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A bilayer system of two-dimensional electron gases in a perpendicular magnetic field exhibits rich phenomena. At total filling factor $\nu_{tot} = 1$, as one increases the layer separation, the bilayer system goes from an interlayer…

Mesoscale and Nanoscale Physics · Physics 2010-05-18 Yue Zou , Gil Refael , Ady Stern , J. P. Eisenstein

We present an effective Hamiltonian for a bilayer quantum Hall system at filling factor $\nu=1$ neglecting charge fluctuations. Our model is formulated in terms of spin and pseudospin operators and is an exact representation of the system…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Anton Burkov , John Schliemann , A. H. MacDonald , S. M. Girvin

Inter-layer excitonic coherence in a quantum Hall bilayer with negligible tunneling is monitored by measurements of low-lying spin excitations. At $\nu_T =1$ new quasiparticle excitations are observed above a transition temperature…

Other Condensed Matter · Physics 2009-07-24 Biswajit Karmakar , Vittorio Pellegrini , Aron Pinczuk , Loren N. Pfeiffer , Ken W. West

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

There is considerable experimental evidence for the existence in Quantum Hall systems of an approximate emergent discrete symmetry, $\Gamma_0(2) \subset SL(2,Z)$. The evidence consists of the robustness of the tests of a suite a predictions…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. P. Burgess , B. P. Dolan

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

We demonstrate theoretically that a coherent manipulation of electron spins in low-dimensional semiconductor structures with spin-orbit coupling by infrared radiation is possible. The proposed approach is based on using a dipole force…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 E. Ya. Sherman , J. G. Muga , V. K. Dugaev , A. Ruschhaupt

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

Band-inverted electron-hole bilayers support quantum spin Hall insulator and exciton condensate phases. We investigate such a bilayer in an external magnetic field. We show that the interlayer correlations lead to formation of a helical…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 D. I. Pikulin , P. G. Silvestrov , T. Hyart

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

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

Bilayer quantum Hall states at $\nu =1$ have been demonstrated to possess a distinguished state with interlayer phase coherence. The state has both excitations of Skyrmion with spin and pseudoSkyrmion with pseudospin. We show that Skyrmion…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Aiichi Iwazaki

We provide a theoretical framework for the electric field control of the electron spin in systems with diffusive electron motion. The approach is valid in the experimentally important case where both intrinsic and extrinsic spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-09-10 R. Raimondi , P. Schwab

Double layer quantum Hall systems have interesting properties associated with interlayer correlations. At $\nu =1/m$ where $m$ is an odd integer they exhibit spontaneous symmetry breaking equivalent to that of spin $1/2$ easy-plane…

Condensed Matter · Physics 2009-10-22 Kun Yang , K. Moon , L. Zheng , A. H. MacDonald , S. M. Girvin , D. Yoshioka , Shou-Cheng Zhang

The average electron spin-polarization $\cal P$ of two-dimensional electron gas confined in $\rm GaAs/GaAlAs$ multiple quantum-wells was measured by nuclear magnetic resonance (NMR) near the fractional quantum Hall state with filling factor…

Mesoscale and Nanoscale Physics · Physics 2019-08-17 N. Freytag , Y. Tokunaga , M. Horvatic , C. Berthier , M. Shayegan , L. Levy

Spin-orbit coupling in semiconductors relates the spin of an electron to its momentum and provides a pathway for electrically initializing and manipulating electron spins for applications in spintronics and spin-based quantum information…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 V. Sih , R. C. Myers , Y. K. Kato , W. H. Lau , A. C. Gossard , D. D. Awschalom

Motivated by a recent experiment (Sanchez-Yamagishi et.al, arXiv:1602.06815) reporting evidence of helical spin-polarized edge states in layer-biased twisted bilayer graphene under a magnetic flux, we study the possibility of stabilising a…

Mesoscale and Nanoscale Physics · Physics 2017-07-13 F. Finocchiaro , F. Guinea , P. San-Jose

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

We revisit the physics of electron gas bilayers in the quantum Hall regime [Nature, 432 (2004) 691; Science, 305 (2004) 950], where transport and tunneling measurements provided evidence of a superfluid phase being present in the system.…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 O. Kyriienko , K. Wierschem , P. Sengupta , I. A. Shelykh

In wide GaAs quantum wells where two electric subbands are occupied we apply a parallel magnetic field or increase the electron density to cause a crossing of the two $N=0$ Landau levels of these subbands and with opposite spins. Near the…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 Yang Liu , S. Hasdemir , J. Shabani , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin
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