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Related papers: Cooper Instability of Composite Fermions

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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

We consider both disorder and interaction effects on the magnetoresistance and Hall constant of composite fermions in the vicinity of half filled Landau level. By contrast to the standard case of Coulomb interacting two-dimensional electron…

Condensed Matter · Physics 2009-10-28 D. V. Khveshchenko

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

The particle-hole (PH) symmetry of {\em electrons} is an exact symmetry of the electronic Hamiltonian confined to a specific Landau level, and its interplay with the formation of composite fermions has attracted much attention of late. This…

Strongly Correlated Electrons · Physics 2018-01-04 Ajit C. Balram , J. K. Jain

Excitation modes in the range $2/5 \geq \nu \geq 1/3$ of the fractional quantum Hall regime are observed by resonant inelastic light scattering. Spectra of spin reversed excitations suggest a structure of lowest spin-split Landau levels of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Irene Dujovne , A. Pinczuk , Moonsoo Kang , B. S. Dennis , L. N. Pfeiffer , W. K. West

The pair distribution function and the static structure factor are computed for composite fermions. Clear and robust evidence for a $2k_F$ structure is seen in a range of filling factors in the vicinity of the half-filled Landau level.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 R. K. Kamilla , J. K. Jain , S. M. Girvin

The physics of two-dimensional electron gas in a perpendicular magnetic field, i.e., the quantum Hall system, is remarkably rich. At half filling of the lowest Landau level, it has been predicted that ``composite fermions'' -- emergent…

Strongly Correlated Electrons · Physics 2026-03-04 Bin-Bin Chen , Hongyu Lu , Zi Yang Meng

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 even denominator fractional quantum Hall effect has been experimentally observed in graphene in the fourth Landau level ($n = 3$). This paper is motivated by recent studies regarding the possibility of pairing and the nature of the…

Strongly Correlated Electrons · Physics 2025-02-14 Sonja Predin

Composite fermions (CFs), exotic particles formed by pairing an even number of flux quanta to each electron, provide a fascinating description of phenomena exhibited by interacting two-dimensional electrons at high magnetic fields. At and…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 D. Kamburov , Yang Liu , M. A. Mueed , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The residual interaction between composite fermions (CFs) can express itself through higher order fractional Hall effect. With the help of diagonalization in a truncated composite fermion basis of low-energy many-body states, we predict…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Chia-Chen Chang , Sudhansu S. Mandal , Jainendra K. Jain

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 consider the Coulomb drag between two two-dimensional electron layers at filling factor \nu = 1/2 each, using a strong coupling approach within the composite fermion picture. Due to an attractive interlayer interaction, composite…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Iddo Ussishkin , Ady Stern

The effective interaction between composite fermions, set entirely by the Coulomb potential and the underlying electronic Landau level orbitals, can stabilize exotic fractional quantum Hall states. In particular, half-filled Landau levels…

Mesoscale and Nanoscale Physics · Physics 2025-12-29 Ravi Kumar , Tomer Firon , André Haug , Misha Yutushui , Alon Ner Gaon , Kenji Watanabe , Takashi Taniguchi , David F. Mross , Yuval Ronen

The mean field composite Fermion (MFCF) picture has been qualitatively successful when applied to electrons (or holes) in the lowest Landau level. Because the energy scales associated with Coulomb interactions and with Chern-Simons gauge…

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

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

We investigate the feasibility of many candidate quantum Hall states for two-component bosons in the lowest Landau level. We identify interactions for which spin-singlet incompressible states occur at filling factors $\nu=2/3$, 4/5 and 4/3,…

Strongly Correlated Electrons · Physics 2013-06-25 Ying-Hai Wu , Jainendra K. Jain

Ultracold neutral bosons in a rapidly rotating atomic trap have been predicted to exhibit fractional quantum Hall-like states. We describe how the composite fermion theory, used in the description of the fractional quantum Hall effect for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Regnault , C. C. Chang , Th. Jolicoeur , J. K. Jain

While the integer quantum Hall effect of composite fermions manifests as the prominent fractional quantum Hall effect (FQHE) of electrons, the FQHE of composite fermions produces further, more delicate states, arising from a weak residual…

Strongly Correlated Electrons · Physics 2015-01-14 Ajit C. Balram , Csaba Tőke , A. Wójs , J. K. Jain

The fractional quantum Hall states are non-Fermi liquids of electrons, in that their ground states and low energy excitations are described not in terms of electrons but in terms of composite fermions which are bound states of electrons and…

Strongly Correlated Electrons · Physics 2024-06-24 Mytraya Gattu , G. J. Sreejith , J. K. Jain