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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

Using a time-resolved phonon absorption technique, we have measured the specific heat of a two-dimensional electron system in the fractional quantum Hall effect regime. For filling factors $\nu = 5/3, 4/3, 2/3, 3/5, 4/7, 2/5$ and 1/3 the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. Schulze-Wischeler , U. Zeitler , C. v. Zobeltitz , F. Hohls , D. Reuter , A. D. Wieck , H. Frahm , R. J. Haug

We have measured the effective mass ($m^*$) of the four flux composite fermion at Landau level filling factor $\nu = 1/4$ ($^4$CF), using the activation energy gaps at the fractional quantum Hall effect (FQHE) states $\nu$ = 2/7, 3/11, and…

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

The longitudinal thermopower of ultra-high mobility two-dimensional electrons has been measured at both zero magnetic field and at high fields in the compressible metallic state at filling factor $\nu = 3/2$ and the incompressible…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 W. E. Chickering , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

Specific heat has had an important role in the study of superfluidity and superconductivity, and could provide important information about the fractional quantum Hall effect as well. However, traditional measurements of the specific heat of…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 B. A. Schmidt , K. Bennaceur , S. Gaucher , G. Gervais , L. N. Pfeiffer , K. W. West

The enigmatic even-denominator fractional quantum Hall state at Landau level filling factor $\nu=5/2$ is arguably the most promising candidate for harboring Majorana quasi-particles with non-Abelian statistics and thus of potential use for…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 Md. Shafayat Hossain , Meng K. Ma , M. A. Mueed , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

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

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

We propose a measure of the stability of composite fermions (CF's) at even-denominator Landau-level filling fractions. Assuming Landau-level mixing effects are not strong, we show that the CF liquid at $\nu=2+1/2$ in the $n=1$ Landau level…

Condensed Matter · Physics 2009-10-22 R. Morf , N. d'Ambrumenil

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

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 sequence of prominent fractional quantum Hall states up to $\nu$=5/11 around $\nu$=1/2 in a high mobility two-dimensional electron system confined at oxide heterointerface (ZnO) is analyzed in terms of the composite fermion model. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Denis Maryenko , Joseph Falson , Yusuke Kozuka , Atsushi Tsukazaki , Masaru Onoda , Hideo Aoki , Masashi Kawasaki

Measurements of the reflectivity of a 2-D electron gas are used to deduce the polarization of the Composite Fermion hole system formed for Landau level occupancies in the regime 1<\nu<2. The measurements are consistent with the formation of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Chughtai , V. Zhitomirsky , R. J. Nicholas , M. Henini

Even though composite fermions in the fractional quantum Hall liquid are well established, it is not yet known up to what energies they remain intact. We probe the high-energy spectrum of the 1/3 liquid directly by resonant inelastic light…

We show that at electronic filling factor $\nu=1/2$, the lowest Landau level constraint implies that at any temperature, and in the presence of {\it any} amount of particle-hole symmetric disorder, the {\it composite fermion} Hall…

Condensed Matter · Physics 2008-02-03 D-H Lee , Yu. A. Krotov , J. Gan , S. A. Kivelson

We report ultra-low temperature experiments on the obscure fractional quantum Hall effect (FQHE) at Landau level filling factor $\nu$=5/2 in a very high mobility specimen of $\mu=1.7 \times 10^7$ cm$^2$/Vs. We achieve an electron…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 W. Pan , J. -S. Xia , V. Shvarts , E. D. Adams , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

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

Using a 50-nm width, ultra-clean GaAs/AlGaAs quantum well, we have studied the Landau level filling factor $\nu = 5/2$ fractional quantum Hall effect in a perpendicular magnetic field $B \sim$ 1.7 T and determined its dependence on tilted…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Guangtong Liu , Chi Zhang , D. C. Tsui , Ivan Knez , Aaron Levine , R. R. Du , L. N. Pfeiffer , K. W. West

It is demonstrated that an understanding of the 5/2 fractional quantum Hall effect can be achieved within the composite fermion theory without appealing to the Pfaffian wave function. The residual interaction between composite fermions…

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

We study theoretically the dispersion of a single quasiparticle or quasihole of the fractional quantum Hall effect, obtained by injecting or removing a composite fermion. By comparing to a free fermion system, we estimate the regime of…

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