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One of the most spectacular experimental findings in the fractional quantum Hall effect is evidence for an emergent Fermi surface when the electron density is nearly half the density of magnetic flux quanta ($\nu = 1/2$). The seminal work…

Strongly Correlated Electrons · Physics 2016-04-14 Scott D. Geraedts , Michael P. Zaletel , Roger S. K. Mong , Max A. Metlitski , Ashvin Vishwanath , Olexei I. Motrunich

Composite fermions have played a seminal role in understanding the quantum Hall effect, particularly the formation of a compressible `composite Fermi liquid' (CFL) at filling factor nu = 1/2. Here we suggest that in multi-layer systems…

Strongly Correlated Electrons · Physics 2013-05-29 Jason Alicea , Olexei I. Motrunich , G. Refael , Matthew P. A. Fisher

The composite Fermi liquid (CFL) in the half-filled Landau level is a cornerstone of the quantum Hall phase diagram. Recent experiments and numerics indicate that an anomalous composite Fermi liquid (ACFL) can also arise at half filling of…

Strongly Correlated Electrons · Physics 2026-01-16 Zhengyan Darius Shi , Pavel A. Nosov

Numerical results for the energy spectra of $N$ electrons on a spherical surface are used as input data to determine the quasiparticle energies and the pairwise ``Fermi liquid'' interactions of composite Fermion (CF) excitations in…

Condensed Matter · Physics 2009-10-28 P. Sitko , S. N. Yi , K. S. Yi , J. J. Quinn

One of the most successful theories of a non-Fermi liquid metallic state is the composite Fermi liquid (CFL) theory of the half-filled Landau level. In this paper, we study continuous quantum phase transitions out of the CFL state and into…

Strongly Correlated Electrons · Physics 2012-08-22 Maissam Barkeshli , John McGreevy

The 5/2 fractional quantum Hall effect in the second Landau level of extremely clean two-dimensional electron gases has attracted much attention due to its topological order predicted to host quasiparticles that obey non-Abelian quantum…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 M. Petrescu , Z. Berkson-Korenberg , Sujatha Vijayakrishnan , K. W. West , L. N. Pfeiffer , G. Gervais

Recent experimental observations of the fractional quantum anomalous Hall effect in spin/valley polarized moir\'{e} systems call for a more expansive theoretical exploration of strongly correlated physics in partially filled topological…

Strongly Correlated Electrons · Physics 2023-12-12 Nayan Myerson-Jain , Chao-Ming Jian , Cenke Xu

We propose a two-fluid description of fractional quantum Hall systems, in which one component is a condensate of composite bosons and the other a Fermi liquid formed by composite fermions (or simply electrons). We employ the theory to model…

Strongly Correlated Electrons · Physics 2023-11-13 Zhaoyu Han , Kyung-Su Kim , Steven A. Kivelson , Thors Hans Hansson

We study the effect of band anisotropy with discrete rotational symmetry $C_N$ (where $N\ge 2$) in the quantum Hall regime of two-dimensional electron systems. We focus on the composite Fermi liquid (CFL) at half filling of the lowest…

Strongly Correlated Electrons · Physics 2017-10-04 Matteo Ippoliti , Scott D. Geraedts , R. N. Bhatt

When confined to two dimensions and exposed to a strong magnetic field, electrons screen the Coulomb interaction in a topological fashion; they capture and even number of quantum vortices and transform into particl es called `composite…

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

The half-filled Landau level is widely believed to be described by the Halperin-Lee-Read theory of the composite Fermi liquid (CFL). In this paper, we develop a theory for the particle-hole conjugate of the CFL, the Anti-CFL, which we argue…

Strongly Correlated Electrons · Physics 2015-10-28 Maissam Barkeshli , Michael Mulligan , Matthew P. A. Fisher

The Fermionic Chern-Simons approach has had remarkable success in the description of quantum Hall states at even denominator filling fractions $\nu=\frac{1}{2m}$. In this paper we review a number of recent works concerned with modeling this…

Condensed Matter · Physics 2009-10-28 Steven H. Simon

The composite fermion Fermi liquid (CFL) state at $\nu=1/2$ filling of a Landau level is a paradigmatic non-Fermi liquid borne out purely by Coulomb interactions. But in what ways is this exotic state of matter different from a Fermi…

Strongly Correlated Electrons · Physics 2025-03-31 Cristian Voinea , Songyang Pu , Ajit C. Balram , Zlatko Papić

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

Recent variational studies have demonstrated that the strongly correlated ground states of the fractional quantum Hall (FQH) effect can be captured using machine learning approaches starting from no prior knowledge of the underlying…

Strongly Correlated Electrons · Physics 2025-12-02 Mytraya Gattu

Composite Fermi liquids (CFLs) are compressible states that can occur for 2D interacting fermions confined in the lowest Landau level at certain Landau level fillings. They have been understood as Fermi seas formed by composite fermions…

Mesoscale and Nanoscale Physics · Physics 2019-07-05 Jie Wang

The composite Fermion (CF) picture offers a simple intuitive way of understanding many of the surprising properties of a strongly interacting two-dimensional electron fluid in a large magnetic field. The simple way in which the mean field…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John J. Quinn , Arkadiusz Wojs

We investigate the relation between the Fermi sea (FS) of zero-field carriers in two-dimensional systems and the FS of the corresponding composite fermions which emerge in a high magnetic field at filling $\nu = \frac{1}{2}$, as the kinetic…

Strongly Correlated Electrons · Physics 2017-08-09 Matteo Ippoliti , Scott D. Geraedts , R. N. Bhatt

We consider a two dimensional electron system in an external magnetic field at and near an even denominator Landau level filling fraction. Using a fermionic Chern--Simons approach we study the description of the system's low energy…

Condensed Matter · Physics 2009-10-28 Ady Stern , Bertrand I. Halperin

By means of a specific heat ($C$) and electrical resistivity ($\varrho$) study, we give evidence of a pronounced Fermi liquid (FL) behavior with sizable mass renormalization, $m^{\ast}/m = 30$, up to unusually high temperatures $\sim$70 K…

Strongly Correlated Electrons · Physics 2019-09-04 A. Gauzzi , H. Moutaabbid , Y. Klein , G. Loupias , V. Hardy
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