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We study the coupled quantum Hall bilayers each at half-filled first excited Landau levels with varying the layer distance. Based on numerical exact diagonalization on torus, we identify two distinct phases separated by a critical layer…

Strongly Correlated Electrons · Physics 2019-05-29 Zheng Zhu , Shao-Kai Jian , D. N. Sheng

We find that for the pure Coulomb repulsion the composite Fermi sea at $\nu=1/2$ is on the verge of an instability to triplet pairing of composite fermions. It is argued that a transition into the paired state, described by a Pfaffian wave…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Park , V. Melik-Alaverdian , N. E. Bonesteel , J. K. Jain

We demonstrate that formulating the composite-fermion theory of the fractional quantum Hall (FQH) effect in terms of quaternions greatly expands its reach and opens the door into many interesting issues that were previously beyond the reach…

Strongly Correlated Electrons · Physics 2025-05-30 Mytraya Gattu , J. K. Jain

We evaluate electromagnetic-response observables in a half-filled Chern band, across a topological phase transition between a composite Fermi liquid (CFL) and a Fermi liquid (FL) phase. While a sharp gapped plasma mode exists deep in the…

Strongly Correlated Electrons · Physics 2026-02-06 Xinlei Yue , Fabian Pichler , Michael Knap , Ady Stern

Quasiperiodically driven fermionic systems can support topological phases not realized in equilibrium. The fermions are localized in the bulk, but support quantized energy currents at the edge. These phases were discovered through an…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 David M. Long , Philip J. D. Crowley , Anushya Chandran

Recent experiments on quantum Hall bilayers near total filling factor 1 have demonstrated that they support an ``imperfect'' two-dimensional superfluidity, in which there is nearly dissipationless transport at non-vanishing temperature…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 H. A. Fertig , Ganpathy Murthy

We introduce a new variational wavefunction for a quantum Hall bilayer at total filling $\nu = 1$, which is based on $s$-wave BCS pairing between composite-fermion electrons in one layer and composite-fermion holes in the other. We compute…

Strongly Correlated Electrons · Physics 2026-03-20 Glenn Wagner , Dung X. Nguyen , Steven H. Simon , Bertrand I. Halperin

Spin- and valley-polarized fractionally-filled moir\'e flatbands are known to host emergent Fermi-liquid phases, when analysed with the help of a dual description in terms of holes. The dominant Coulomb interactions in an almost flatband…

Strongly Correlated Electrons · Physics 2026-01-07 Ipsita Mandal

In two-dimensional electron systems confined to GaAs quantum wells, as a function of either tilting the sample in magnetic field or increasing density, we observe multiple transitions of the fractional quantum Hall states (FQHSs) near…

Mesoscale and Nanoscale Physics · Physics 2015-01-21 Yang Liu , D. Kamburov , S. Hasdemir , M. Shayegan , L. N. Pfeifer , K. W. West , K. W. Baldwin

Weakly disordered bilayer quantum Hall systems at filling factor $\nu=1$ show spontaneous interlayer phase coherence if the layers are sufficiently close together. We study the collective modes in the system, the current-voltage…

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

Effective mass of the composite fermion in the fractional quantum Hall system, which is of purely interaction originated, is shown, from a numerical study, to exhibit a curious nonmonotonic behavior with a staircase correlated with the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Masaru Onoda , Takahiro Mizusaki , Hideo Aoki

In this paper we study fractional quantum Hall composite fermion wavefunctions at filling fractions \nu = 2/3, 3/5, and 4/7. At each of these filling fractions, there are several possible wavefunctions with different spin polarizations,…

Mesoscale and Nanoscale Physics · Physics 2012-06-06 Simon C. Davenport , Steven H. Simon

Jinwu Ye has shown that two flux quanta are attached in one layer while the electron is in the other layer to form a mutually composite fermion (MCF). This idea is based on an earlier idea that CF are formed by attaching two flux quanta to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

We study the effective field theory for fermions in the color-flavor locked (CFL) phase of high density QCD. The effective theory contains a flavor nonet of baryons interacting with a nonet of pseudoscalar Goldstone bosons as well as a…

High Energy Physics - Phenomenology · Physics 2009-11-10 Andrei Kryjevski , Thomas Schaefer

A theory is developed for the paired even-denominator fractional quantum Hall states in the lowest Landau level. We show that electrons bind to quantized vortices to form composite fermions, interacting through an exact instantaneous…

Strongly Correlated Electrons · Physics 2015-05-14 Yuan-Ming Lu , Yue Yu , Ziqiang Wang

Multicomponent quantum Hall effect, under the interplay between intercomponent and intracomponent correlations, leads us to new emergent topological orders. Here, we report the theoretical discovery of fractional quantum hall effect of…

Strongly Correlated Electrons · Physics 2022-07-01 Tian-Sheng Zeng

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

By developing an algorithm for evaluating the basis states for the composite fermions with negative effective magnetic field, we perform the composite-fermion-diagonalization study for the fully spin-polarized fractional quantum Hall states…

Mesoscale and Nanoscale Physics · Physics 2015-12-14 Sutirtha Mukherjee , Sudhansu S. Mandal

Two-dimensional interacting electrons exposed to strong perpendicular magnetic fields generate emergent, exotic quasiparticles phenomenologically distinct from electrons. Specifically, electrons bind with an even number of flux quanta, and…

Strongly Correlated Electrons · Physics 2019-07-31 Md. Shafayat Hossain , Meng K. Ma , M. A. Mueed , D. Kamburov , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler , M. Shayegan

The low energy physics of the fractional Hall liquid is described in terms quasiparticles that are qualitatively distinct from electrons. We show, however, that a long-lived electron-like quasiparticle also exists in the excitation…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jainendra K. Jain , Michael R. Peterson