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The recent production of synthetic magnetic fields acting on electroneutral particles, like atoms or photons, has boosted the interest in the quantum Hall physics of bosons. Adding pseudospin-1/2 to the bosons greatly enriches the scenario,…

Quantum Gases · Physics 2014-01-14 Tobias Graß , David Raventós , Maciej Lewenstein , Bruno Juliá-Díaz

The field-induced antiferromagnetic ordering in systems of weakly coupled S=1/2 dimers at zero temperature can be described as a Bose-Einstein condensation of triplet quasiparticles (singlet quasiholes) in the ground state. For the case of…

Strongly Correlated Electrons · Physics 2010-03-23 Tommaso Roscilde , Stephan Haas

Tunneling spectroscopy reveals evidence for interlayer electron-hole correlations in quantum Hall bilayer two-dimensional electron systems at layer separations near, but above, the transition to the incompressible exciton condensate at…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 J. P. Eisenstein , L. N. Pfeiffer , K. W. West

Fractional quantum Hall (FQH) fluids host quasiparticle excitations that carry a fraction of the electronic charge. Moreover, in contrast to bosons and fermions that carry exchange statistics of $0$ and $\pi$ respectively, these…

Strongly Correlated Electrons · Physics 2025-10-30 Koyena Bose , Ajit C. Balram

We investigate the relationship of the spontaneously inter-layer coherent ``111''state of quantum Hall bilayers at total filling factor \nu=1 to ``mutual'' composite fermions, in which vortices in one layer are bound to electrons in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Y. Veillette , L. Balents , Matthew P. A. Fisher

Quantum Hall systems host quasiparticles demonstrating correlated electron physics and non-trivial quantum statistics. Excitonic phases, archetypical for interaction effect, have attracted significant interest in recent years in…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Rui Pu , Naomi Mizuno , Fernando Camino , Runchen Li , Kenji Watanabe , Takashi Taniguchi , Dmitri Averin , Xu Du

Complexity in many-particle systems occurs through processes of qualitative differentiation. These are described by concepts such as emerging states with specific symmetries that are linked to order parameters. In quantum Hall phases of…

Mesoscale and Nanoscale Physics · Physics 2008-07-18 Biswajit Karmakar , Vittorio Pellegrini , Aron Pinczuk , Loren N. Pfeiffer , Ken W. West

Quantum Hall (QH) states of 2D single layer optical lattices are examined using Bose-Hubbard model (BHM) in presence of artificial gauge field. We study the QH states of both the homogeneous and inhomogeneous systems. For the homogeneous…

Quantum Gases · Physics 2018-08-14 Rukmani Bai , Soumik Bandyopadhyay , Sukla Pal , K. Suthar , D. Angom

We investigate the quasiparticle excitation of the bilayer quantum Hall (QH) system at total filling factor $\nu_{\mathrm{T}} = 1$ in the limit of negligible interlayer tunneling under tilted magnetic field. We show that the intrinsic…

Strongly Correlated Electrons · Physics 2010-02-19 P. Giudici , K. Muraki , N. Kumada , T. Fujisawa

At a surface between electromagnetic media the Maxwell equations allow either the usual boundary conditions, or exactly one alternative: continuity of E(perpendicular), H(perpendicular), D(parallel), B(parallel). These `flipped' conditions…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Alfred Scharff Goldhaber

In parallel to the condensed-matter realization of quantum Hall (Chern insulators), quantum spin Hall (topological insulators), and fractional quantum Hall (fractional Chern insulators) effects, we propose that bilayer flat band (FB)…

Strongly Correlated Electrons · Physics 2023-12-19 Gurjyot Sethi , D. N. Sheng , Feng Liu

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 report on integer and fractional quantum Hall states in a stack of two twisted Bernal bilayer graphene sheets. By exploiting the momentum mismatch in reciprocal space, we suppress single particle tunneling between both bilayers. Since…

Mesoscale and Nanoscale Physics · Physics 2023-06-08 Soyun Kim , Dohun Kim , Kenji Watanabe , Takashi Taniguchi , Jurgen. H. Smet , Youngwook Kim

Two-component fractional quantum Hall (2C-FQH) states in electron bilayers have been known for decades, yet their experimental realization remained limited to low-order fractions. Here we report on several families of high-order 2C-FQH…

Mesoscale and Nanoscale Physics · Physics 2025-12-04 E. Bell , K. W. Baldwin , L. N. Pfeiffer , K. W. West , M. A. Zudov

In two-dimensional (2D) electron systems under strong magnetic fields, interactions can cause fractional quantum Hall (FQH) effects. Bringing two 2D conductors to proximity, a new set of correlated states can emerge due to interactions…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Xiaomeng Liu , Zeyu Hao , Kenji Watanabe , Takashi Taniguchi , Bertrand Halperin , Philip Kim

We study the fractional quantum Hall effect in three dimensional systems consisting of infinitely many stacked two dimensional electron gases placed in transverse magnetic fields. This limit introduces new features into the bulk physics…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. D. Naud , Leonid P. Pryadko , S. L. Sondhi

Quantum confinement is known to influence fermionic condensates, resulting in quantum-size oscillations of superfluid/superconducting properties. Here we show that the impact of quantum-size effects is even more dramatic. Under realistic…

Quantum Gases · Physics 2011-10-24 A. A. Shanenko , M. D. Croitoru , A. V. Vagov , V. M. Axt , A. Perali , F. M. Peeters

We argue that the naively expected singularities of the Fermi surface, in the mixed composite boson - composite fermion states proposed [S.H. Simon et al., PRL 91, 046803(2003)] for the evolution of \nu = 1 bilayer quantum Hall system with…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. V. Milovanovic

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 provide numerical evidence for composite fermion pairing in quantum Hall bilayer systems at filling $\nu=1/2 + 1/2$ for intermediate spacing between the layers. We identify the phase as $p_x + i p_y$ pairing, and construct high accuracy…

Mesoscale and Nanoscale Physics · Physics 2008-10-24 Gunnar Moller , Steven H. Simon , Edward H. Rezayi