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Effect of interlayer tunneling in the double-layer fractional quantum Hall system at the total Landau level filling of $\nu=1/m$ ($m$: odd integer) is analyzed with the composite-fermion approach in which the flux attachment is directly…

Condensed Matter · Physics 2009-10-28 T. Nakajima , H. Aoki

The quantum Hall system can be used to study many-body physics owing to its multiple internal electronic degrees of freedom and tunability. While quantum phase transitions have been studied intensively, research on the temperature-induced…

Mesoscale and Nanoscale Physics · Physics 2022-02-25 Miuko Tanaka , Kenji Watanabe , Takashi Taniguchi , Kentaro Nomura , Seigo Tarucha , Michihisa Yamamoto

We use both Mutual Composite Fermion (MCF) and Composite Boson (CB) approach to study balanced and im-balanced Bi-Layer Quantum Hall systems (BLQH) and make critical comparisons between the two approaches. We find the CB approach is…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Jinwu Ye

The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems is explained by the emergent composite fermions (CF) out of ordinary electrons. It is possible to write down explicit wavefunctions explaining many if…

Mesoscale and Nanoscale Physics · Physics 2025-01-31 Thierry Jolicoeur

We describe a new phase transition of the bilayer quantum Hall ferromagnet at filling fraction $\nu = 1$. In the presence of static disorder (modeled by a periodic potential), bosonic $S=1/2$ spinons can undergo a superfluid-insulator…

Mesoscale and Nanoscale Physics · Physics 2008-11-24 Ganpathy Murthy , Subir Sachdev

In a bilayer system consisting of a composite-fermion Fermi sea in each layer, the tunnel current is exponentially suppressed at zero bias, followed by a strong peak at a finite bias voltage $V_{\rm max}$. This behavior, which is…

Strongly Correlated Electrons · Physics 2017-05-05 Yuhe Zhang , J. K. Jain , J. P. Eisenstein

A bilayer electron system in a strong magnetic field at low temperatures, with total Landau level filling factor nu =1, can enter a strongly coupled phase, known as the (111) phase or the quantum Hall pseudospin-ferromagnet. In this phase…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. I. Halperin , Ady Stern , S. M. Girvin

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

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

Bilayer quantum Hall systems, realized either in two separated wells or in the lowest two sub-bands of a wide quantum well, provide an experimentally realizable way to tune between competing quantum orders at the same filling fraction.…

Strongly Correlated Electrons · Physics 2015-06-03 Scott Geraedts , Michael P. Zaletel , Zlatko Papić , Roger S. K. Mong

We construct a class of composite fermion states for bilayer electron systems in a strong transverse magnetic field, and determine quantitatively the phase diagram as a function of the layer separation, layer thickness, and electron…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. W. Scarola , J. K. Jain

We study the Coulomb-to-dipole transition which occurs when the separation $d$ of an electron-hole bilayer system is varied with respect to the characteristic in-layer distances. An analysis of the classical ground state configurations for…

Strongly Correlated Electrons · Physics 2009-11-13 P. Ludwig , K. Balzer , A. Filinov , H. Stolz , M. Bonitz

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

Following recent work of Halperin, Lee, and Read, and Kalmeyer and Zhang, a double-layer electron system with total Landau-level filling factor $\nu=1/2$ is mapped onto an equivalent system of fermions in zero average magnetic field…

Condensed Matter · Physics 2009-10-22 N. E. Bonesteel

The electron-electron interaction in the Landau levels of bilayer graphene is markedly different from that of conventional semiconductors such as GaAs. We show that in the zeroth Landau level of bilayer graphene, in the orbital which is…

Strongly Correlated Electrons · Physics 2022-03-15 Ajit C. Balram

We study interlayer pairing of composite fermions in the total $\nu=1/2+1/2$ quantum Hall bilayer as a possible framework for understanding the experimentally observed transition from a compressible state at large layer spacing to a bilayer…

Strongly Correlated Electrons · Physics 2023-10-19 Haoyun Deng , Luis Mendoza , N. E. Bonesteel

We investigate two theoretical pseudomagnon-based models for a bilayer quantum Hall system (BQHS) at total filling factor $\nu_t = 1$. We find a unifying framework which elucidates the different approximations that are made. We also…

Strongly Correlated Electrons · Physics 2010-02-24 O. Tieleman , A. Lazarides , D. Makogon , C. Morais Smith

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

The state with a spontaneous interlayer phase coherence in a graphene based bilayer quantum Hall system is studied. This state can be considered as a gas of superfluid electron-hole pairs with the components of the pair belonging to…

Superconductivity · Physics 2009-12-23 D. V. Fil , L. Yu. Kravchenko

We present experimental evidence for a first-order freezing/melting phase transition in a nonequilibrium system -- an oscillated two-dimensional isobaric granular fluid. The steady-state transition occurs between a gas and a crystal and is…

Soft Condensed Matter · Physics 2007-05-23 M. D. Shattuck