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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

We report on a theoretical study of $\nu=2$ bilayer quantum Hall systems with a magnetic field that has a component parallel to the layers. As in the $\nu=1$ case, interlayer phase coherence is closely coupled to electron correlations and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. A. Burkov , A. H. MacDonald

Bilayer quantum Hall system at total filling factor $\nu=1$ shows a rich variety of broken symmetry ground states because of the competition between the interlayer and intralayer Coulomb interactions. When the layers are sufficiently close,…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yogesh N. Joglekar , Allan H. MacDonald

The electromagnetic characteristics of bilayer quantum Hall systems in the presence of interlayer coherence and tunneling are studied by means of a pseudospin-texture effective theory and an algebraic framework of the single-mode…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Shizuya

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 calculate the tunneling current in a quantum Hall bilayer system in the strong magnetic field limit. We model the bilayer electron system as two Wigner crystals coupled through interlayer Coulomb interactions, treated in the continuum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. D. Klironomos , A. T. Dorsey

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

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

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

Tunneling and Coulomb drag are sensitive probes of spontaneous interlayer phase coherence in bilayer two-dimensional electron systems at total Landau level filling factor $\nu_T = 1$. We find that the phase boundary between the interlayer…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. B. Spielman , M. Kellogg , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

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

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

We present a theory for the regime of coherent interlayer tunneling in a disordered quantum Hall bilayer at total filling factor one, allowing for the effect of static vortices. We find that the system consists of domains of polarized…

Mesoscale and Nanoscale Physics · Physics 2011-07-06 D. K. K. Lee , P. R. Eastham , N. R. Cooper

Filling factor $\nu=1$ incompressible states in ideal bilayer quantum Hall systems have spontaneous interlayer phase coherence and can be regarded either as easy-plane pseudospin ferromagnets or as condensates of excitons formed from…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anton A. Burkov , Yogesh N. Joglekar , Enrico Rossi , Allan H. MacDonald

We study bilayer quantum Hall systems at total Landau level filling factor $\nu=1$ in the presence of interlayer tunneling and coupling to a dissipative normal fluid. Describing the dynamics of the interlayer phase by an effective quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Ziqiang Wang

We consider bilayer quantum Hall systems at total filling factor $\nu=1$ in presence of a bias voltage $\Delta_v$ which leads to different filling factors in each layer. We use auxiliary field functional integral approach to study…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yogesh N. Joglekar , Allan H. MacDonald

We consider a fully spin-polarized quantum Hall system with no interlayer tunneling at total filling factor $\nu=1/k$ (where $k$ is an odd integer) using the Chern-Simons-Ginzburg-Landau theory. Exploiting particle-vortex duality and the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eugene Demler , Chetan Nayak , Sankar Das Sarma

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

We investigate the ground-state structure of the bilayer quantum Hall system at the filling factor $\nu =2$. Making an exact analysis of the ground state in the SU(4)-invariant limit, we include all other interactions as small perturbation.…

Strongly Correlated Electrons · Physics 2009-11-11 Z. F. Ezawa , M. Eliashvili , G. Tsitsishvili

We argue that all anomalous transport properties of coherent quantum quantum Hall bilayers can be understood in terms of a mean-field transport theory in which the condensate phase is nearly uniform across the sample, and the strength of…

Mesoscale and Nanoscale Physics · Physics 2014-11-04 I. Sodemann , H. Chen , A. H. MacDonald
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