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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 study the pairing symmetry of the interlayer paired state of composite fermions in quantum Hall bilayers. Based on the Halperin-Lee-Read (HLR) theory, the effect of the long-range Coulomb interaction and the internal Chern-Simons gauge…

Strongly Correlated Electrons · Physics 2017-04-27 Hiroki Isobe , Liang Fu

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

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

The occurrence of incompressible quantum fluid states of a two dimensional system is a result of electron--electron interactions in a highly degenerate fractionally filled Landau level. Novel quasiparticles (QP's) called composite Fermions…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John J. Quinn , Arkadiusz Wojs , Kyung-Soo Yi , Jennifer J. Quinn

Much of the present day qualitative phenomenology of the fractional quantum Hall effect can be understood by neglecting the interactions between composite fermions altogether. For example the fractional quantum Hall effect at $\nu=n/(2pn\pm…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Seung-Yeop Lee , Vito W. Scarola , J. K. Jain

Via the application of parallel magnetic field, we induce a single-layer to bilayer transition in two-dimensional electron systems confined to wide GaAs quantum wells, and study the geometric resonance of composite fermions (CFs) with a…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 M. A. Mueed , D. Kamburov , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

In the framework of a recently developed model of interacting composite fermions, we calculate the energy of different solid and Laughlin-type liquid phases of spin-polarized composite fermions. The liquid phases have a lower energy than…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

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 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

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

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

We study the effect of the Chern-Simons gauge fields on the possible transition from two decoupled composite fermion metals to the interlayer coherent composite fermion state proposed by Alicea et al. [Phys. Rev. Lett. 103, 256403 (2009)]…

Strongly Correlated Electrons · Physics 2014-02-19 R. Cipri , N. E. Bonesteel

Recent experiments have reported chiral time-reversal broken superconductivity in $n$-layer rhombohedral graphene for $n = 4,5, 6$. Introducing a moir\'e potential by alignement with a hexagonal boron nitride substrate suppresses the…

Strongly Correlated Electrons · Physics 2026-04-24 Yunchao Zhang , Leyna Shackleton , T. Senthil

We consider a collection of fermions in a strong magnetic field coupled by a purely three body repulsive interaction, and predict the formation of composite fermions, leading to a remarkably rich phase diagram containing a host of…

Strongly Correlated Electrons · Physics 2015-05-19 Arkadiusz Wojs , Csaba Toke , Jainendra K. Jain

We study a bilayer GaAs hole system that hosts two distinct many-body phases at low temperatures and high perpendicular magnetic fields. The higher-density (top) layer develops a Fermi sea of composite fermions (CFs) in its half-filled…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Insun Jo , Hao Deng , Yang Liu , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

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

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 consider a number of strongly-correlated quantum Hall states which are likely to be realized in bilayer quantum Hall systems at total Landau level filling fraction ${\nu_T}=1$. One state, the $(3,3,-1)$ state, can occur as an instability…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yong Baek Kim , Chetan Nayak , Eugene Demler , N. Read , S. Das Sarma

Composite fermion metal states emerge in quantum Hall bilayers at total Landau level filling factor $\nu_T$=1 when the tunneling gap collapses by application of in-plane components of the external magnetic field. Evidence of this…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Biswajit Karmakar , Stefano Luin , Vittorio Pellegrini , Aron Pinczuk , Brian S. Dennis , Loren N. Pfeiffer , Ken W. West