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Related papers: Composite Fermions with a Warped Fermi Contour

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In high-quality two-dimensional electrons confined to GaAs quantum wells, near Landau level filling factors $\nu=$ 1/2 and 1/4, we observe signatures of the commensurability of the electron-flux composite fermion cyclotron orbits with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 D. Kamburov , M. A. Mueed , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , J. J. D. Lee , R. Winkler

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

We report the observation of commensurability oscillations of hole-flux composite fermions near filling factor $\nu=1/2$ in a high-mobility two-dimensional hole system confined to a GaAs quantum well, and subjected to a weak,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 D. Kamburov , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

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 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

We demonstrate the formation of composite fermions in two-dimensional quantum dots under high magnetic fields. The composite fermion interpretation provides a simple way to understand several qualitative and quantitative features of the…

Condensed Matter · Physics 2009-10-22 J. K. Jain , T. Kawamura

There is increasing experimental evidence for fractional quantum Hall effect at filling factor $\nu=2+3/8$. Modeling it as a system of composite fermions, we study the problem of interacting composite fermions by a number of methods. In our…

Mesoscale and Nanoscale Physics · Physics 2013-12-19 Csaba Toke , Chuntai Shi , Jainendra K. Jain

We investigate the properties of composite fermions with four attached flux quanta through tilted field experiments near Landau level filling factor nu = 3/4. The observed collapse of fractional quantum Hall gaps in the vicinity of this…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. S. Yeh , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

Pairing of composite fermions provides a possible mechanism for fractional quantum Hall effect at even denominator fractions and is believed to serve as a platform for realizing quasiparticles with non-Abelian braiding statistics. We…

Strongly Correlated Electrons · Physics 2023-05-05 Tongzhou Zhao , Ajit C. Balram , J. K. Jain

Exact diagonalization of a two-dimensional electron gas in a strong magnetic field in the disk geometry shows that there exists a filling factor range in the second Landau level where the states significantly differ from those in the lowest…

Mesoscale and Nanoscale Physics · Physics 2010-06-24 Csaba Toke , Michael R. Peterson , Gun Sang Jeon , Jainendra 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

We observe geometric resonance features of composite fermions on the flanks of the even denominator {\nu} = 1/2 fractional quantum Hall state in high-mobility two-dimensional electron and hole systems confined to wide GaAs quantum wells and…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. A. Mueed , D. Kamburov , S. Hasdemir , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

We introduce a variant of dipole representation for composite fermions in a half-filled Landau level, taking into account the symmetry under exchange of particles and holes. This is implemented by a special constraint on composite fermion…

Mesoscale and Nanoscale Physics · Physics 2023-05-03 S. Predin , A. Knežević , M. V. Milovanović

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

The reduction of the energy gap due to Landau level mixing, characterized by the dimensionless parameter $\lambda = (e^2/\epsilon l_0)/\hbar\omega_c$, has been calculated by variational Monte Carlo for the fractional quantum Hall effect at…

Condensed Matter · Physics 2009-10-28 V. Melik-Alaverdian , N. E. Bonesteel

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

Almost all quantum Hall effect to date can be understood as {\em integral} quantum Hall effect of appropriate particles, namely electrons or composite fermions. This paper investigates theoretically the feasibility of nested states of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sudhansu S. Mandal , Jainendra K. Jain

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

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

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
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