems is a powerful technique for engineering novel phases of matter. We create a bilayer system of two-dimensional (2D) ultracold Bose gases and demonstrate the…

We discuss and review recent advances in our understaning of quantum Hall systems where additional quantum numbers associated with spin and/or layer (pseudospin) indices play crucial roles in creating exotic quantum phases. Among the novel…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sankar Das Sarma , Eugene Demler

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

In a bilayer electronic system the layer index may be viewed as the z-component of an isospin-1/2. An XY isospin-ordered ferromagnetic phase was observed in quantum Hall systems and is predicted to exist at zero magnetic field at low…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ady Stern , S. Das Sarma , Matthew P. A. Fisher , S. M. Girvin

We study the influence of quantizing perpendicular magnetic fields on the ground state of a bilayer with electron and hole fluids separated by an opaque tunnel barrier. In the absence of a field, the ground state at low carrier densities is…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Bo Zou , Yongxin Zeng , A. H. MacDonald , Artem Strashko

The natures of the ground state in a $\nu_{\rm T}=1$ bilayer quantum Hall system at a variety of layer spacing are investigated. At small layer separations the system exhibits spontaneous interlayer phase coherence. It is claimed that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kentaro Nomura , Daijiro Yoshioka

The Hall-plateau width and the activation energy were measured in the bilayer quantum Hall state at filling factor \nu=2, 1 and 2/3, by changing the total electron density and the density ratio in the two quantum wells. Their behavior are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Sawada , Z. F. Ezawa , H. Ohno , Y. Horikoshi , Y. Ohno , S. Kishimoto , F. Matsukura , M. Yasumoto , A. Urayama

We study the entanglement spectra of bilayer quantum Hall systems at total filling factor nu=1. In the interlayer-coherent phase at layer separations smaller than a critical value, the entanglement spectra show a striking similarity to the…

Mesoscale and Nanoscale Physics · Physics 2011-03-22 John Schliemann

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

This tutorial paper reviews some of the physics of quantum Hall bilayers with a focus on the case where there is low or zero tunnelling between the two layers. We describe the interlayer coherent states at filling factors nu=1 and nu=2 as…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Steven H. Simon

The ground states of electrons in two vertically coupled quantum dots in the presence of an external magnetic field have been studied within the density functional theory. A phase diagram of the transition to the quantum Hall state in…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 A. A. Vasilchenko

The zero-bias tunneling resonance in quantum Hall bilayer systems is investigated via numerical simulations of the classical two dimensional XY model with a symmetry-breaking field. Disorder is included in the model, and is shown to…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 H. A. Fertig , Joseph P. Straley

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

We study interacting GaAs hole bilayers in the limit of zero tunneling. When the layers have equal densities, we observe a phase coherent bilayer quantum Hall (QH) state at total filling factor $\nu=1$, flanked by insulating phases at…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. Tutuc , S. Melinte , E. P. De Poortere , R. Pillarisetty , M. Shayegan

We study the transport properties of the quantum Hall bilayers systems looking closely at the effect that disorder and electron-phonon interaction have on the interlayer tunnelling current in the presence of an in-plane magnetic field…

Strongly Correlated Electrons · Physics 2010-02-25 O. G. C. Ros , D. K. K. Lee

We present the quantitative phase diagram of the bilayer bosonic fractional quantum Hall system on the torus geometry at total filling factor $\nu=1$ in the lowest Landau level. We consider short-range interactions within and between the…

Strongly Correlated Electrons · Physics 2016-03-11 Zhao Liu , Abolhassan Vaezi , Cécile Repellin , Nicolas Regnault

We investigate theoretically the phase coherence of electron transport in edge states of the integer quantum Hall effect at filling factor $\nu=2$, in the presence of disorder and inter-edge state Coulomb interaction. Within a Fokker-Planck…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Simon E. Nigg , Anders Mathias Lunde

We measured the magnetoresistance of bilayer quantum Hall (QH) effects at the fractional filling factor $\nu =2/3$ by changing the total electron density and the density difference between two layers. Three different QH states were…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Kumada , D. Terasawa , Y. Shimoda , H. Azuhata , A. Sawada , Z. F. Ezawa , K. Muraki , T. Saku , Y. Hirayama