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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 fully spin polarized composite fermion (CF) Fermi sea at half filled lowest Landau level has a Fermi wave vector $k^*_{\rm F}=\sqrt{4\pi\rho_e}$, where $\rho_e$ is the density of electrons or composite fermions, supporting the notion…

Strongly Correlated Electrons · Physics 2019-10-15 Ajit C. Balram , J. K. Jain

While an ordinary Fermi sea is perturbatively robust to interactions, the paradigmatic composite-fermion (CF) Fermi sea arises as a non-perturbative consequence of emergent gauge fields in a system where there was no Fermi sea to begin…

Strongly Correlated Electrons · Physics 2015-11-02 Ajit C. Balram , Csaba Tőke , J. K. Jain

Composite fermions (CFs), exotic quasi-particles formed by pairing an electron and an even number of magnetic flux quanta emerge at high magnetic fields in an interacting electron system, and can explain phenomena such as the fractional…

Mesoscale and Nanoscale Physics · Physics 2022-07-19 K. A. Villegas Rosales , P. T. Madathil , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We report ballistic transport commensurability minima in the magnetoresistance of $\nu =3/2$ composite fermions (CFs). The CFs are formed in high-quality two-dimensional electron systems confined to wide GaAs quantum wells and subjected to…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 D. Kamburov , M. A. Mueed , I. Jo , Yang Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , J. J. D. Lee

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 composite fermion formalism elegantly describes some of the most fascinating behaviours of interacting two-dimensional carriers at low temperatures and in strong perpendicular magnetic fields. In this framework, carriers minimize their…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 D. Kamburov , Yang Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

Field theories of the composite-fermion (CF) metal model it as a Fermi sea of composite fermions coupled to an emergent gauge field. Within a random phase approximation, these theories predict that the Landau damping of the gauge field…

Strongly Correlated Electrons · Physics 2026-01-27 Amogh Anakru , Mytraya Gattu , Ajit C. Balram , Xiao-Chuan Wu , Prashant Kumar , Zhen Bi , J. K. Jain

Composite fermions (CFs) are the particles underlying the novel phenomena observed in partially filled Landau levels. Both microscopic wave functions and semi-classical dynamics suggest that a CF is a dipole consisting of an electron and a…

Mesoscale and Nanoscale Physics · Physics 2021-10-25 Guangyue Ji , Junren Shi

The flux quanta attachment to the electrons creates composite fermions (CFs). The mass, the size and the density of the CF are inconsistent with real material. The sequence of fractional charges which suggest formation of CF agrees with the…

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

Via measurements of commensurability features near Landau filling factor $\nu=1/2$, we probe the shape of the Fermi contour for hole-flux composite fermions confined to a wide GaAs quantum well. The data reveal that the composite fermions…

Mesoscale and Nanoscale Physics · Physics 2015-05-04 M. A. Mueed , D. Kamburov , Yang Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler

Composite fermion wavefuctions have been used to describe electrons in a strong magnetic field. We show that the polynomial part of these wavefunctions can be obtained by applying a normal ordered product of suitably defined annihilation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. Ruuska , M. Manninen

The pairing of composite fermions (CFs), electron-flux quasi-particles, is commonly proposed to explain the even-denominator fractional quantum Hall state observed at $\nu=5/2$ in the first excited ($N=1$) Landau level (LL) of a…

Mesoscale and Nanoscale Physics · Physics 2017-04-25 M. A. Mueed , D. Kamburov , Md. Shafayat Hossain , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

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

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 model of Composite Fermions for describing interacting electrons in two dimensions in the presence of a magnetic field is described. In this model, charged Fermions are combined with an even number of magnetic flux quanta in such a way…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Kramer , N. Magnoli , E. Mariani , M. Merlo , F. Napoli , M. Sassetti

The fractional quantum Hall effect (FQHE) in two-dimensional electron system (2DES) is an exotic, superfluid-like matter with an emergent topological order. From the consideration of Aharonov-Bohm interaction of electrons and magnetic…

Mesoscale and Nanoscale Physics · Physics 2017-11-02 W. Pan , W. Kang , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

Composite fermion (CF) is a topological quasiparticle that emerges from a non-perturbative attachment of vortices to electrons in strongly correlated two-dimensional materials. Similar to non-interacting fermions that form Landau levels in…

Mesoscale and Nanoscale Physics · Physics 2024-08-19 Songyang Pu , Ajit C. Balram , Yuwen Hu , Yen-Chen Tsui , Minhao He , Nicolas Regnault , Michael P. Zaletel , Ali Yazdani , Zlatko Papić

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

The physics of the state at even denominator fractional fillings of Landau levels depends on the Coulomb pseudopotentials, and produces, in different GaAs Landau levels, a composite fermion Fermi sea, a stripe phase, or, possibly, a paired…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Csaba Toke , Jainendra K. Jain
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